100/32 as a Decimal and Mixed Number

100/32 as a decimal and mixed number expansion provides the detailed information about what is 100/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

100/32 as a Decimal
100/32 = 3.125
Hence,
100/32 as a decimal equals to 3.125
where,
100/32 is a given fraction,
The decimal expansion of 100/32 is 3.125

100/32 as a Mixed Number
100/32 = (96 + 4)/32
= 96/32 + 4/32
= 3 + 4/32
= 3 4/32
100/32 = 3 4/32

Hence,
100/32 as a mixed number is 3 ⁴/₃₂
where,
100/32 is a given fraction,
3 ⁴/₃₂ is the mixed number representation of 100/32.

The below work with steps provide the detailed information about how to convert fraction 100/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 100/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 100/32.

step 2 The numerator is greater than the denominator of the fraction 100/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 100/32
= 96 + 4/32
= (3 x 32) + 4/32

step 3 Make the above expression as individual fractions:
= (3 x 32)/32 + 4/32

step 4 Simplify the above expression:
= 3 x 32/32 + 4/32
= 3 + 4/32
= 3 + 1 x 4/8 x 4
= 3 + 1/8
3 + 1/8 can be written as a mixed number 3 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (1/8 x 125/125)
= 3 + 125/1000

step 6 Simplify the above expression further:
= 3 + 0.125
= 3.125
100/32 = 3.125

Hence,
100/32 as a decimal is 3.125
100/32 as a mixed number is 3 ¹/₈