253/88 as a Decimal and Mixed Number

253/88 as a decimal and mixed number expansion provides the detailed information about what is 253/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

253/88 as a Decimal
253/88 = 2.875
Hence,
253/88 as a decimal equals to 2.875
where,
253/88 is a given fraction,
The decimal expansion of 253/88 is 2.875

253/88 as a Mixed Number
253/88 = (176 + 77)/88
= 176/88 + 77/88
= 2 + 77/88
= 2 77/88
253/88 = 2 77/88

Hence,
253/88 as a mixed number is 2 ⁷⁷/₈₈
where,
253/88 is a given fraction,
2 ⁷⁷/₈₈ is the mixed number representation of 253/88.

The below work with steps provide the detailed information about how to convert fraction 253/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 253/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 253/88.

step 2 The numerator is greater than the denominator of the fraction 253/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 253/88
= 176 + 77/88
= (2 x 88) + 77/88

step 3 Make the above expression as individual fractions:
= (2 x 88)/88 + 77/88

step 4 Simplify the above expression:
= 2 x 88/88 + 77/88
= 2 + 77/88
= 2 + 7 x 11/8 x 11
= 2 + 7/8
2 + 7/8 can be written as a mixed number 2 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (7/8 x 125/125)
= 2 + 875/1000

step 6 Simplify the above expression further:
= 2 + 0.875
= 2.875
253/88 = 2.875

Hence,
253/88 as a decimal is 2.875
253/88 as a mixed number is 2 ⁷/₈