Calculators & Converters

    17/15 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    17/15 as a decimal and mixed number expansion provides the detailed information about what is 17/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    17/15 as a Decimal Expansion
    17/15 = 1.1333
    Hence,
    17/15 as a decimal equals to 1.1333
    where,
    17/15 is a given fraction,
    The decimal expansion of 17/15 is 1.1333

    17/15 as a Mixed Number
    17/15 = (15 + 2)/15
    = 15/15 + 2/15
    = 1 + 2/15
    = 1 2/15
    17/15 = 1 2/15

    Hence,
    17/15 as a mixed number is 1 2/15
    where,
    17/15 is a given fraction,
    1 2/15 is the mixed number representation of 17/15.

    For values other than 17/15, use this below tool:

    How-to: 17/15 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 17/15 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 17/15

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 17/15.


    step 2 The numerator is greater than the denominator of the fraction 17/15, so write the given fraction in the expression form in terms of denominator as like the below:
    = 17/15
    = 15 + 2/15


    step 3 Make the above expression as individual fractions:
    = 15/15 + 2/15


    step 4 Simplify the above expression:
    = 1 x 15/15 + 2/15
    = 1 + 2/15
    1 + 2/15 can be written as a mixed number 1 2/15.


    step 5 Find the decimal equivalent for the fractional part 2/15 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/15. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 2/15.
    = 1 + (2/15 x 100/100)


    step 6 Simplify the above expression further:
    = 1 + (200/15 x 1/100)
    = 1 + (195 + 5/15 x 1/100)
    = 1 + [(195/15 + 5/15 ) x 1/100]
    = 1 + [(13 + 5/15) x 1/100]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/15 in the above expression:
    = 1 + [(13 + 5/15) x 1/100]
    = 1 + [(13 + 0.33) x 1/100]
    = 1 + (13.33 x 1/100)
    = 1 + 13.33/100
    = 1 + 0.1333


    step 8 Find the sum of above expression:
    = 1 + 0.1333
    = 1.1333
    17/15 = 1.1333

    Hence,
    17/15 as a decimal is 1.1333
    17/15 as a mixed number is 1 2/15


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