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Which of the following fractions has a decimal equivalent

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Senior Manager
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Joined: 02 Dec 2007
Posts: 450

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

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New post 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
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Joined: 14 Aug 2007
Posts: 726

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Re: Terminating Decimal [#permalink]

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New post 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.

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VP
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Posts: 1033

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Re: Terminating Decimal [#permalink]

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

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VP
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Re: Terminating Decimal [#permalink]

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New post 20 Sep 2008, 18:00
1
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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

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VP
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Re: Terminating Decimal [#permalink]

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New post 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 .
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Re: Terminating Decimal [#permalink]

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New post 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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Which of the following fractions has a decimal equivalent

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