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We are GMAT Mentors, a non-profit focused on facilitating the free exchange of GMAT knowledge, support, and advice through one-on-one mentoring.
Since launching our service, we have gotten a lot of positive feedback from both mentees and mentors! We have had requests to start a tip/principle of the week, so we have decided to do just that. Each week we post a tip, trick, or principle focusing in either Verbal or Quant. You may already know some of these, but hopefully you will see something new!
This weeks tip focuses on terminating decimals, a concept that is easy to learn but often overlooked and forgotten on the test. I myself took too long to get this question wrong the first time it was asked, but once I learned this trick I was able to get it correct in less than a minute every time.
The answer is very simple - A fraction in its lowest term can be expressed as a terminating decimal if and only if the denominator has powers of only 2 and/or 5 after breaking down the fraction into its simplest prime factors.
Example:
1/10 is terminating because this breaks down to 1/(2*5) , however 1/9 is not terminating because it breaks down to 1/(3*3).
Now, lets take a look at a harder example - 6/124.
The first step is to breakdown the fraction into its simplest prime factor form. One way to do this is to break this down into prime factors (2 * 3) / (2 * 2 * 31). Cancelling out the common prime factors, this results in 3 / (2* 31). We now immediately know that this fraction is NOT terminating since there are not JUST 2 and 5s in the denominator of the fraction.
Thanks for reading and as always - If you would like to become a mentee and receive personalized support or become a mentor and help others, please check out our website or email us!
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