254/26 as a Decimal and Mixed Number

254/26 as a decimal and mixed number expansion provides the detailed information about what is 254/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

254/26 as a Decimal
254/26 = 9.7692
Hence,
254/26 as a decimal equals to 9.7692
where,
254/26 is a given fraction,
The decimal expansion of 254/26 is 9.7692

254/26 as a Mixed Number
254/26 = (234 + 20)/26
= 234/26 + 20/26
= 9 + 20/26
= 9 20/26
254/26 = 9 20/26

Hence,
254/26 as a mixed number is 9 ²⁰/₂₆
where,
254/26 is a given fraction,
9 ²⁰/₂₆ is the mixed number representation of 254/26.

The below work with steps provide the detailed information about how to convert fraction 254/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 254/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 254/26.

step 2 The numerator is greater than the denominator of the fraction 254/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 254/26
= 234 + 20/26
= (9 x 26) + 20/26

step 3 Make the above expression as individual fractions:
= (9 x 26)/26 + 20/26

step 4 Simplify the above expression:
= 9 x 26/26 + 20/26
= 9 + 20/26
= 9 + 10 x 2/13 x 2
= 9 + 10/13
9 + 10/13 can be written as a mixed number 9 ¹⁰/₁₃.


step 5 Find the decimal equivalent for the fractional part 10/13 in the above expression:
= 9 + 0.7692
= 9.7692
254/26 = 9.7692

Hence,
254/26 as a decimal is 9.7692
254/26 as a mixed number is 9 ¹⁰/₁₃