11/8 as a Decimal and Mixed Number

The below work with steps provide the detailed information about how to convert fraction 11/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 11/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 11/8.

step 2 The numerator is greater than the denominator of the fraction 11/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 11/8
= 8 + 3/8

step 3 Make the above expression as individual fractions:
= 8/8 + 3/8

step 4 Simplify the above expression:
= 1 x 8/8 + 3/8
= 1 + 3/8
1 + 3/8 can be written as a mixed number 1 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/8. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 3/8.
= 1 + (3/8 x 10/10)

step 6 Simplify the above expression further:
= 1 + (30/8 x 1/10)
= 1 + (24 + 6/8 x 1/10)
= 1 + [(24/8 + 6/8 ) x 1/10]
= 1 + [(3 + 6/8) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/8 in the above expression:
= 1 + [(3 + 6/8) x 1/10]
= 1 + [(3 + 0.75) x 1/10]
= 1 + (3.75 x 1/10)
= 1 + 3.75/10
= 1 + 0.375

step 8 Find the sum of above expression:
= 1 + 0.375
= 1.375
11/8 = 1.375

Hence,
11/8 as a decimal is 1.375
11/8 as a mixed number is 1 ³/₈