102/32 as a Decimal and Mixed Number

102/32 as a decimal and mixed number expansion provides the detailed information about what is 102/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/32 as a Decimal
102/32 = 3.1875
Hence,
102/32 as a decimal equals to 3.1875
where,
102/32 is a given fraction,
The decimal expansion of 102/32 is 3.1875

102/32 as a Mixed Number
102/32 = (96 + 6)/32
= 96/32 + 6/32
= 3 + 6/32
= 3 6/32
102/32 = 3 6/32

Hence,
102/32 as a mixed number is 3 ⁶/₃₂
where,
102/32 is a given fraction,
3 ⁶/₃₂ is the mixed number representation of 102/32.

The below work with steps provide the detailed information about how to convert fraction 102/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/32.

step 2 The numerator is greater than the denominator of the fraction 102/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/32
= 96 + 6/32
= (3 x 32) + 6/32

step 3 Make the above expression as individual fractions:
= (3 x 32)/32 + 6/32

step 4 Simplify the above expression:
= 3 x 32/32 + 6/32
= 3 + 6/32
= 3 + 3 x 2/16 x 2
= 3 + 3/16
3 + 3/16 can be written as a mixed number 3 ³/₁₆.


step 5 Find the decimal equivalent for the fractional part 3/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 3 + (3/16 x 625/625)
= 3 + 1875/10000

step 6 Simplify the above expression further:
= 3 + 0.1875
= 3.1875
102/32 = 3.1875

Hence,
102/32 as a decimal is 3.1875
102/32 as a mixed number is 3 ³/₁₆