120/32 as a Decimal and Mixed Number

120/32 as a decimal and mixed number expansion provides the detailed information about what is 120/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/32 as a Decimal
120/32 = 3.75
Hence,
120/32 as a decimal equals to 3.75
where,
120/32 is a given fraction,
The decimal expansion of 120/32 is 3.75

120/32 as a Mixed Number
120/32 = (96 + 24)/32
= 96/32 + 24/32
= 3 + 24/32
= 3 24/32
120/32 = 3 24/32

Hence,
120/32 as a mixed number is 3 ²⁴/₃₂
where,
120/32 is a given fraction,
3 ²⁴/₃₂ is the mixed number representation of 120/32.

The below work with steps provide the detailed information about how to convert fraction 120/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/32.

step 2 The numerator is greater than the denominator of the fraction 120/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/32
= 96 + 24/32
= (3 x 32) + 24/32

step 3 Make the above expression as individual fractions:
= (3 x 32)/32 + 24/32

step 4 Simplify the above expression:
= 3 x 32/32 + 24/32
= 3 + 24/32
= 3 + 3 x 8/4 x 8
= 3 + 3/4
3 + 3/4 can be written as a mixed number 3 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:
= 3 + (3/4 x 25/25)
= 3 + 75/100

step 6 Simplify the above expression further:
= 3 + 0.75
= 3.75
120/32 = 3.75

Hence,
120/32 as a decimal is 3.75
120/32 as a mixed number is 3 ³/₄