Calculators & Converters

    1/11 as a Decimal

    Fraction to Decimal Calculator

    1/11 as a decimal expansion provides the detailed information about what is 1/11 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    1/11 as a Decimal Expansion
    1/11 = 0.0909
    Hence,
    1/11 as a decimal equals to 0.0909
    where,
    1/11 is a given fraction,
    The decimal expansion of 1/11 is 0.0909

    1/11 as a Mixed Number
    The given fraction 1/11 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 11.

    For values other than 1/11, use this below tool:

    How-to: 1/11 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 1/11 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 1/11

    What to be found:
    Find the decimal expansion of fraction 1/11.


    step 2 The numerator is smaller than the denominator of the fraction 1/11, 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 1/11.
    = 1/11 x 100/100


    step 3 Rearrange the fraction as like the below:
    = 100/11 x 1/100


    step 4 Simplify the above expression further:
    = 100/11 x 1/100
    = 99 + 1/11 x 1/100
    = ( 99/11 + 1/11) x 1/100
    = (9 + 1/11 ) x 1/100


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/11 in the above expression:
    = (9 + 1/11 ) x 1/100
    = (9 + 0.091) x 1/100


    step 6 Simplify the above expression further:
    = (9 + 0.091) x 1/100
    = 9.091 x 1/100
    = 9.091/100
    1/11= 0.09091

    Hence,
    1/11 as a decimal is 0.09091


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