Calculators & Converters

    42/53 as a Decimal

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    42/53 as a decimal expansion provides the detailed information about what is 42/53 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    42/53 as a Decimal Expansion
    42/53 = 0.7925
    Hence,
    42/53 as a decimal equals to 0.7925
    where,
    42/53 is a given fraction,
    The decimal expansion of 42/53 is 0.7925

    42/53 as a Mixed Number
    The given fraction 42/53 can't be represented as a mixed number since the numerator 42 of the given fraction is smaller than the denominator 53.

    For values other than 42/53, use this below tool:

    How-to: 42/53 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 42/53 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 42/53

    What to be found:
    Find the decimal expansion of fraction 42/53.


    step 2 The numerator is smaller than the denominator of the fraction 42/53, 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 42/53.
    = 42/53 x 10/10


    step 3 Rearrange the fraction as like the below:
    = 10 x 42/53 x 1/10
    = 420/53 x 1/10


    step 4 Simplify the above expression further:
    = 420/53 x 1/10
    = 371 + 49/53 x 1/10
    = ( 371/53 + 49/53) x 1/10
    = (7 + 49/53 ) x 1/10


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 49/53 in the above expression:
    = (7 + 49/53 ) x 1/10
    = (7 + 0.925) x 1/10


    step 6 Simplify the above expression further:
    = (7 + 0.925) x 1/10
    = 7.925 x 1/10
    = 7.925/10
    42/53= 0.7925

    Hence,
    42/53 as a decimal is 0.7925


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