MathsDecimalsDecimal FractionsConverting Decimal Fractions to Fractions

Converting Decimal Fractions to Fractions

Table of Contents

  • Converting Decimal Fractions to Fractions
  • Summary
  • What’s Next?

In the previous segment, we learnt how to compare decimal fractions. In this segment, we will learn how decimal fractions can be converted to fractions.

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    How to Convert decimal fractions to fractions?

    To write a fraction, two things are needed: the numerator and the denominator.

    For any given decimal fraction, the numerator is the decimal number without the decimal. And the denominator is 1 followed by as many zeros as there are decimal places in the given number.

    For example,

    Convert 0.037 as a fraction.

    In this case, the numerator will be 37.

    And since the given number has 3 decimal places, the denominator will be 1 followed by 3 zeros, that is 1000.

    So, 0.037 = 37

    1000

    Convert 0.2850 as a fraction.

    The numerator without the decimal part is 2850.

    And since there are 4 decimal places, the denominator is 10000.

    So, 0.2850 = 2850

    10000

    0 at the end of a decimal fraction does not change its value.

    This means, 0.2850 is the same as 0.285. Thus, the fraction can be written as 285

    1000

    2850

    10000

    and 285

    1000

    are equivalent fractions.

    1. Convert 4.343 as a fraction.
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