Calculators & Converters

    10/9 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    10/9 as a decimal and mixed number expansion provides the detailed information about what is 10/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    10/9 as a Decimal Expansion
    10/9 = 1.1111
    Hence,
    10/9 as a decimal equals to 1.1111
    where,
    10/9 is a given fraction,
    The decimal expansion of 10/9 is 1.1111

    10/9 as a Mixed Number
    10/9 = (9 + 1)/9
    = 9/9 + 1/9
    = 1 + 1/9
    = 1 1/9
    10/9 = 1 1/9

    Hence,
    10/9 as a mixed number is 1 1/9
    where,
    10/9 is a given fraction,
    1 1/9 is the mixed number representation of 10/9.

    For values other than 10/9, use this below tool:

    How-to: 10/9 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 10/9 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 10/9

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 10/9.


    step 2 The numerator is greater than the denominator of the fraction 10/9, so write the given fraction in the expression form in terms of denominator as like the below:
    = 10/9
    = 9 + 1/9


    step 3 Make the above expression as individual fractions:
    = 9/9 + 1/9


    step 4 Simplify the above expression:
    = 1 + 1/9
    1 + 1/9 can be written as a mixed number 1 1/9


    step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/9.
    = 1 + (1/9 x 10/10)


    step 6 Simplify the above expression further:
    = 1 + (10/9 x 1/10)
    = 1 + (9 + 1/9 x 1/10)
    = 1 + [(9/9 + 1/9 ) x 1/10]
    = 1 + [(1 + 1/9) x 1/10]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/9 in the above expression:
    = 1 + [(1 + 1/9) x 1/10]
    = 1 + [(1 + 0.11) x 1/10]
    = 1 + (1.11 x 1/10)
    = 1 + 1.11/10
    = 1 + 0.111


    step 8 Find the sum of above expression:
    = 1 + 0.111
    = 1.111
    10/9 = 1.111

    Hence,
    10/9 as a decimal is 1.111
    10/9 as a mixed number is 1 1/9


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