Calculators & Converters

    8/7 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    8/7 as a decimal and mixed number expansion provides the detailed information about what is 8/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    8/7 as a Decimal Expansion
    8/7 = 1.1429
    Hence,
    8/7 as a decimal equals to 1.1429
    where,
    8/7 is a given fraction,
    The decimal expansion of 8/7 is 1.1429

    8/7 as a Mixed Number
    8/7 = (7 + 1)/7
    = 7/7 + 1/7
    = 1 + 1/7
    = 1 1/7
    8/7 = 1 1/7

    Hence,
    8/7 as a mixed number is 1 1/7
    where,
    8/7 is a given fraction,
    1 1/7 is the mixed number representation of 8/7.

    For values other than 8/7, use this below tool:

    How-to: 8/7 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 8/7 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 8/7

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 8/7.


    step 2 The numerator is greater than the denominator of the fraction 8/7, so write the given fraction in the expression form in terms of denominator as like the below:
    = 8/7
    = 7 + 1/7


    step 3 Make the above expression as individual fractions:
    = 7/7 + 1/7


    step 4 Simplify the above expression:
    = 1 + 1/7
    1 + 1/7 can be written as a mixed number 1 1/7


    step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/7. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/7.
    = 1 + (1/7 x 10/10)


    step 6 Simplify the above expression further:
    = 1 + (10/7 x 1/10)
    = 1 + (7 + 3/7 x 1/10)
    = 1 + [(7/7 + 3/7 ) x 1/10]
    = 1 + [(1 + 3/7) x 1/10]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 3/7 in the above expression:
    = 1 + [(1 + 3/7) x 1/10]
    = 1 + [(1 + 0.43) x 1/10]
    = 1 + (1.43 x 1/10)
    = 1 + 1.43/10
    = 1 + 0.143


    step 8 Find the sum of above expression:
    = 1 + 0.143
    = 1.143
    8/7 = 1.143

    Hence,
    8/7 as a decimal is 1.143
    8/7 as a mixed number is 1 1/7


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