# 49/36 as a Decimal and Mixed Number 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 