325/8 as a Decimal and Mixed Number

325/8 as a decimal and mixed number expansion provides the detailed information about what is 325/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

325/8 as a Decimal
325/8 = 40.625
Hence,
325/8 as a decimal equals to 40.625
where,
325/8 is a given fraction,
The decimal expansion of 325/8 is 40.625

325/8 as a Mixed Number
325/8 = (320 + 5)/8
= 320/8 + 5/8
= 40 + 5/8
= 40 5/8
325/8 = 40 5/8

Hence,
325/8 as a mixed number is 40 ⁵/₈
where,
325/8 is a given fraction,
40 ⁵/₈ is the mixed number representation of 325/8.

The below work with steps provide the detailed information about how to convert fraction 325/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 325/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 325/8.

step 2 The numerator is greater than the denominator of the fraction 325/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 325/8
= 320 + 5/8
= (40 x 8) + 5/8

step 3 Make the above expression as individual fractions:
= (40 x 8)/8 + 5/8

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


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 40 + (5/8 x 125/125)
= 40 + 625/1000

step 6 Simplify the above expression further:
= 40 + 0.625
= 40.625
325/8 = 40.625

Hence,
325/8 as a decimal is 40.625
325/8 as a mixed number is 40 ⁵/₈