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GMAT Fractions - Don't get lost in the calculations

Have you wondered how writers can make a seemingly simple GMAT topic like fractions into time-consuming calculations. One strategy that GMAT test takers must adopt to simplify the calculations. For example

Dividing by 5 is the same as multiplying by 2/10. For example:

• 840/5 = ?
• 840/5 = 840*(2/10) = 84*2 = 168

Multiplying or dividing by 10’s and 2’s is generally easier than using 5’s. 90% of the time, fractions will be easier to perform arithmetic. Decimals are sometimes more useful when comparing numbers relative to one another, such as in a number line, but these questions are the exception. Even if given a decimal (or percent) looks easy, quickly convert to a fraction. Some common ones to memorize:

• 1/9 = 0.111 repeating
• 1/8 = 0.125
• 1/7 = ~0.14
• 1/6 = 0.166 repeating
• 1/5 = 0.20
• 1/4 = 0.25
• 1/3 = 0.333 repeating
• 1/2 = 0.5 repeating

Note: Multiples of these, such as 3/8 (0.375) are also important to remember, but can easily be derived by multiplying the original fraction (1/8 * 3 = 3/8 = 0.125 * 3 = 0.375)

Denominators are super important. A denominator of a reduced fraction with a multiple of 7 will not have a finite decimal, for example. Keep in mind what you can logically combine, and what you cannot. This list is by no means extensive. There are many many more shortcuts. If you have some, leave them in the comment field, but generally practice and familiarity with the numbers helps a lot in doing quick arithmetic.

Atul Jose F1GMAT's FounderAbout the Author 

I am Atul Jose, Founding Consultant of F1GMAT, an MBA admissions consultancy that has worked with applicants since 2009.

For the past 15 years I have edited the application files of admits to the M7 programs: Harvard Business School, Stanford Graduate School of Business, the Wharton School, MIT Sloan, Chicago Booth, Kellogg School of Management, and Columbia Business School, together with admits to Berkeley Haas, Yale School of Management, NYU Stern, Michigan Ross, Duke Fuqua, Darden, Tuck, IMD, London Business School, INSEAD, SDA Bocconi, IESE Business School, HEC Paris, McCombs, and Tepper, plus other programs inside the global top 30.

 

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