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Nov 012011

Converting between decimals and fractions


Thanks to John Ford for this quiz.

You need to be able to convert fractions to decimals and decimals to fractions.

To convert a fraction to a decimal divide the numerator (top number) by the denominator (bottom number).

eg 3/4

3รท4 = 0.75

To change a decimal to a fraction think what place value the number on the right hand side has.

eg 0.45

The 5 is in the hundredths column, so the denominator will be 100.

The numerator is 45

So 0.45 = 45/100

This cancels down as both numbers divide by 5.

45/100 = 9/20