13/11 as a Decimal and Mixed Number

The below work with steps provide the detailed information about how to convert fraction 13/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 13/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 13/11.

step 2 The numerator is greater than the denominator of the fraction 13/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 13/11
= 11 + 2/11

step 3 Make the above expression as individual fractions:
= 11/11 + 2/11

step 4 Simplify the above expression:
= 1 x 11/11 + 2/11
= 1 + 2/11
1 + 2/11 can be written as a mixed number 1 ²/₁₁.


step 5 Find the decimal equivalent for the fractional part 2/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 2/11.
= 1 + (2/11 x 100/100)

step 6 Simplify the above expression further:
= 1 + (200/11 x 1/100)
= 1 + (198 + 2/11 x 1/100)
= 1 + [(198/11 + 2/11 ) x 1/100]
= 1 + [(18 + 2/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/11 in the above expression:
= 1 + [(18 + 2/11) x 1/100]
= 1 + [(18 + 0.18) x 1/100]
= 1 + (18.18 x 1/100)
= 1 + 18.18/100
= 1 + 0.1818

step 8 Find the sum of above expression:
= 1 + 0.1818
= 1.1818
13/11 = 1.1818

Hence,
13/11 as a decimal is 1.1818
13/11 as a mixed number is 1 ²/₁₁