Calculators & Converters

    16/17 as a Decimal

    Fraction to Decimal Calculator

    16/17 as a decimal expansion provides the detailed information about what is 16/17 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    16/17 as a Decimal Expansion
    16/17 = 0.9412
    Hence,
    16/17 as a decimal equals to 0.9412
    where,
    16/17 is a given fraction,
    The decimal expansion of 16/17 is 0.9412

    16/17 as a Mixed Number
    The given fraction 16/17 can't be represented as a mixed number since the numerator 16 of the given fraction is smaller than the denominator 17.

    For values other than 16/17, use this below tool:

    How-to: 16/17 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 16/17 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 16/17

    What to be found:
    Find the decimal expansion of fraction 16/17.


    step 2 The numerator is smaller than the denominator of the fraction 16/17, 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 16/17.
    = 16/17 x 10/10


    step 3 Rearrange the fraction as like the below:
    = 10 x 16/17 x 1/10
    = 160/17 x 1/10


    step 4 Simplify the above expression further:
    = 160/17 x 1/10
    = 153 + 7/17 x 1/10
    = ( 153/17 + 7/17) x 1/10
    = (9 + 7/17 ) x 1/10


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 7/17 in the above expression:
    = (9 + 7/17 ) x 1/10
    = (9 + 0.412) x 1/10


    step 6 Simplify the above expression further:
    = (9 + 0.412) x 1/10
    = 9.412 x 1/10
    = 9.412/10
    16/17= 0.9412

    Hence,
    16/17 as a decimal is 0.9412


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