Calculators & Converters

    49/36 as a Decimal and Mixed Number

    Fraction to Decimal Calculator

    49/36 as a decimal and mixed number expansion provides the detailed information about what is 49/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

    49/36 as a Decimal Expansion
    49/36 = 1.3611
    Hence,
    49/36 as a decimal equals to 1.3611
    where,
    49/36 is a given fraction,
    The decimal expansion of 49/36 is 1.3611

    49/36 as a Mixed Number
    49/36 = (36 + 13)/36
    = 36/36 + 13/36
    = 1 + 13/36
    = 1 13/36
    49/36 = 1 13/36

    Hence,
    49/36 as a mixed number is 1 13/36
    where,
    49/36 is a given fraction,
    1 13/36 is the mixed number representation of 49/36.

    For values other than 49/36, use this below tool:

    How-to: 49/36 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 49/36 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 49/36

    What to be found:
    Find the equivalent decimal expansion and mixed number for fraction 49/36.


    step 2 The numerator is greater than the denominator of the fraction 49/36, so write the given fraction in the expression form in terms of denominator as like the below:
    = 49/36
    = 36 + 13/36


    step 3 Make the above expression as individual fractions:
    = 36/36 + 13/36


    step 4 Simplify the above expression:
    = 1 x 36/36 + 13/36
    = 1 + 13/36
    1 + 13/36 can be written as a mixed number 1 13/36.


    step 5 Find the decimal equivalent for the fractional part 13/36 in the above expression:
    Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/36. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/36.
    = 1 + (13/36 x 10/10)


    step 6 Simplify the above expression further:
    = 1 + (130/36 x 1/10)
    = 1 + (108 + 22/36 x 1/10)
    = 1 + [(108/36 + 22/36 ) x 1/10]
    = 1 + [(3 + 22/36) x 1/10]


    step 7 Repeat the step 5 to find the decimal equivalent for the fraction 22/36 in the above expression:
    = 1 + [(3 + 22/36) x 1/10]
    = 1 + [(3 + 0.61) x 1/10]
    = 1 + (3.61 x 1/10)
    = 1 + 3.61/10
    = 1 + 0.361


    step 8 Find the sum of above expression:
    = 1 + 0.361
    = 1.361
    49/36 = 1.361

    Hence,
    49/36 as a decimal is 1.361
    49/36 as a mixed number is 1 13/36


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