255/116 as a Decimal and Mixed Number

255/116 as a decimal and mixed number expansion provides the detailed information about what is 255/116 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/116 as a Decimal
255/116 = 2.1983
Hence,
255/116 as a decimal equals to 2.1983
where,
255/116 is a given fraction,
The decimal expansion of 255/116 is 2.1983

255/116 as a Mixed Number
255/116 = (232 + 23)/116
= 232/116 + 23/116
= 2 + 23/116
= 2 23/116
255/116 = 2 23/116

Hence,
255/116 as a mixed number is 2 ²³/₁₁₆
where,
255/116 is a given fraction,
2 ²³/₁₁₆ is the mixed number representation of 255/116.

The below work with steps provide the detailed information about how to convert fraction 255/116 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/116

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/116.

step 2 The numerator is greater than the denominator of the fraction 255/116, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/116
= 232 + 23/116
= (2 x 116) + 23/116

step 3 Make the above expression as individual fractions:
= (2 x 116)/116 + 23/116

step 4 Simplify the above expression:
= 2 x 116/116 + 23/116
= 2 + 23/116
2 + 23/116 can be written as a mixed number 2 ²³/₁₁₆.


step 5 Find the decimal equivalent for the fractional part 23/116 in the above expression:
= 2 + 0.1983
= 2.1983
255/116 = 2.1983

Hence,
255/116 as a decimal is 2.1983
255/116 as a mixed number is 2 ²³/₁₁₆