267/108 as a Decimal and Mixed Number

267/108 as a decimal and mixed number expansion provides the detailed information about what is 267/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/108 as a Decimal
267/108 = 2.4722
Hence,
267/108 as a decimal equals to 2.4722
where,
267/108 is a given fraction,
The decimal expansion of 267/108 is 2.4722

267/108 as a Mixed Number
267/108 = (216 + 51)/108
= 216/108 + 51/108
= 2 + 51/108
= 2 51/108
267/108 = 2 51/108

Hence,
267/108 as a mixed number is 2 ⁵¹/₁₀₈
where,
267/108 is a given fraction,
2 ⁵¹/₁₀₈ is the mixed number representation of 267/108.

The below work with steps provide the detailed information about how to convert fraction 267/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/108.

step 2 The numerator is greater than the denominator of the fraction 267/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/108
= 216 + 51/108
= (2 x 108) + 51/108

step 3 Make the above expression as individual fractions:
= (2 x 108)/108 + 51/108

step 4 Simplify the above expression:
= 2 x 108/108 + 51/108
= 2 + 51/108
= 2 + 17 x 3/36 x 3
= 2 + 17/36
2 + 17/36 can be written as a mixed number 2 ¹⁷/₃₆.


step 5 Find the decimal equivalent for the fractional part 17/36 in the above expression:
= 2 + 0.4722
= 2.4722
267/108 = 2.4722

Hence,
267/108 as a decimal is 2.4722
267/108 as a mixed number is 2 ¹⁷/₃₆