326/40 as a Decimal and Mixed Number

326/40 as a decimal and mixed number expansion provides the detailed information about what is 326/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

326/40 as a Decimal
326/40 = 8.15
Hence,
326/40 as a decimal equals to 8.15
where,
326/40 is a given fraction,
The decimal expansion of 326/40 is 8.15

326/40 as a Mixed Number
326/40 = (320 + 6)/40
= 320/40 + 6/40
= 8 + 6/40
= 8 6/40
326/40 = 8 6/40

Hence,
326/40 as a mixed number is 8 ⁶/₄₀
where,
326/40 is a given fraction,
8 ⁶/₄₀ is the mixed number representation of 326/40.

The below work with steps provide the detailed information about how to convert fraction 326/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 326/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 326/40.

step 2 The numerator is greater than the denominator of the fraction 326/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 326/40
= 320 + 6/40
= (8 x 40) + 6/40

step 3 Make the above expression as individual fractions:
= (8 x 40)/40 + 6/40

step 4 Simplify the above expression:
= 8 x 40/40 + 6/40
= 8 + 6/40
= 8 + 3 x 2/20 x 2
= 8 + 3/20
8 + 3/20 can be written as a mixed number 8 ³/₂₀.


step 5 Find the decimal equivalent for the fractional part 3/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 8 + (3/20 x 5/5)
= 8 + 15/100

step 6 Simplify the above expression further:
= 8 + 0.15
= 8.15
326/40 = 8.15

Hence,
326/40 as a decimal is 8.15
326/40 as a mixed number is 8 ³/₂₀