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# Terminate that decimal!

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Senior Manager
Joined: 21 Jun 2004
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Terminate that decimal! [#permalink]  10 Nov 2004, 15:23
I got a question like this in my GMAT and it drove me mad. I discovered a easy approach for it today. Will post the answer after you guyz give it a shot.

Which of the following fractions has a decimal equivalent that is a terminating decimal

A.10/189

B.15/196

C.16/225

D.25/144

E.39/128

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510 on my first GMAT. 610 on second GMAT.!
The struggle continues.

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GMAT Club Legend
Joined: 15 Dec 2003
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Only E has denominator which is all factors of 2. To have a terminating decimal, you have to have either all factors of 5 or factors of 2 or a combination of both.
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Best Regards,

Paul

Senior Manager
Joined: 21 Jun 2004
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Hats off to you Paul. You are absolutely right.

Q) How can you look at a fraction and tell if is a terminating or non terminating decimal?

a) First you need to ensure that you have the fraction in lowest terms.
b) Then look at the denominator. If the denominator has only 2's or 5's as prime factors then it is a terminating decimal. If not then it is a repeating decimal.

Now, lets explore the options:
Lets forget the numerators and pick up only the denominators:
189,196,225,144,128
189,225 and 144 have 3(prime no) as a factor. 196 has 7 as a prime factor.That just leaves us with 128 which has only 2 as a primefactor. Therefore,E is the answer.
_________________

510 on my first GMAT. 610 on second GMAT.!
The struggle continues.

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