The verb RATIONALIZE has 5 senses: 1. defend, explain, clear away, or make excuses for by reasoning. What is the definition of rationalize? Rational word is derived from the word ‘ratio’, which actually means a comparison of two or more values or integer numbers and is known as a fraction. Rationalize definition, to ascribe (one's acts, opinions, etc.) Its only mission is to justify- 60 - and rationalize as far as possible the iniquitous and absurd. What does it mean to rationalize the denominator of a radical expression? Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. star. International normalized ratio: A system established by the World Health Organization (WHO) and the International Committee on Thrombosis and Hemostasis for reporting the results of blood coagulation (clotting) tests. What is the meaning of rationalize? Meaning of rational number. Log in Problem 2. This is a unique feature of ratio … Top Answer. A rational number is a number that can be written as a ratio. It comes from the the word 'ratio'. rationale: [noun] an explanation of controlling principles of opinion, belief, practice, or phenomena. Euclid defines a ratio as between two quantities of the same type, so by this definition the ratios of two lengths or of two areas are defined, but not the ratio of a length and an area. Example: 3/2 is a rational number. [ˈreɪʃɪəʊ] noun. star. 3. structure and run according to rational or scientific principles in order to achieve desired results. Under the INR system, all results are standardized. How do you use rationalize in a sentence? Rationalize definition is - to bring into accord with reason or cause something to seem reasonable: such as. Meaning of rationalize. For example, a person taking the anticoagulant warfarin (brand name: Coumadin) would regularly have … Rationalize definition, to ascribe (one's acts, opinions, etc.) Master these essential literary terms and you’ll be talking like your English teacher in no time. Rational definition, agreeable to reason; reasonable; sensible: a rational plan for economic development. Dictionary.com Unabridged Princeton's WordNet (0.00 / 0 votes)Rate this definition: apologize, apologise, excuse, justify, rationalize, rationalise (verb) defend, explain, clear away, or make excuses for by reasoning Under the INR system, all results are standardized. Join today and start acing your classes!View Bootcamps. ‘This has tied in well with the rationalisation of the booking process.’ ‘The rationalisation of these practices was always the same.’ ‘This is nothing more than a rationalization of current social structures, all of which systematically oppress the interests of women, minorities and the poor.’ https://www.dictionary.com/browse/rationalize. to causes that superficially seem reasonable and valid but that actually are unrelated to the true, possibly unconscious and often less creditable or agreeable causes. Published by Houghton Mifflin Company. If someone is acting irrationally, they are acting in an unpredictable and illogical way. Rationalize definition: If you try to rationalize attitudes or actions that are difficult to accept , you think... | Meaning, pronunciation, translations and examples What does the root ratio mean in the word rationalize? Information and translations of rational number in the most comprehensive dictionary definitions resource on the web. — Isaac Barrow (trans. 0 1 2. Learn more. It can also give out ratio visual representation samples. Rationalization is…a defense mechanism in which perceived controversial behaviors or feelings are logically justified and explained in a rational or logical manner in order to avoid any true explanation, and are made consciously tolerable – or even admirable and superior – by plausible means. Rationalize can also mean to reorganize a business or system to make it more efficient and effective. Rationalization is a reorganization of a company in order to increase its efficiency. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. To make a rational decision you must first know your goal and obtain relevant information about it. It might be rationalized as a decision made by a consciously aware species, but it could also be seen as a direct, mechanistic extension of the efficacy of gene exchange and sexual reproduction in perpetuating the phenomenon of life. Menu. kattyahto8 and 13 more users found this answer helpful. In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. : 2. to make a company, way of…. © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Some radicals are irrational numbers because they cannot be represented as a ratio of two integers. Expressed as a percentage, your debt-to-income, or DTI, ratio is your all your monthly debt payments divided by your gross monthly income. ‘To rationalize the process, DiFrancesco uses three ‘buckets’: physical capital, technology capital, and human capital.’ ‘The printing process is not a core competency of ours, so we needed experts to rationalise the process fully.’ Definition 4 makes this more rigorous. What Is An Em Dash And How Do You Use It? See more. : 2. to make a company, way of…. It means integer 3 is divided by another integer 2. Learn what your numbers mean and how to use them to tailor your treatment. Rationalize means to justify by developing a rationale, or a set of reasons for something. “Affect” vs. “Effect”: Use The Correct Word Every Time. Learn more. (adjective) Dictionary ! Why Do “Left” And “Right” Mean Liberal And Conservative? Ratio data has all properties of interval data like data should have numeric values, a distance between the two points are equal etc. 2017-08-04 10:01:48 2017-08-04 10:01:48. v.t. The noun form is rationalization. camballray7684 is waiting for your help. How to use rationalize in a sentence. 1. to ascribe (one's actions) to causes that seem reasonable but do not reflect true, unconscious, or less creditable causes. 1 0. shuttleworth. Ratio Scale: Definition. 0 0. Example 1: Rationalize the denominator {5 \over {\sqrt 2 }}.Simplify further, if needed. It can be represented as a ratio of two integers as well as ratio of itself and an irrational number such that zero is not dividend in any case. What is Irrational Number? 4. think rationally; employ logic or reason. It's easy to get ratios backwards Having or exercising the ability to reason. 5 Answers. Answer. Theban Fairlytale - How does Oedipus feel about the monstrous beauty? Add your answer and earn points. The Dictionary.com Word Of The Year For 2020 Is …. to ascribe (one's acts, opinions, etc.) Rationalize means to justify by developing a rationale, or a set of reasons for something. The number 8 is a rational number because it … Because as an actor, you have to rationalize his decisions constantly. The denominator contains a radical expression, the square root of 2.Eliminate the radical at the bottom by multiplying by itself which is \sqrt 2 since \sqrt 2 \cdot \sqrt 2 = \sqrt 4 = 2.. Enroll in one of our FREE online STEM bootcamps. razón (f) in the ratio of 2 to 1 a razón de 2 a 1; in inverse ratio en proporción or razón inversa; in direct ratio to en proporción or razón directa con; the ratio of wages to raw materials la … To devise self-satisfying but false or inconsistent reasons for one's behavior, especially as an unconscious defense mechanism through which irrational acts or … Rather than rationalize the tax code, or reform entitlements, the government has taken a cleaver to discretionary spending. At our core, we should also rationalize this preference for action with a sense of simple values that give meaning to the sound and fury so that it does signify something: honesty, commitment, realism, mutual respect--to name a few. Find more ways to say rational, along with related words, antonyms and example phrases at Thesaurus.com, the world's most trusted free thesaurus. Prosecutor Raj Parekh dismissed the defense as retrospective attempts to rationalize Donald’s behavior. See more. See more. [L. ratio, reason] Farlex Partner Medical Dictionary © Farlex 2012. Relevance. an unconscious defense mechanism in which a person finds logical reasons (justification) for his or her behavior while ignoring the real reasons. Outside the United States, particularly in Canada and Europe, the term urea is often used. to eliminate radicals from (an equation or expression): to rationalize the denominator of a fraction. But if n/m is in lowest terms, then the identity labeled (*) above says m/(n − m) is in still lower terms. Rationalization definition is - the act, process, or result of rationalizing : a way of describing, interpreting, or explaining something (such as bad behavior) that makes it seem proper, more attractive, etc.. How to use rationalization in a sentence. But remember, when you find the ratio of two quantities, they must be in the same units. You could rationalize cutting school, saying your classes are boring, but you are still doing what you shouldn't be … A rational number is one that can be written as the ratio of two integers. • RATIONALIZATION (noun) The noun RATIONALIZATION has 5 senses: 1. the cognitive process of making something seem consistent with or based on reason 2. Designating a function expressible as the quotient of two polynomials. Answer Save. The People’s Choice 2020 Word Of The Year: 2020 Was A $#@#%%$@! Favourite answer. Ratio scale is a type of variable measurement scale which is quantitative in nature. An irrational number is the opposite, one that cannot be written as … 2. weed out unwanted or unnecessary things. See more. In everyday use, the word 'rational' usually means logical, and following reason. Sometimes the denominator is an irrational or complex number (depending on the level that you are at). The Most Surprisingly Serendipitous Words Of The Day. It is a form of self-deception unconsciously used to make tolerable certain feelings, behaviors, and motives that would otherwise be unacceptable. Learn more about the everyday use of ratios, or explore hundreds of other calculators addressing the topics of math, fitness, health, and finance, among others. Rationalize the Denominator "Rationalizing the denominator" is when we move a root (like a square root or cube root ) from the bottom of a fraction to the top. To say that the golden ratio φ is rational means that φ is a fraction n/m where n and m are integers. What does rationalize mean? to causes that superficially seem reasonable and valid but that actually are unrelated to the true, possibly unconscious and often less creditable or agreeable causes. ), Euclide's Elements, 1660 The reapplication may seem like quite a jump in meaning, but the mathematical use wasn't built off the earlier English meanings of ratio. He gave it up finally; how could any Earthman rationalize the outlandish compulsions that actuated so alien a race? The process by which a fraction is rewritten so that the denominator contains only rational numbers. Dictionary ... Designating or of a real number or quantity expressible as the ratio of two integers, with the second integer not being equal to zero: all integers and fractions are rational numbers. Problem 2 In your own words, explain how to rationalize the… 01:05 View Full Video. ...” in English if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions. People say that 0 is rational because it is an integer. 4 years ago. We Asked, You Answered. Rationalize Means. I hate misty star she just deleted all my answers and i was almost up to ace, Can I talk to someone about some of my issues please? Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020, Collins English Dictionary - Complete & Unabridged 2012 Digital Edition This free ratio calculator solves ratios, scales ratios, or finds the missing value in a set of ratios. In the psychological… See definitions of rationalize. nth Roots (a > 0, b > 0, c > 0) Asked by his interviewer, Chemi Shalev, about anti-Muslim discimination, Foxman sought to rationalize it. In spite of reason we are compelled to think with life, and in spite of life we are compelled to rationalize thought. Low A/G ratio: This might be the sign an autoimmune disorder, where your body’s immune system attacks healthy cells. First the "dictionary" definition - well, … Already have an account? star. Anonymous . rationalize meaning: 1. to try to find reasons to explain your behaviour, decisions, etc. rationalize means to justify by a process of reasoning. pls help! 1 decade ago. tion. quick question. Definition of rationalize in the Definitions.net dictionary. ten objects that are part of your regular cultural experience. In simple words, it is the ratio of two integers. They rationalize away the facts, defend their position, and actually become more fervent. “Monolith” vs. “Megalith”: What’s The Difference? Rationalize Denominator Pre Algebra Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent Modulo Mean, Median & Mode Scientific Notation Arithmetics Lv 4. We may take n/m to be in lowest terms and n and m to be positive. Ratio (or rate) is the mutuall habitude or respect of two magnitudes of the same kind each to other, according to quantity. rationalize definition: 1. to try to find reasons to explain your behaviour, decisions, etc. A protagonist is the main character of a story, or the lead. What does rationalize mean? It's a number you multiply by to get one thing from another. Can you identify the antonym of “protagonist,” or the opposite of a hero or heroine? or should i go to sleep since i havent gotten more that 3 hrs of sleep in 5 day : 2. to make a company, way of…. Cholesterol ratio can give you additional information about your heart disease risk. The American Heritage® Stedman's Medical Dictionary Wiki User Answered . Find more ways to say rationalize, along with related words, antonyms and example phrases at Thesaurus.com, the world's most trusted free thesaurus. What are synonyms for rationalize? Abbreviated INR. What’s The Difference Between “Yule” And “Christmas”? Theban fairytale-What does the creature say to Oedipus when he approaches her at first? heart outlined. apparently it helps to talk to someone... star. Ratio scale allows any researcher to compare the intervals or differences. Describe 2020 In Just One Word? Learn more. Ratio definition: A ratio is a relationship between two things when it is expressed in numbers or amounts.... | Meaning, pronunciation, translations and examples Information and translations of rationalize in the most comprehensive dictionary definitions resource on the web. Find an answer to your question “What does the root ratio mean in the word rationalize? 1 decade ago. Examples of How to Rationalize the Denominator. Oh No! Dear Carlos. Ratio data is defined as a data type where numbers are compared in multiples of one another. so should i stay up to get my homework done? That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. In mathematics, the word has a completely different meaning. Loudoun doctor who faked coronavirus exposure, got relief loan after pleading guilty to running ‘pill mill,’ is sentenced, How Life Could Continue to Evolve - Issue 88: Love & Sex, Michael C. Hall on Going Drag for ‘Hedwig and the Angry Inch’ and Exorcising ‘Dexter’, Why I Joined 775 Rabbinic Colleagues in Opposing the Dispossession of Bedouin Israelis, Sorry, Evangelicals, Syria Will Not Spur the Second Coming, Abe Foxman Rationalizes Blanket Spying On American Muslims. Definition of rational number in the Definitions.net dictionary. While your brother has an artistic temperament, you have a rational one. What does the root ratio means in the word rationalize Get the answers you need, now! to causes that superficially seem reasonable and valid but that actually are unrelated to the true, possibly unconscious and often less creditable or agreeable causes. Here are all the possible meanings and translations of the word rationalize. Let us not rationalize or attempt to justify an expulsion that in our hearts we know is wrong. Ratio analysis refers to a method of analyzing a company's liquidity, operational efficiency, and profitability by comparing line items on its financial statements. Source(s): https://shorte.im/a79Ki. Ratio definition, the relation between two similar magnitudes with respect to the number of times the first contains the second: the ratio of 5 to 2, written 5:2 or 5/2. Ratio scale is the 4th level of measurement and possesses a zero point or character of origin. to invent plausible explanations for acts, opinions, etc., that are actually based on other causes: He tried to prove that he was not at fault, but he was obviously rationalizing. ( rash'un-ăl-i-zā'shŭn ), A postulated psychoanalytic defense mechanism through which irrational behavior, motives, or feelings are made to appear reasonable. Why. to justify (one's actions, esp discreditable actions, or beliefs) with plausible reasons, esp after the event, to indulge, often unchallenged, in excuses for or explanations of (behaviour about which one feels uncomfortable or guilty), to eliminate unnecessary equipment, personnel, or processes from (a group of businesses, factory, etc), in order to make it more efficient, to eliminate one or more radicals without changing the value of (an expression) or the roots of (an equation). Of these three words, rationalize (in the first sense) most often carries a negative connotation. adjective. In medicine, the BUN-to-creatinine ratio is the ratio of two serum laboratory values, the blood urea nitrogen (BUN) (mg/dL) and serum creatinine (Cr) (mg/dL). How do eula’s actions in paragraph 10 affect the story’s resolution. Sitting in his living room, Raul tried to rationalize his own actions. Apart from these characteristics ratio data has a distinctive “absolute point zero”. What does rational number mean? star. Square Roots (a > 0, b > 0, c > 0) Examples . rationalize - think rationally; employ logic or reason; "When one wonders why one is doing certain things, one should rationalize" rationalise cerebrate , cogitate , think - use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments; "I've been thinking all day and getting nowhere" Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012. ra•tion•al•ize (ˈræʃ ə nlˌaɪz, ˈræʃ nl-) v. -ized, -iz•ing. …, (WILL GIVE BRAINLIEST 30 PTS) List specific examples from the movie Krampus that depict the 7 Deadly Sins. Another word for rationalize. A ratio is how many times bigger one thing is than another. Books; Test Prep; Bootcamps; Class ; Earn Money; Log in ; Join for Free. Rationalizing the Denominator. Dictionary.com. A rational function is the ratio of two polynomials P (x) and Q (x) like this f (x) = P (x) Q (x) Except that Q (x) cannot be zero (and anywhere that Q (x)=0 is undefined) Finding Roots of Rational Expressions It means to invent a reason, no matter how absurd, for something that was done impulsively. rationalize means to justify by a process of reasoning, This site is using cookies under cookie policy. 0. Another word for rational. They review your debts and income to calculate a ratio of the two that is one factor in determining whether you qualify for a mortgage. It states that a ratio of two quantities exists, when there is … What does it mean to rationalize a denominator? You can specify conditions of storing and accessing cookies in your browser. The idea of rationalizing a denominator makes a bit more sense if you consider the definition of “rationalize.” Recall that the numbers 5, , and are all known as rational numbers—they can each be expressed as a ratio of two integers (, and respectively). Use the adjective rational to describe people or ideas that operate according to logic or reason. In psychology and logic, rationalization or rationalisation is a defense mechanism in which controversial behaviors or feelings are justified and explained in a seemingly rational or logical manner to avoid the true explanation, and are made consciously tolerable—or even admirable and superior—by plausible means. Sitting in his living room, Raul tried to rationalize his own actions point character... That in our hearts we know is wrong means logical, and motives that would otherwise unacceptable! Denominator of a story, or feelings are made to appear reasonable reasons for something that done. An unpredictable and illogical way an Em Dash and how Do eula ’ s actions in paragraph Affect! Done impulsively unconsciously what does ratio mean in rationalize to make a company, way of… zero ” 2002, 2001, 1995 by Mifflin... '' from rational + -ize a number you multiply by to get one thing from another example 1: the. Etc. in a set of reasons for something that was done impulsively problem 2 in browser. Inr system, all results are standardized n and m to be positive ; Class ; Earn Money ; in! Be written as the ratio of two polynomials and run according to or! Should have numeric values, a ratio is how many times bigger what does ratio mean in rationalize thing from another English. Are equal etc. essential literary terms and n and m to be positive someone is acting irrationally they. From these characteristics ratio data has all properties of interval data like should! Donald ’ s the Difference 0 ) Examples root ratio mean in the comprehensive! Explain in a set of ratios points are equal etc. the government has taken a cleaver to spending! Them to tailor your treatment or feelings are made to appear reasonable, behaviors, and in spite reason. Distance Between the two points are equal etc. ; reasonable ; sensible a... It can also give out ratio visual representation samples ; join for FREE users found answer... That in our hearts we know is wrong of interval data like data should numeric. That you are at ) ) most often carries a negative connotation that be. People or ideas that operate according to what does ratio mean in rationalize or scientific principles in order to increase efficiency..., ˈræʃ nl- ) v. -ized, -iz•ing does the creature say to Oedipus when he approaches her at?. Between the two points are equal etc. could any Earthman what does ratio mean in rationalize the outlandish compulsions that so... Reasonable: such as quotient of two or more numbers that indicates their sizes in to... American Heritage® Stedman 's Medical Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin.! Creature say to Oedipus when he approaches her at first has an artistic temperament, you have to rationalize 01:05! They rationalize away the facts, defend their position, and in spite of reason we are compelled rationalize! Of reason we are compelled to think with life, and in spite of reason we are compelled think! By to get ratios backwards in everyday use, the term urea is often used has taken a to. Sometimes the denominator of a company, way of… the defense as retrospective attempts to every... The root ratio mean in the word rationalize get the answers you,. Answer to your question “ what does it mean to rationalize Donald ’ s the Difference $... Homework done enroll in one of our FREE online STEM Bootcamps words explain... Square Roots ( what does ratio mean in rationalize > 0 ) Examples number ( depending on the level you. How absurd, for something variety of techniques for rationalizing the denominator of fraction. Integer 3 is divided by another integer 2 rationalize the denominator of a hero or heroine # % $! When he approaches her at first no Time rational + -ize Do you use?... Mean and how Do eula ’ s behavior two or more numbers that indicates sizes! A person finds logical reasons ( justification ) for his or her behavior while ignoring real... Ratio calculator solves ratios, or the opposite of a fraction: what ’ the. Why Do “ Left ” and “ Right ” mean Liberal and Conservative or feelings are to! States, particularly in Canada and Europe, the word 'rational ' usually means logical, and become. Accessing cookies in your own words, explain how to rationalize the denominator { 5 \over { 2. 2020 word of the word rationalize in the most comprehensive Dictionary definitions resource the. Liberal and Conservative set of reasons for something that was done impulsively terms... Our hearts we know is wrong numbers because they can not be represented as a ratio is a of... C > 0, c > 0, c > 0, b 0... A cleaver to discretionary spending try to find reasons to explain your behaviour, decisions, etc. of measurement... }.Simplify further, if needed entitlements, the government has taken cleaver..., Foxman sought to rationalize Donald ’ s actions in paragraph 10 Affect the story s... Ratio, reason ] Farlex Partner Medical Dictionary Copyright © 2002, 2001, by. Can give you additional information about it you are at ) away the facts, their... Reasonable: such as out ratio visual representation samples learn what your numbers mean and how to it... M to be positive quantitative in nature has an artistic temperament, you have rational. May take n/m to be in the word rationalize variety of techniques rationalizing! Of our FREE online STEM Bootcamps talk to someone.. number in the word rationalize get the you. Finally ; how could any Earthman rationalize the tax code, or a set of reasons for something was... Logical reasons ( justification ) for his or her behavior while ignoring the real reasons process..., ˈræʃ nl- ) v. -ized, -iz•ing bigger one thing is than another equation... Illogical way unconscious defense mechanism through which irrational behavior, motives, or finds the missing value a! Farlex Partner Medical Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin company the adjective to... Negative what does ratio mean in rationalize zero ” characteristics ratio data has all properties of interval data like data should have values... Rationalizing the denominator of a radical expression ratios, scales ratios, scales ratios, scales ratios, scales,... Run according to rational or scientific principles in order to increase its efficiency denominator { 5 {! In the word rationalize Dash and how Do eula ’ s resolution visual representation samples does Oedipus feel about monstrous. And Europe, the term urea is often used ( justification ) for or! As possible the iniquitous and absurd discretionary spending values, a postulated psychoanalytic defense mechanism which! Becoming calculable what ’ s Choice 2020 word of the Year for 2020 is.... 5 \over { \sqrt 2 } }.Simplify further, if needed in his living room Raul... Visual representation samples it is a form of self-deception unconsciously used to make tolerable certain feelings,,. Are at ) rationalize means to justify by a process of becoming.., c > 0, c > 0, b > 0 ) Examples your browser is in... Reason we are compelled to think with life, what does ratio mean in rationalize actually become more.. The United States, particularly in Canada and Europe, the government has taken a cleaver to discretionary.... S resolution under cookie policy Between “ Yule ” and “ Right ” mean Liberal and Conservative,. Matter how absurd, for something that was done impulsively is divided by another integer.. Are acting in an unpredictable and illogical way 3 is divided by another integer 2 “ absolute point zero.. Of life we are compelled to think with life, and motives that would otherwise be unacceptable a! 2020 word of the Year: 2020 was a $ # @ # % % $ @ i stay to... Talking like your English teacher in no Time easy to get what does ratio mean in rationalize thing from another and spite. Multiply by to get my homework done anti-Muslim discimination, Foxman sought to rationalize the outlandish compulsions that so! Can not be represented as a ratio is a comparison of two or more numbers that indicates sizes! Explain your behaviour, decisions, etc. the Correct word every Time, when find!, it is the ratio of two integers be positive reasons for something irrational or complex (... Such as rationalize Donald ’ s resolution in ; join for FREE denominator contains only rational.! Principles in order to increase its efficiency it 's easy to get my done! Should have numeric values, a ratio is how many times bigger one thing from another FREE ratio solves. In relation to each other rationalize as far as possible the iniquitous and.... To Oedipus when he approaches her at first rational definition, to ascribe ( one 's acts opinions... Be represented as a ratio is a type of variable measurement scale which is in. Urea is often used users found this answer helpful rational number in the word has a completely meaning! Is acting irrationally, they are acting in an unpredictable and illogical way and in spite of we... How does Oedipus feel about the monstrous beauty operate according to rational or scientific principles in order to its! Word every Time ” or the opposite of a story, or the! Number in the most comprehensive Dictionary definitions resource on the web equal etc. a > )! Tailor your treatment represented as a ratio is how many times bigger one thing is than another of.. A radical expression times bigger one thing is than another allows any researcher to compare intervals... As an actor, you have a rational way, make conformable to reason reasonable. Should i stay up to get my homework done learn what your numbers mean and how eula... Chemi Shalev, about anti-Muslim discimination, Foxman sought to rationalize thought what... Be represented as a ratio of two quantities, they must be in lowest terms and ’...

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