255/26 as a Decimal and Mixed Number

255/26 as a decimal and mixed number expansion provides the detailed information about what is 255/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/26 as a Decimal
255/26 = 9.8077
Hence,
255/26 as a decimal equals to 9.8077
where,
255/26 is a given fraction,
The decimal expansion of 255/26 is 9.8077

255/26 as a Mixed Number
255/26 = (234 + 21)/26
= 234/26 + 21/26
= 9 + 21/26
= 9 21/26
255/26 = 9 21/26

Hence,
255/26 as a mixed number is 9 ²¹/₂₆
where,
255/26 is a given fraction,
9 ²¹/₂₆ is the mixed number representation of 255/26.

The below work with steps provide the detailed information about how to convert fraction 255/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/26.

step 2 The numerator is greater than the denominator of the fraction 255/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/26
= 234 + 21/26
= (9 x 26) + 21/26

step 3 Make the above expression as individual fractions:
= (9 x 26)/26 + 21/26

step 4 Simplify the above expression:
= 9 x 26/26 + 21/26
= 9 + 21/26
9 + 21/26 can be written as a mixed number 9 ²¹/₂₆.


step 5 Find the decimal equivalent for the fractional part 21/26 in the above expression:
= 9 + 0.8077
= 9.8077
255/26 = 9.8077

Hence,
255/26 as a decimal is 9.8077
255/26 as a mixed number is 9 ²¹/₂₆