decimal to fraction
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decimal to fraction
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Decimal to fraction
The process of decimal to fraction conversion involves the use of
the fundamental rule of fractions; the fraction should be written
in its lowest terms. The following examples demonstrate how to
convert decimals to fractions.
Example 1:
Convert 0.65 to a fraction.
Solution:
Step 1:
Note the number of place positions to the right of the decimal
point. In this example, 0.65 is 65 hundredths, which is two places
to the right of the decimal point.
65

100
Step 2:
Although we have now converted the decimal into a fraction, the
fraction is not in its lowest terms. To reduce the new fraction
into its lowest or simplest terms, both the numerator and the
denominator must be broken down into primes.
65 5x13 5x13 5x13
 >  >  > 
100 5x20 5x4x5 5x2x2x5
Note that we can cancel one set of 5s,
5
because  = 1
5
This gives
65 13
 = 
100 20
and this is the simplest form of this fraction.
