88/32 as a decimal and mixed number expansion provides the detailed information about what is 88/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
88/32 as a Decimal
88/32 = 2.75
Hence,
88/32 as a decimal equals to 2.75
where,
88/32 is a given fraction,
The decimal expansion of 88/32 is 2.75
88/32 as a Mixed Number
88/32 = (64 + 24)/32
= 64/32 + 24/32
= 2 + 24/32
= 2 24/32
88/32 = 2 24/32
Hence,
88/32 as a mixed number is 2 24/32
where,
88/32 is a given fraction,
2 24/32 is the mixed number representation of 88/32.
The below work with steps provide the detailed information about how to convert fraction 88/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 88/32
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 88/32.
step 2 The numerator is greater than the denominator of the fraction 88/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 88/32
= 64 + 24/32
= (2 x 32) + 24/32
step 3 Make the above expression as individual fractions:
= (2 x 32)/32 + 24/32
step 4 Simplify the above expression:
= 2 x 32/32 + 24/32
= 2 + 24/32
= 2 + 3 x 8/4 x 8
= 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
88/32 = 2.75
Hence,
88/32 as a decimal is 2.75
88/32 as a mixed number is 2 3/4