253/29 as a Decimal and Mixed Number

253/29 as a decimal and mixed number expansion provides the detailed information about what is 253/29 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

253/29 as a Decimal
253/29 = 8.7241
Hence,
253/29 as a decimal equals to 8.7241
where,
253/29 is a given fraction,
The decimal expansion of 253/29 is 8.7241

253/29 as a Mixed Number
253/29 = (232 + 21)/29
= 232/29 + 21/29
= 8 + 21/29
= 8 21/29
253/29 = 8 21/29

Hence,
253/29 as a mixed number is 8 ²¹/₂₉
where,
253/29 is a given fraction,
8 ²¹/₂₉ is the mixed number representation of 253/29.

The below work with steps provide the detailed information about how to convert fraction 253/29 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 253/29

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 253/29.

step 2 The numerator is greater than the denominator of the fraction 253/29, so write the given fraction in the expression form in terms of denominator as like the below:
= 253/29
= 232 + 21/29
= (8 x 29) + 21/29

step 3 Make the above expression as individual fractions:
= (8 x 29)/29 + 21/29

step 4 Simplify the above expression:
= 8 x 29/29 + 21/29
= 8 + 21/29
8 + 21/29 can be written as a mixed number 8 ²¹/₂₉.


step 5 Find the decimal equivalent for the fractional part 21/29 in the above expression:
= 8 + 0.7241
= 8.7241
253/29 = 8.7241

Hence,
253/29 as a decimal is 8.7241
253/29 as a mixed number is 8 ²¹/₂₉