Calculators & Converters

    55/56 as a Decimal

    Fraction to Decimal Calculator

    55/56 as a decimal expansion provides the detailed information about what is 55/56 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    55/56 as a Decimal Expansion
    55/56 = 0.9821
    Hence,
    55/56 as a decimal equals to 0.9821
    where,
    55/56 is a given fraction,
    The decimal expansion of 55/56 is 0.9821

    55/56 as a Mixed Number
    The given fraction 55/56 can't be represented as a mixed number since the numerator 55 of the given fraction is smaller than the denominator 56.

    For values other than 55/56, use this below tool:

    How-to: 55/56 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 55/56 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 55/56

    What to be found:
    Find the decimal expansion of fraction 55/56.


    step 2 The numerator is smaller than the denominator of the fraction 55/56, 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 55/56.
    = 55/56 x 10/10


    step 3 Rearrange the fraction as like the below:
    = 10 x 55/56 x 1/10
    = 550/56 x 1/10


    step 4 Simplify the above expression further:
    = 550/56 x 1/10
    = 504 + 46/56 x 1/10
    = ( 504/56 + 46/56) x 1/10
    = (9 + 46/56 ) x 1/10


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 46/56 in the above expression:
    = (9 + 46/56 ) x 1/10
    = (9 + 0.821) x 1/10


    step 6 Simplify the above expression further:
    = (9 + 0.821) x 1/10
    = 9.821 x 1/10
    = 9.821/10
    55/56= 0.9821

    Hence,
    55/56 as a decimal is 0.9821


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