252/96 as a Decimal and Mixed Number

252/96 as a decimal and mixed number expansion provides the detailed information about what is 252/96 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

252/96 as a Decimal
252/96 = 2.625
Hence,
252/96 as a decimal equals to 2.625
where,
252/96 is a given fraction,
The decimal expansion of 252/96 is 2.625

252/96 as a Mixed Number
252/96 = (192 + 60)/96
= 192/96 + 60/96
= 2 + 60/96
= 2 60/96
252/96 = 2 60/96

Hence,
252/96 as a mixed number is 2 ⁶⁰/₉₆
where,
252/96 is a given fraction,
2 ⁶⁰/₉₆ is the mixed number representation of 252/96.

The below work with steps provide the detailed information about how to convert fraction 252/96 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 252/96

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 252/96.

step 2 The numerator is greater than the denominator of the fraction 252/96, so write the given fraction in the expression form in terms of denominator as like the below:
= 252/96
= 192 + 60/96
= (2 x 96) + 60/96

step 3 Make the above expression as individual fractions:
= (2 x 96)/96 + 60/96

step 4 Simplify the above expression:
= 2 x 96/96 + 60/96
= 2 + 60/96
= 2 + 5 x 12/8 x 12
= 2 + 5/8
2 + 5/8 can be written as a mixed number 2 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (5/8 x 125/125)
= 2 + 625/1000

step 6 Simplify the above expression further:
= 2 + 0.625
= 2.625
252/96 = 2.625

Hence,
252/96 as a decimal is 2.625
252/96 as a mixed number is 2 ⁵/₈