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A3. Fractions : exact fractions.

An exact fraction is a rational number, especially one written as a quotient of two integers. Here are some examples:
3/4, 2/3, 100/101, 63/1000

The exact fraction 1/7 can be written in the form of a recurring decimal:
1/7=0.142857142857... which has a period of 6.
Similarly 1/6=0.1666... which has a period of 1.

The fraction 1/4 can be written as a terminating decimal: 1/4=0.25

All fractions can be written in one of two ways: either as recurring decimals or as terminating decimals.
All fractions whose denominators only have prime factors of 2 and 5 can be written as terminating decimals. All other fractions can be written as recurring decimals only:

prime factors of 2 or 5 other fractions
1/2=0.5
1/4=0.25
1/5=0.2
1/8=0.125
1/10=0.1
1/3=0.333...
1/6=0.1666...
1/7=0.142857142857...
1/9=0.111...
1/11=0.090909...
Convert the fraction to a terminating decimal and check your answer. Press the button to get started.
/
as a terminating decimal:

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