253/8 as a Decimal and Mixed Number

253/8 as a decimal and mixed number expansion provides the detailed information about what is 253/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

253/8 as a Decimal
253/8 = 31.625
Hence,
253/8 as a decimal equals to 31.625
where,
253/8 is a given fraction,
The decimal expansion of 253/8 is 31.625

253/8 as a Mixed Number
253/8 = (248 + 5)/8
= 248/8 + 5/8
= 31 + 5/8
= 31 5/8
253/8 = 31 5/8

Hence,
253/8 as a mixed number is 31 ⁵/₈
where,
253/8 is a given fraction,
31 ⁵/₈ is the mixed number representation of 253/8.

The below work with steps provide the detailed information about how to convert fraction 253/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 253/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 253/8.

step 2 The numerator is greater than the denominator of the fraction 253/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 253/8
= 248 + 5/8
= (31 x 8) + 5/8

step 3 Make the above expression as individual fractions:
= (31 x 8)/8 + 5/8

step 4 Simplify the above expression:
= 31 x 8/8 + 5/8
= 31 + 5/8
31 + 5/8 can be written as a mixed number 31 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 31 + (5/8 x 125/125)
= 31 + 625/1000

step 6 Simplify the above expression further:
= 31 + 0.625
= 31.625
253/8 = 31.625

Hence,
253/8 as a decimal is 31.625
253/8 as a mixed number is 31 ⁵/₈