40/32 as a Decimal and Mixed Number

40/32 as a decimal and mixed number expansion provides the detailed information about what is 40/32 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

40/32 as a Decimal
40/32 = 1.25
Hence,
40/32 as a decimal equals to 1.25
where,
40/32 is a given fraction,
The decimal expansion of 40/32 is 1.25

40/32 as a Mixed Number
40/32 = (32 + 8)/32
= 32/32 + 8/32
= 1 + 8/32
= 1 8/32
40/32 = 1 8/32

Hence,
40/32 as a mixed number is 1 ⁸/₃₂
where,
40/32 is a given fraction,
1 ⁸/₃₂ is the mixed number representation of 40/32.

The below work with steps provide the detailed information about how to convert fraction 40/32 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/32

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 40/32.

step 2 The numerator is greater than the denominator of the fraction 40/32, so write the given fraction in the expression form in terms of denominator as like the below:
= 40/32
= 32 + 8/32

step 3 Make the above expression as individual fractions:
= 32/32 + 8/32

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


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (1/4 x 25/25)
= 1 + 25/100

step 6 Simplify the above expression further:
= 1 + 0.25
= 1.25
40/32 = 1.25

Hence,
40/32 as a decimal is 1.25
40/32 as a mixed number is 1 ¹/₄