GMAT Fractions Rules to Solve Problem Solving Questions

    Rituparna Nath Rituparna Nath
    Content Writer at Study Abroad Exams

    GMAT fractions are numbers in a form \(\pm\)\(\frac{x}{y}\). The top number is the numerator and the bottom number is the denominator and both are positive integers. The denominator indicates how many of the equal parts make up the whole, and the numerator provides the total number of equal parts. GMAT Fractions are integer numbers and division can also be demonstrated using fractions. The GMAT problem-solving section consists of GMAT fractions decimals and percents type of questions.

    Table of Contents

    1. GMAT Fractions Rules
      1.1 Addition and Subtraction
      1.2 Multiplication
      1.3 Division
      1.4 Proportion
      1.5 Learning Mixed Numbers
    2. Conversion Rules
      2.1 Decimals to Fractions
      2.2 Fractions to Decimals
      2.3 Fractions to Percents
      2.4 Percents to Fractions
    3. GMAT Fractions Practice Papers

    GMAT Fractions Rules

    To solve GMAT problem solving questions, GMAT fractions rules must be followed. Here are a few rules discussed that are required to solve GMAT fractions:

    Addition and Subtraction in GMAT Fractions

    It is to be remembered: two fractions with the same denominators can be added or deducted in a swift manner – otherwise not.

    ab + cd a+cb+d

    Few instances to simplify it:

    1. Test taker can add the numerators and keep the denominator the same:

    \(\frac{3}{8}-\frac{2}{8}=\frac{1}{8}\)

    \(\frac{5}{9}-\frac{1}{9}=\frac{4}{9}\)

    1. If the need arises to add or deduct fractions not having similar denominators, perform the opposite function of simplifying and displaying them. It is equivalent to fractions having similar denominators. Till the time you multiply/divide the numerator or denominator with the same number. It will remain equivalent:

    \(\frac{3}{8}*\frac{9}{9}=\frac{27}{72}\)

    From here, we can narrow down a helpful algebraic expression:

    \(\frac{x+y}{z}=\frac{x}{z}+\frac{y}{z}\)

    1. When adding/deducting fractions possessing different denominators, multiply the fractions so that they display the least common multiple or LCM. For instance,

    \(\frac{1}{3}+\frac{3}{4}\)

    \(LCM=12\)

    \(\frac{1}{3}*\frac{4}{4}=\frac{4}{12}\)

    \(\frac{3}{4}*\frac{3}{3}=\frac{9}{12}\)

    \(\frac{1}{3}+\frac{3}{4}=\frac{4}{9}+\frac{9}{12}=\frac{13}{12}=1\frac{1}{12}\)

    Multiplication in GMAT Fractions

    Multiplying fractions in the GMAT quant section is the rule of cross-canceling or canceling the numerator with the other denominator (not their own). The other method is to cancel that individual fraction’s numerator with the denominator.

    \(Multiply:3\frac{1}{2}*\frac{4}{5}\)

    Division in GMAT Fractions

    The holistic dividing rule is, reciprocal to the fraction following the division sign which is also termed the divisor. This will result in the denominator becoming the numerator and vice versa, then multiply by that number.

    For instance,

    \(Divide:\frac{\frac{3}{5}}{2\frac{1}{10}}\)

    This reciprocal is called inversion in mathematical terms.

    Proportion in GMAT Fractions

    A proportion and ratio are equal to each other. When we have two ratios or fractions set equal to each other it is then known as proportion. For instance,

    x/12 = 33/28

    Rules to remember here are:

    Never overlook the vital rule of canceling before multiplying.

    This leads to the next guideline which is – what we can and cannot cancel in proportion. The general proportion is a/b = c/d.

    Now, we know that we can cross-cancel any numerator with its denominator and thus you can cancel out the mutual factors in ‘a’ and ‘b’, or in c and d. In fact, we can multiply or divide both sides of an equation with a similar thing. Therefore, we can cross out any numerators or ‘a’ or ‘c’, or denominators ‘b’ or ‘d’.

    a/b= c/d

    FOLLOW THIS:

    x/12 = 33/28 = x/3 = 33/7 = x = 99/7

    Learning Mixed Numbers in GMAT Fractions

    What are mixed numbers? Mixed numbers are a mixture of whole numbers and a fraction. For instance \(3\frac{1}{2}\), here 3 is the whole number and ½ is the fraction. To modify the mixed number into a fraction, multiply the whole number by the denominator and add the outcome with the numerator.

    \(3\frac{1}{2}\) = (3*2 +1)/ 2= 7/2

    For the GMAT fractions, candidates must focus more on the overall practice of the GMAT quant in a rigorous manner. The GMAT exam is a tricky one and with chapters like fractions, they will try to confuse the candidates with easy yet tricky questions.

    Conversion Rules for GMAT Fractions Decimals and Percents

    GMAT fractions to memorize have different ways to express the same value. Here are a few rules to convert Fractions, decimals, and percents:

    Conversion of Decimals to Fractions

    To convert decimals to fractions, one must know the place value of the decimal. For example, .324 has digits in tenths’, hundredths’, and thousandths places. So, .324 would become 324/1000.

    Conversion of Fractions to Decimals

    To convert any GMAT fractions to a decimal includes long division. A fraction is a numerator divided by the denominator. So, 7/9 is simply 7 divided by 9, which you can work out by long division to be 0.77.

    Conversion of Fractions to Percents

    Any percentage when converted to fraction it becomes, n% is n/100. This refers to a fraction with 100 as the denominator. To find out what percent is a fraction candidates need to divide the fraction with 100 in the denominator to get the answer in percentage.

    For instance, to convert 25/200 in percent. One needs to convert it to an equivalent fraction with 100 as the denominator.

    Conversion of Percents to Fractions

    Candidates know that n% equals n/100. So, if the examiner asks to convert 150% into a fraction. It would be 150/100, which makes the answer 1 ½.

    GMAT Fractions Practice Papers

    GMAT fractions preparation needs to have practice sessions regularly. GMAT practice papers offer free GMAT prep through numerous practice questions and free PDFs. From the GMAT practice papers, candidates get an idea of question types. The following are a few of the GMAT practice papers that can help to ace the GMAT score:

    GMAT Fractions Practice Test 1GMAT Fractions Practice Test 2
    GMAT Fractions Practice Test 3GMAT Fractions Practice Test 4
    GMAT Fractions Practice Test 5GMAT Fractions Practice Test 6
    GMAT Fractions Practice Test 7GMAT Fractions Practice Test 8

    Read More GMAT Fractions Questions

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    Ans. Generally speaking anything above 750 is a good score for admission to IBS Hyderabad. But even a high GMAT score does not guarantee admission to IBS Hyderabad because the shortlisting is profile-based. GMAT score is just a part of the entire selection process. You need to improvise your profile by working on other aspects also like  essays profile academics extracurricular activities Academics: Your 12th class marks graduation grades, post-graduation, and certification scores along with the GMAT cutoff is considered in your academic profile. Leadership: The leadership skills of the aspirants are tested on the basis of their prior achievements and roles. Personal attributes: This comprises your personal qualities like hobbies, talents, and extracurricular skills. Aspirants from diverse work experiences, cultures, and educational backgrounds are welcomed at IBS Hyderabad. So along with preparing well for GMAT, give importance to these parameters as well to increase your chances of admission. Read more

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    • Top Answer By Akanksha Sharma on 30-Jan-2023

    Ans. In case you are enquiring about the CAT percentile let me clarify that ISB Hyderabad does not take into consideration CAT scores. It accepts GMAT/GRE scores only. Most importantly, the ISB Shortlisting process is profile-based. This means even with a lower percentile you can manage to get shortlisted provided you have an excellent profile. There is no fixed cutoff for GMAT. However, a 700+ GMAT score isn't a must-have for ISB if your application is strong in other areas. According to an ISB spokesperson, candidates were admitted to the 2021 cohort with scores as low as 580, and as high as 780. So the GMAT score range for ISB is 580-780. Read more

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    • Top Answer By Yash Bhati on 30-Jan-2023

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    • Top Answer By Nia Malhotra on 17-May-2021

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    • Top Answer By Bejoy John on 30-Jan-2023

    Ans. Yes, ISB Hyderabad’s PGP program requires a minimum of 2 years of full-time paid work experience. This criteria came into force on 31st March 2016 and is still a necessity. For candidates who lack in this aspect, there is a back door entry called the Early Entry Option or the EEOs. Under this, you can apply right away, go through the selection process, and receive the admission offer but join only after working for 2 years. This can also be referred to as Deferred admission.   Read more

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    • Top Answer By Mahak Nigam on 30-Jun-2022

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    • Top Answer By Debadrita Sinha on 10-Feb-2022

    Ans. Very few universities in Canada offer MBA without GMAT scores. They will consider other factors as eligibility criteria such as work experience for selection.  York University’s Schulich of School of Business, McMaster University’s Degroote School of Business are some of the most reputed business schools in Canada that offer MBA without GMAT. Other than these, other universities offering MBA without GMAT are New York Institute of Technology, Thompson Rivers University, Lakehead University, Wilfrid Laurier University.  You have the option to apply for executive MBAs without a GMAT score, too. Read more

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    • Top Answer By Aditi Sen on 12-May-2021

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    • Top Answer By Aditya Mahatha on 06-Jan-2023

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