Calculators & Converters

    21/31 as a Decimal

    Fraction to Decimal Calculator

    21/31 as a decimal expansion provides the detailed information about what is 21/31 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    21/31 as a Decimal Expansion
    21/31 = 0.6774
    Hence,
    21/31 as a decimal equals to 0.6774
    where,
    21/31 is a given fraction,
    The decimal expansion of 21/31 is 0.6774

    21/31 as a Mixed Number
    The given fraction 21/31 can't be represented as a mixed number since the numerator 21 of the given fraction is smaller than the denominator 31.

    For values other than 21/31, use this below tool:

    How-to: 21/31 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 21/31 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 21/31

    What to be found:
    Find the decimal expansion of fraction 21/31.


    step 2 The numerator is smaller than the denominator of the fraction 21/31, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 21/31.
    = 21/31 x 10/10


    step 3 Rearrange the fraction as like the below:
    = 10 x 21/31 x 1/10
    = 210/31 x 1/10


    step 4 Simplify the above expression further:
    = 210/31 x 1/10
    = 186 + 24/31 x 1/10
    = ( 186/31 + 24/31) x 1/10
    = (6 + 24/31 ) x 1/10


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 24/31 in the above expression:
    = (6 + 24/31 ) x 1/10
    = (6 + 0.774) x 1/10


    step 6 Simplify the above expression further:
    = (6 + 0.774) x 1/10
    = 6.774 x 1/10
    = 6.774/10
    21/31= 0.6774

    Hence,
    21/31 as a decimal is 0.6774


    getcalc.com Calculators