76/32 as a Decimal and Mixed Number

76/32 as a decimal and mixed number expansion provides the detailed information about what is 76/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

76/32 as a Decimal
76/32 = 2.375
Hence,
76/32 as a decimal equals to 2.375
where,
76/32 is a given fraction,
The decimal expansion of 76/32 is 2.375

76/32 as a Mixed Number
76/32 = (64 + 12)/32
= 64/32 + 12/32
= 2 + 12/32
= 2 12/32
76/32 = 2 12/32

Hence,
76/32 as a mixed number is 2 ¹²/₃₂
where,
76/32 is a given fraction,
2 ¹²/₃₂ is the mixed number representation of 76/32.

The below work with steps provide the detailed information about how to convert fraction 76/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/32.

step 2 The numerator is greater than the denominator of the fraction 76/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/32
= 64 + 12/32
= (2 x 32) + 12/32

step 3 Make the above expression as individual fractions:
= (2 x 32)/32 + 12/32

step 4 Simplify the above expression:
= 2 x 32/32 + 12/32
= 2 + 12/32
= 2 + 3 x 4/8 x 4
= 2 + 3/8
2 + 3/8 can be written as a mixed number 2 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (3/8 x 125/125)
= 2 + 375/1000

step 6 Simplify the above expression further:
= 2 + 0.375
= 2.375
76/32 = 2.375

Hence,
76/32 as a decimal is 2.375
76/32 as a mixed number is 2 ³/₈