255/88 as a Decimal and Mixed Number

255/88 as a decimal and mixed number expansion provides the detailed information about what is 255/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/88 as a Decimal
255/88 = 2.8977
Hence,
255/88 as a decimal equals to 2.8977
where,
255/88 is a given fraction,
The decimal expansion of 255/88 is 2.8977

255/88 as a Mixed Number
255/88 = (176 + 79)/88
= 176/88 + 79/88
= 2 + 79/88
= 2 79/88
255/88 = 2 79/88

Hence,
255/88 as a mixed number is 2 ⁷⁹/₈₈
where,
255/88 is a given fraction,
2 ⁷⁹/₈₈ is the mixed number representation of 255/88.

The below work with steps provide the detailed information about how to convert fraction 255/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/88.

step 2 The numerator is greater than the denominator of the fraction 255/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/88
= 176 + 79/88
= (2 x 88) + 79/88

step 3 Make the above expression as individual fractions:
= (2 x 88)/88 + 79/88

step 4 Simplify the above expression:
= 2 x 88/88 + 79/88
= 2 + 79/88
2 + 79/88 can be written as a mixed number 2 ⁷⁹/₈₈.


step 5 Find the decimal equivalent for the fractional part 79/88 in the above expression:
= 2 + 0.8977
= 2.8977
255/88 = 2.8977

Hence,
255/88 as a decimal is 2.8977
255/88 as a mixed number is 2 ⁷⁹/₈₈