Converting a decimal to a fraction

Although computers generally represent numbers as decimals, itis often convenient to express values as fractions. If we desire toconvert a decimal to a fraction, we need to follow a two-stepprocess:

Starting with the number itself, multiply by ten repeatedlyuntil no values remain after the decimal point. This is thenumerator. Keep the multiplier as the denominator.

Simplify the fraction.

For instance, for 0.75:

1) Multiply by ten repeatedly:

0.75×10×10=75

Thus the numerator is 75 and the denominatoris 10×10=100

2)Simplify the fraction:

Find the factors of the numerator and thedenominator.

75?{1,3,5,25,75}

100?{1,2,4,5,10,20,25,50,100}

Find the greatest common factor of eachand divide both by it.

75÷25=3

100÷ 25 =4

0.75?3/4

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