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How to solve this type of Q( SET 5 Q 15)

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by [email protected] » Fri Sep 14, 2007 8:06 am
Q15:
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

How to solve thesetype q without calculating manually.
Any tricks?
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by [email protected] » Fri Sep 14, 2007 8:32 am
That works :)
Thanks,
saurabh
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by camitava » Sat Sep 15, 2007 12:12 am
Sorry friends! I am not even clear with the question as well as the approach described by answer. Can you pls explain this more clearly so that it will be easy for me to understand. Looking for ur explanation.
Correct me If I am wrong


Regards,

Amitava
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by [email protected] » Sat Sep 15, 2007 4:26 am
Amitava, the question is- which fraction will give a terminating decimal.
For example- 1/2 = .5 which is terminating
1/3 =.333333 which is not terminating.
I believe now will understand the approach as well.
Let us know
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by camitava » Sat Sep 15, 2007 4:44 am
Yop! Thanks Saurab. Got it. But now going back to ur question, my next question is - Will you sit to find which denominator is coming in the form of 2^m5^n? To me, it appears quite time taking.
Correct me If I am wrong


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Amitava
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by [email protected] » Sat Sep 15, 2007 5:47 am
No amitava.
you just need to factorise the denominator.
I dont think its time taking.
For ex- if denominator is 224 its in theform 2(5 times) * 7.
So you know which form it belongs to
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