Calculators & Converters

    7/6 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    7/6 as a decimal and mixed number expansion provides the detailed information about what is 7/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    7/6 as a Decimal Expansion
    7/6 = 1.1667
    Hence,
    7/6 as a decimal equals to 1.1667
    where,
    7/6 is a given fraction,
    The decimal expansion of 7/6 is 1.1667

    7/6 as a Mixed Number
    7/6 = (6 + 1)/6
    = 6/6 + 1/6
    = 1 + 1/6
    = 1 1/6
    7/6 = 1 1/6

    Hence,
    7/6 as a mixed number is 1 1/6
    where,
    7/6 is a given fraction,
    1 1/6 is the mixed number representation of 7/6.

    For values other than 7/6, use this below tool:

    How-to: 7/6 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 7/6 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 7/6

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 7/6.


    step 2 The numerator is greater than the denominator of the fraction 7/6, so write the given fraction in the expression form in terms of denominator as like the below:
    = 7/6
    = 6 + 1/6


    step 3 Make the above expression as individual fractions:
    = 6/6 + 1/6


    step 4 Simplify the above expression:
    = 1 + 1/6
    1 + 1/6 can be written as a mixed number 1 1/6


    step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/6. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/6.
    = 1 + (1/6 x 10/10)


    step 6 Simplify the above expression further:
    = 1 + (10/6 x 1/10)
    = 1 + (6 + 4/6 x 1/10)
    = 1 + [(6/6 + 4/6 ) x 1/10]
    = 1 + [(1 + 4/6) x 1/10]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/6 in the above expression:
    = 1 + [(1 + 4/6) x 1/10]
    = 1 + [(1 + 0.67) x 1/10]
    = 1 + (1.67 x 1/10)
    = 1 + 1.67/10
    = 1 + 0.167


    step 8 Find the sum of above expression:
    = 1 + 0.167
    = 1.167
    7/6 = 1.167

    Hence,
    7/6 as a decimal is 1.167
    7/6 as a mixed number is 1 1/6


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