# 13/8 as a Decimal and Mixed Number

13/8 as a decimal and mixed number expansion provides the detailed information about what is 13/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.**13/8 as a Decimal Expansion**

13/8 = 1.625

Hence,

13/8 as a decimal equals to **1.625**

__where,__

13/8 is a given fraction,

The decimal expansion of 13/8 is 1.625

**13/8 as a Mixed Number**

13/8 = (8 + 5)/8

= 8/8 + 5/8

= 1 + 5/8

= 1 5/8

13/8 = 1 5/8

Hence,

13/8 as a mixed number is **1 ^{5}/_{8}**

__where,__

13/8 is a given fraction,

1

^{5}/

_{8}is the mixed number representation of 13/8.

## How-to: 13/8 as a Decimal

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}