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Converting fractions and decimals

bettermarks »Math book» Numbers »Decimal numbers and decimal fractions» Basics of decimal numbers »Converting fractions and decimal numbers

In these explanations you will learn how to convert a fraction to a decimal number and a decimal number to a fraction.

Converting fractions with the denominators 10, 100, 1000, ... into decimal numbers

Fractions with a power of ten (10, 100, 1000, ...) in the denominator can be easily converted into a decimal number.

Convert fractions to decimal numbers by expanding the denominator to 10, 100, 1000, ...

Fractions that have, for example, 2, 4, 5, 8, 20, 25, 125 or a multiple of 10 in the denominator can be expanded or reduced to a power of ten (10, 100, 1000, ...) in the denominator. Then you convert it to a decimal number.
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Converting decimals to fractions

You can easily convert all decimal numbers with a small number of decimal places into fractions. To do this, you have to convert them, depending on the number of their decimals, into fractions with powers of ten (10, 100, 1000, ...) in the denominator. Sometimes you can then shorten these fractions.

Frequently used fractions in decimal notation

For some fractions, you should know the decimal notation by heart: