267/96 as a Decimal and Mixed Number

267/96 as a decimal and mixed number expansion provides the detailed information about what is 267/96 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

267/96 as a Decimal
267/96 = 2.7813
Hence,
267/96 as a decimal equals to 2.7813
where,
267/96 is a given fraction,
The decimal expansion of 267/96 is 2.7813

267/96 as a Mixed Number
267/96 = (192 + 75)/96
= 192/96 + 75/96
= 2 + 75/96
= 2 75/96
267/96 = 2 75/96

Hence,
267/96 as a mixed number is 2 ⁷⁵/₉₆
where,
267/96 is a given fraction,
2 ⁷⁵/₉₆ is the mixed number representation of 267/96.

The below work with steps provide the detailed information about how to convert fraction 267/96 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/96

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/96.

step 2 The numerator is greater than the denominator of the fraction 267/96, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/96
= 192 + 75/96
= (2 x 96) + 75/96

step 3 Make the above expression as individual fractions:
= (2 x 96)/96 + 75/96

step 4 Simplify the above expression:
= 2 x 96/96 + 75/96
= 2 + 75/96
= 2 + 25 x 3/32 x 3
= 2 + 25/32
2 + 25/32 can be written as a mixed number 2 ²⁵/₃₂.


step 5 Find the decimal equivalent for the fractional part 25/32 in the above expression:
Multiply both numerator and denominator by 3125 to make the denominator as powers of 10:
= 2 + (25/32 x 3125/3125)
= 2 + 78125/100000

step 6 Simplify the above expression further:
= 2 + 0.78125
= 2.78125
267/96 = 2.78125

Hence,
267/96 as a decimal is 2.78125
267/96 as a mixed number is 2 ²⁵/₃₂