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To convert decimals to fractions.
place the decimals over '1. 0000'. The number of 'zeroes' is the same as the number of decimal places above.
Hence
0.3175/1.0000
Cancel down the decimal point
03175/10000
The 'zero' in theh numerator is trivial and can be discounted. Hence
3175/10000
Since both number end in '5' and/or '0' they will cancel down by '5'.
Hence
635/2000
Repeat by '5' again.
127/400
This will not cancel down any further.
NB
For decimals recurring to infinity there is a different technique.
For irrational decimals , such as 'pi' , cannot be converted to a fraction.
lenpollock
Wiki User
∙ 12y ago0.3175 = 3175/10,000 = 127/400
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