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# Which of the following fractions has a decimal equivalent

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Senior Manager
Joined: 02 Dec 2007
Posts: 450

Kudos [?]: 288 [0], given: 6

Which of the following fractions has a decimal equivalent [#permalink]

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20 Sep 2008, 07:51
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Can anyone suggest an easy approach ?

Kudos [?]: 288 [0], given: 6

Director
Joined: 14 Aug 2007
Posts: 726

Kudos [?]: 211 [0], given: 0

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20 Sep 2008, 08:06
Nihit wrote:
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

Can anyone suggest an easy approach ?

E.
128 has all powers of 2.

Kudos [?]: 211 [0], given: 0

VP
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 703 [0], given: 1

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20 Sep 2008, 08:26
alpha_plus_gamma wrote:
Nihit wrote:
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

Can anyone suggest an easy approach ?

E.
128 has all powers of 2.

Can you elaborate a bit more please ?
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 703 [0], given: 1

VP
Joined: 05 Jul 2008
Posts: 1402

Kudos [?]: 437 [1], given: 1

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20 Sep 2008, 18:00
1
KUDOS
Nihit wrote:
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

Can anyone suggest an easy approach ?

If we can express the denominator in the form of 2^x X 5^y the decimal will terminate.

Only 128 can be expressed as 2 ^ 7 X 5 ^ 0

HTH

Kudos [?]: 437 [1], given: 1

VP
Joined: 17 Jun 2008
Posts: 1374

Kudos [?]: 406 [0], given: 0

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20 Sep 2008, 22:48
icandy wrote:
Nihit wrote:
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

Can anyone suggest an easy approach ?

If we can express the denominator in the form of 2^x X 5^y the decimal will terminate.

Only 128 can be expressed as 2 ^ 7 X 5 ^ 0

HTH

Great !!!ut what if the dinominator where some other number other than these and still terminating .
_________________

cheers
Its Now Or Never

Kudos [?]: 406 [0], given: 0

SVP
Joined: 17 Jun 2008
Posts: 1535

Kudos [?]: 279 [0], given: 0

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22 Sep 2008, 11:30
icandy wrote:
Nihit wrote:
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

Can anyone suggest an easy approach ?

If we can express the denominator in the form of 2^x X 5^y the decimal will terminate.

Only 128 can be expressed as 2 ^ 7 X 5 ^ 0

HTH

icandy, nice explanation. What is the logic behind this? Is it that only prime numbers 2 and 5 can divide 1 with terminating decimal?

Kudos [?]: 279 [0], given: 0

Re: Terminating Decimal   [#permalink] 22 Sep 2008, 11:30
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