Calculators & Converters

    8/47 as a Decimal

    Fraction to Decimal Calculator

    8/47 as a decimal expansion provides the detailed information about what is 8/47 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    8/47 as a Decimal Expansion
    8/47 = 0.1702
    Hence,
    8/47 as a decimal equals to 0.1702
    where,
    8/47 is a given fraction,
    The decimal expansion of 8/47 is 0.1702

    8/47 as a Mixed Number
    The given fraction 8/47 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 47.

    For values other than 8/47, use this below tool:

    How-to: 8/47 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 8/47 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 8/47

    What to be found:
    Find the decimal expansion of fraction 8/47.


    step 2 The numerator is smaller than the denominator of the fraction 8/47, 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 8/47.
    = 8/47 x 100/100


    step 3 Rearrange the fraction as like the below:
    = 100 x 8/47 x 1/100
    = 800/47 x 1/100


    step 4 Simplify the above expression further:
    = 800/47 x 1/100
    = 799 + 1/47 x 1/100
    = ( 799/47 + 1/47) x 1/100
    = (17 + 1/47 ) x 1/100


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/47 in the above expression:
    = (17 + 1/47 ) x 1/100
    = (17 + 0.021) x 1/100


    step 6 Simplify the above expression further:
    = (17 + 0.021) x 1/100
    = 17.021 x 1/100
    = 17.021/100
    8/47= 0.17021

    Hence,
    8/47 as a decimal is 0.17021


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