255/115 as a Decimal and Mixed Number

255/115 as a decimal and mixed number expansion provides the detailed information about what is 255/115 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/115 as a Decimal
255/115 = 2.2174
Hence,
255/115 as a decimal equals to 2.2174
where,
255/115 is a given fraction,
The decimal expansion of 255/115 is 2.2174

255/115 as a Mixed Number
255/115 = (230 + 25)/115
= 230/115 + 25/115
= 2 + 25/115
= 2 25/115
255/115 = 2 25/115

Hence,
255/115 as a mixed number is 2 ²⁵/₁₁₅
where,
255/115 is a given fraction,
2 ²⁵/₁₁₅ is the mixed number representation of 255/115.

The below work with steps provide the detailed information about how to convert fraction 255/115 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/115

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/115.

step 2 The numerator is greater than the denominator of the fraction 255/115, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/115
= 230 + 25/115
= (2 x 115) + 25/115

step 3 Make the above expression as individual fractions:
= (2 x 115)/115 + 25/115

step 4 Simplify the above expression:
= 2 x 115/115 + 25/115
= 2 + 25/115
= 2 + 5 x 5/23 x 5
= 2 + 5/23
2 + 5/23 can be written as a mixed number 2 ⁵/₂₃.


step 5 Find the decimal equivalent for the fractional part 5/23 in the above expression:
= 2 + 0.2174
= 2.2174
255/115 = 2.2174

Hence,
255/115 as a decimal is 2.2174
255/115 as a mixed number is 2 ⁵/₂₃