Home / Equivalent Fractions

Same value, different numbers

Equivalent fractions, step by step.

Enter a fraction and see a set of equivalent fractions, with the method behind them.

Enter a fraction

Or type a whole/mixed value in any box. Steps update as you type.

The steps

Result

    See it

    Equivalent fractions have the same value but different numbers. You make them by multiplying (or dividing) the top and bottom by the same number.

    FractionSteps lists several equivalents and shows the rule.

    Worked examples

    1/2
    = 2/4 = 3/6
    2/3
    = 4/6 = 6/9
    3/4
    = 6/8 = 9/12
    1/5
    = 2/10

    Frequently asked

    What are equivalent fractions?

    Fractions that represent the same value, such as 1/2 and 2/4. You get them by multiplying or dividing the numerator and denominator by the same non-zero number.

    How do I check if two fractions are equivalent?

    Cross-multiply: if the cross products are equal, the fractions are equivalent. The Compare tool also shows this.

    Is there an infinite number of equivalents?

    Yes. You can keep multiplying top and bottom by larger numbers to get endless equivalent fractions.