255/90 as a Decimal and Mixed Number

255/90 as a decimal and mixed number expansion provides the detailed information about what is 255/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/90 as a Decimal
255/90 = 2.8333
Hence,
255/90 as a decimal equals to 2.8333
where,
255/90 is a given fraction,
The decimal expansion of 255/90 is 2.8333

255/90 as a Mixed Number
255/90 = (180 + 75)/90
= 180/90 + 75/90
= 2 + 75/90
= 2 75/90
255/90 = 2 75/90

Hence,
255/90 as a mixed number is 2 ⁷⁵/₉₀
where,
255/90 is a given fraction,
2 ⁷⁵/₉₀ is the mixed number representation of 255/90.

The below work with steps provide the detailed information about how to convert fraction 255/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/90.

step 2 The numerator is greater than the denominator of the fraction 255/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/90
= 180 + 75/90
= (2 x 90) + 75/90

step 3 Make the above expression as individual fractions:
= (2 x 90)/90 + 75/90

step 4 Simplify the above expression:
= 2 x 90/90 + 75/90
= 2 + 75/90
= 2 + 5 x 15/6 x 15
= 2 + 5/6
2 + 5/6 can be written as a mixed number 2 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 2 + 0.8333
= 2.8333
255/90 = 2.8333

Hence,
255/90 as a decimal is 2.8333
255/90 as a mixed number is 2 ⁵/₆