264/96 as a Decimal and Mixed Number

264/96 as a decimal and mixed number expansion provides the detailed information about what is 264/96 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

264/96 as a Decimal
264/96 = 2.75
Hence,
264/96 as a decimal equals to 2.75
where,
264/96 is a given fraction,
The decimal expansion of 264/96 is 2.75

264/96 as a Mixed Number
264/96 = (192 + 72)/96
= 192/96 + 72/96
= 2 + 72/96
= 2 72/96
264/96 = 2 72/96

Hence,
264/96 as a mixed number is 2 ⁷²/₉₆
where,
264/96 is a given fraction,
2 ⁷²/₉₆ is the mixed number representation of 264/96.

The below work with steps provide the detailed information about how to convert fraction 264/96 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 264/96

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 264/96.

step 2 The numerator is greater than the denominator of the fraction 264/96, so write the given fraction in the expression form in terms of denominator as like the below:
= 264/96
= 192 + 72/96
= (2 x 96) + 72/96

step 3 Make the above expression as individual fractions:
= (2 x 96)/96 + 72/96

step 4 Simplify the above expression:
= 2 x 96/96 + 72/96
= 2 + 72/96
= 2 + 3 x 24/4 x 24
= 2 + 3/4
2 + 3/4 can be written as a mixed number 2 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (3/4 x 25/25)
= 2 + 75/100

step 6 Simplify the above expression further:
= 2 + 0.75
= 2.75
264/96 = 2.75

Hence,
264/96 as a decimal is 2.75
264/96 as a mixed number is 2 ³/₄