Calculators & Converters

    4/15 as a Decimal

    Fraction to Decimal Calculator

    4/15 as a decimal expansion provides the detailed information about what is 4/15 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    4/15 as a Decimal Expansion
    4/15 = 0.2667
    Hence,
    4/15 as a decimal equals to 0.2667
    where,
    4/15 is a given fraction,
    The decimal expansion of 4/15 is 0.2667

    4/15 as a Mixed Number
    The given fraction 4/15 can't be represented as a mixed number since the numerator 4 of the given fraction is smaller than the denominator 15.

    For values other than 4/15, use this below tool:

    How-to: 4/15 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 4/15 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 4/15

    What to be found:
    Find the decimal expansion of fraction 4/15.


    step 2 The numerator is smaller than the denominator of the fraction 4/15, 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 4/15.
    = 4/15 x 100/100


    step 3 Rearrange the fraction as like the below:
    = 100 x 4/15 x 1/100
    = 400/15 x 1/100


    step 4 Simplify the above expression further:
    = 400/15 x 1/100
    = 390 + 10/15 x 1/100
    = ( 390/15 + 10/15) x 1/100
    = (26 + 10/15 ) x 1/100


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 10/15 in the above expression:
    = (26 + 10/15 ) x 1/100
    = (26 + 0.667) x 1/100


    step 6 Simplify the above expression further:
    = (26 + 0.667) x 1/100
    = 26.667 x 1/100
    = 26.667/100
    4/15= 0.26667

    Hence,
    4/15 as a decimal is 0.26667


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