13/8 as a Decimal and Mixed Number

The below work with steps provide the detailed information about how to convert fraction 13/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 13/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 13/8.

step 2 The numerator is greater than the denominator of the fraction 13/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 13/8
= 8 + 5/8

step 3 Make the above expression as individual fractions:
= 8/8 + 5/8

step 4 Simplify the above expression:
= 1 x 8/8 + 5/8
= 1 + 5/8
1 + 5/8 can be written as a mixed number 1 ⁵/₈.


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

step 6 Simplify the above expression further:
= 1 + (50/8 x 1/10)
= 1 + (48 + 2/8 x 1/10)
= 1 + [(48/8 + 2/8 ) x 1/10]
= 1 + [(6 + 2/8) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/8 in the above expression:
= 1 + [(6 + 2/8) x 1/10]
= 1 + [(6 + 0.25) x 1/10]
= 1 + (6.25 x 1/10)
= 1 + 6.25/10
= 1 + 0.625

step 8 Find the sum of above expression:
= 1 + 0.625
= 1.625
13/8 = 1.625

Hence,
13/8 as a decimal is 1.625
13/8 as a mixed number is 1 ⁵/₈