75/32 as a Decimal and Mixed Number

75/32 as a decimal and mixed number expansion provides the detailed information about what is 75/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/32 as a Decimal
75/32 = 2.3438
Hence,
75/32 as a decimal equals to 2.3438
where,
75/32 is a given fraction,
The decimal expansion of 75/32 is 2.3438

75/32 as a Mixed Number
75/32 = (64 + 11)/32
= 64/32 + 11/32
= 2 + 11/32
= 2 11/32
75/32 = 2 11/32

Hence,
75/32 as a mixed number is 2 ¹¹/₃₂
where,
75/32 is a given fraction,
2 ¹¹/₃₂ is the mixed number representation of 75/32.

The below work with steps provide the detailed information about how to convert fraction 75/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/32.

step 2 The numerator is greater than the denominator of the fraction 75/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/32
= 64 + 11/32
= (2 x 32) + 11/32

step 3 Make the above expression as individual fractions:
= (2 x 32)/32 + 11/32

step 4 Simplify the above expression:
= 2 x 32/32 + 11/32
= 2 + 11/32
2 + 11/32 can be written as a mixed number 2 ¹¹/₃₂.


step 5 Find the decimal equivalent for the fractional part 11/32 in the above expression:
Multiply both numerator and denominator by 3125 to make the denominator as powers of 10:
= 2 + (11/32 x 3125/3125)
= 2 + 34375/100000

step 6 Simplify the above expression further:
= 2 + 0.34375
= 2.34375
75/32 = 2.34375

Hence,
75/32 as a decimal is 2.34375
75/32 as a mixed number is 2 ¹¹/₃₂