Calculators & Converters

    8/21 as a Decimal

    Fraction to Decimal Calculator

    8/21 as a decimal expansion provides the detailed information about what is 8/21 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    8/21 as a Decimal Expansion
    8/21 = 0.381
    Hence,
    8/21 as a decimal equals to 0.381
    where,
    8/21 is a given fraction,
    The decimal expansion of 8/21 is 0.381

    8/21 as a Mixed Number
    The given fraction 8/21 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 21.

    For values other than 8/21, use this below tool:

    How-to: 8/21 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 8/21 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 8/21

    What to be found:
    Find the decimal expansion of fraction 8/21.


    step 2 The numerator is smaller than the denominator of the fraction 8/21, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 8/21.
    = 8/21 x 100/100


    step 3 Rearrange the fraction as like the below:
    = 100 x 8/21 x 1/100
    = 800/21 x 1/100


    step 4 Simplify the above expression further:
    = 800/21 x 1/100
    = 798 + 2/21 x 1/100
    = ( 798/21 + 2/21) x 1/100
    = (38 + 2/21 ) x 1/100


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 2/21 in the above expression:
    = (38 + 2/21 ) x 1/100
    = (38 + 0.095) x 1/100


    step 6 Simplify the above expression further:
    = (38 + 0.095) x 1/100
    = 38.095 x 1/100
    = 38.095/100
    8/21= 0.38095

    Hence,
    8/21 as a decimal is 0.38095


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