328/40 as a Decimal and Mixed Number

328/40 as a decimal and mixed number expansion provides the detailed information about what is 328/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

328/40 as a Decimal
328/40 = 8.2
Hence,
328/40 as a decimal equals to 8.2
where,
328/40 is a given fraction,
The decimal expansion of 328/40 is 8.2

328/40 as a Mixed Number
328/40 = (320 + 8)/40
= 320/40 + 8/40
= 8 + 8/40
= 8 8/40
328/40 = 8 8/40

Hence,
328/40 as a mixed number is 8 ⁸/₄₀
where,
328/40 is a given fraction,
8 ⁸/₄₀ is the mixed number representation of 328/40.

The below work with steps provide the detailed information about how to convert fraction 328/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 328/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 328/40.

step 2 The numerator is greater than the denominator of the fraction 328/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 328/40
= 320 + 8/40
= (8 x 40) + 8/40

step 3 Make the above expression as individual fractions:
= (8 x 40)/40 + 8/40

step 4 Simplify the above expression:
= 8 x 40/40 + 8/40
= 8 + 8/40
= 8 + 1 x 8/5 x 8
= 8 + 1/5
8 + 1/5 can be written as a mixed number 8 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 8 + (1/5 x 2/2)
= 8 + 2/10

step 6 Simplify the above expression further:
= 8 + 0.2
= 8.2
328/40 = 8.2

Hence,
328/40 as a decimal is 8.2
328/40 as a mixed number is 8 ¹/₅