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# Which of the following fractions has a decimal equivalent

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Manager
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Which of the following fractions has a decimal equivalent [#permalink]  08 Oct 2006, 09:12
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Which of the following fractions has a decimal equivalent that is a terminating decimal?

A. 189/10

B. 196/15

C. 225/16

D. 144/25

E. 128/39
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SVP
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i GUESS SOMETHING IS MISSING IN THE QUESTION OR WE WILL GET MULTIPLE ANSWERS??
Senior Manager
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Both A and D seem like terminating decimals..

A = 1.89

D = 576/100 = 5.76
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Correct the query......... fast...........
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A & D
Manager
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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

I think this was the original question

If you can see a patern , the denominators of A,B,C and D are a square of a number.

E it is.
Intern
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Hi,

Could you explain what the denominator being a sqaure of something has to do with terminating decimals?

Thanks
CEO
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girikorat wrote:
If you can see a patern , the denominators of A,B,C and D are a square of a number.

I don't think this is true.

1/256 results in terminating decimal.
The main point I think is when you see a prime factor (except 2 and 5) in the denominator then it will NOT be a terminating decimal.
A - 189 = 3 * 3 * 3 * 7
B - 196 = 2 * 2 * 7 * 7
C - 225 = 3 * 3 * 5 * 5
D - 144 = 2 * 2 * 2 * 2 * 3 * 3
But E - 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2

Also 189 is not a perfect square.
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ps_dahiya wrote:
girikorat wrote:
If you can see a patern , the denominators of A,B,C and D are a square of a number.

I don't think this is true.

1/256 results in terminating decimal.
The main point I think is when you see a prime factor (except 2 and 5) in the denominator then it will NOT be a terminating decimal.
A - 189 = 3 * 3 * 3 * 7
B - 196 = 2 * 2 * 7 * 7
C - 225 = 3 * 3 * 5 * 5
D - 144 = 2 * 2 * 2 * 2 * 3 * 3
But E - 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2

Also 189 is not a perfect square.

Wow, nice tip, Dahiya. Thanks! Does this hold true for all fractions?
CEO
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anandsebastin wrote:
ps_dahiya wrote:
girikorat wrote:
If you can see a patern , the denominators of A,B,C and D are a square of a number.

I don't think this is true.

1/256 results in terminating decimal.
The main point I think is when you see a prime factor (except 2 and 5) in the denominator then it will NOT be a terminating decimal.
A - 189 = 3 * 3 * 3 * 7
B - 196 = 2 * 2 * 7 * 7
C - 225 = 3 * 3 * 5 * 5
D - 144 = 2 * 2 * 2 * 2 * 3 * 3
But E - 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2

Also 189 is not a perfect square.

Wow, nice tip, Dahiya. Thanks! Does this hold true for all fractions?

I think so. But be careful about the denominator too. For example

Though 56 = 2*2*2*7 but 14/56 is terminating because 14/56 can be reduced to 1/4.
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ps_dahiya wrote:
anandsebastin wrote:
ps_dahiya wrote:
girikorat wrote:
If you can see a patern , the denominators of A,B,C and D are a square of a number.

I don't think this is true.

1/256 results in terminating decimal.
The main point I think is when you see a prime factor (except 2 and 5) in the denominator then it will NOT be a terminating decimal.
A - 189 = 3 * 3 * 3 * 7
B - 196 = 2 * 2 * 7 * 7
C - 225 = 3 * 3 * 5 * 5
D - 144 = 2 * 2 * 2 * 2 * 3 * 3
But E - 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2

Also 189 is not a perfect square.

Wow, nice tip, Dahiya. Thanks! Does this hold true for all fractions?

I think so. But be careful about the denominator too. For example

Though 56 = 2*2*2*7 but 14/56 is terminating because 14/56 can be reduced to 1/4.

thanks for the tip! however, i think you mean the numerator...
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Re: PS -Terminating decimal [#permalink]  26 Nov 2007, 17:12
TOUGH GUY wrote:
Which of the following fractions has a decimal equivalent that is a terminating decimal?

A. 189/10

B. 196/15

C. 225/16

D. 144/25

E. 128/39

I get A C and D as answers.

Term decimal has either 2, 5, or 2 and 5 in the denominator.

So....???....
CEO
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girikorat 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

I think this was the original question

If you can see a patern , the denominators of A,B,C and D are a square of a number.

E it is.

Ah thx. This makes sense now

forgot to add this bit on my original post. 2, 5, or 2 and 5 must be in the bottom with NO other numbers!
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Re: PS -Terminating decimal [#permalink]  26 Nov 2007, 17:27
TOUGH GUY wrote:
Which of the following fractions has a decimal equivalent that is a terminating decimal?

A. 189/10

B. 196/15

C. 225/16

D. 144/25

E. 128/39
SVP
Joined: 29 Aug 2007
Posts: 2493
Followers: 59

Kudos [?]: 576 [0], given: 19

girikorat 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

I think this was the original question

If you can see a patern , the denominators of A,B,C and D are a square of a number.

E it is.

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