Calculators & Converters

    48/49 as a Decimal

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    48/49 as a decimal expansion provides the detailed information about what is 48/49 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    48/49 as a Decimal Expansion
    48/49 = 0.9796
    Hence,
    48/49 as a decimal equals to 0.9796
    where,
    48/49 is a given fraction,
    The decimal expansion of 48/49 is 0.9796

    48/49 as a Mixed Number
    The given fraction 48/49 can't be represented as a mixed number since the numerator 48 of the given fraction is smaller than the denominator 49.

    For values other than 48/49, use this below tool:

    How-to: 48/49 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 48/49 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 48/49

    What to be found:
    Find the decimal expansion of fraction 48/49.


    step 2 The numerator is smaller than the denominator of the fraction 48/49, 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 48/49.
    = 48/49 x 10/10


    step 3 Rearrange the fraction as like the below:
    = 10 x 48/49 x 1/10
    = 480/49 x 1/10


    step 4 Simplify the above expression further:
    = 480/49 x 1/10
    = 441 + 39/49 x 1/10
    = ( 441/49 + 39/49) x 1/10
    = (9 + 39/49 ) x 1/10


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 39/49 in the above expression:
    = (9 + 39/49 ) x 1/10
    = (9 + 0.796) x 1/10


    step 6 Simplify the above expression further:
    = (9 + 0.796) x 1/10
    = 9.796 x 1/10
    = 9.796/10
    48/49= 0.9796

    Hence,
    48/49 as a decimal is 0.9796


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