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Simplify fractions , Mathematica

Posted on 2013-01-10
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Last Modified: 2013-01-10
Hello,

How can Simplify fraction  in Mathematica

for example this large number

31563960367552936108301021855171511091869192865677121/
157819801837764680385589599609375000000000000000000000

Open in new window

is
 0.2

Open in new window



but when i try in Mathematica

31563960367552936108301021855171511091869192865677121 / 
157819801837764680385589599609375000000000000000000000

Open in new window


i don't get 0.2 it shows just the same numbers :(


Thank you
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Question by:kensy11
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4 Comments
 
LVL 32

Expert Comment

by:phoffric
ID: 38765503
I plugged your numbers in and got about 0.2:Decimal approximation showing 0.2 is the right answerThey show you the exact result as a fraction since to get an exact decimal representation would take too many places to show (or it may be a repeating decimal).
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LVL 32

Expert Comment

by:phoffric
ID: 38765519
Your OP that says that the answer is 0.2 cannot be true since 0.2 is 1/5.
If you multiply the numerator by 5, then you should get exactly the denominator if the answer is 0.2. But that cannot be since 5*(...7121) ends in a 5. For 0.2 to be the answer, you would expect that the multiplication would end in many 0's.
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Author Comment

by:kensy11
ID: 38765624
phoffric   How did you do it ?? did you use Mathematica program or on the web ?


im using Mathematica 8.0

And as it been shown in your image i get the second step , (the same numbers ) i don't know how to get the decimal approximation as in your image
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LVL 32

Accepted Solution

by:
phoffric earned 2000 total points
ID: 38765691
On the web:
http://www.wolframalpha.com/input/?i=31563960367552936108301021855171511091869192865677121+%2F+157819801837764680385589599609375000000000000000000000

This link Exact and Approximate Results shows how to get the results you want. This is for version 9, but I would not expect major changes in this area.
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