359/40 as a Decimal and Mixed Number

359/40 as a decimal and mixed number expansion provides the detailed information about what is 359/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

359/40 as a Decimal
359/40 = 8.975
Hence,
359/40 as a decimal equals to 8.975
where,
359/40 is a given fraction,
The decimal expansion of 359/40 is 8.975

359/40 as a Mixed Number
359/40 = (320 + 39)/40
= 320/40 + 39/40
= 8 + 39/40
= 8 39/40
359/40 = 8 39/40

Hence,
359/40 as a mixed number is 8 ³⁹/₄₀
where,
359/40 is a given fraction,
8 ³⁹/₄₀ is the mixed number representation of 359/40.

The below work with steps provide the detailed information about how to convert fraction 359/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 359/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 359/40.

step 2 The numerator is greater than the denominator of the fraction 359/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 359/40
= 320 + 39/40
= (8 x 40) + 39/40

step 3 Make the above expression as individual fractions:
= (8 x 40)/40 + 39/40

step 4 Simplify the above expression:
= 8 x 40/40 + 39/40
= 8 + 39/40
8 + 39/40 can be written as a mixed number 8 ³⁹/₄₀.


step 5 Find the decimal equivalent for the fractional part 39/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 8 + (39/40 x 25/25)
= 8 + 975/1000

step 6 Simplify the above expression further:
= 8 + 0.975
= 8.975
359/40 = 8.975

Hence,
359/40 as a decimal is 8.975
359/40 as a mixed number is 8 ³⁹/₄₀