267/26 as a Decimal and Mixed Number

267/26 as a decimal and mixed number expansion provides the detailed information about what is 267/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/26 as a Decimal
267/26 = 10.2692
Hence,
267/26 as a decimal equals to 10.2692
where,
267/26 is a given fraction,
The decimal expansion of 267/26 is 10.2692

267/26 as a Mixed Number
267/26 = (260 + 7)/26
= 260/26 + 7/26
= 10 + 7/26
= 10 7/26
267/26 = 10 7/26

Hence,
267/26 as a mixed number is 10 ⁷/₂₆
where,
267/26 is a given fraction,
10 ⁷/₂₆ is the mixed number representation of 267/26.

The below work with steps provide the detailed information about how to convert fraction 267/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/26.

step 2 The numerator is greater than the denominator of the fraction 267/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/26
= 260 + 7/26
= (10 x 26) + 7/26

step 3 Make the above expression as individual fractions:
= (10 x 26)/26 + 7/26

step 4 Simplify the above expression:
= 10 x 26/26 + 7/26
= 10 + 7/26
10 + 7/26 can be written as a mixed number 10 ⁷/₂₆.


step 5 Find the decimal equivalent for the fractional part 7/26 in the above expression:
= 10 + 0.2692
= 10.2692
267/26 = 10.2692

Hence,
267/26 as a decimal is 10.2692
267/26 as a mixed number is 10 ⁷/₂₆