327/240 as a Decimal and Mixed Number

327/240 as a decimal and mixed number expansion provides the detailed information about what is 327/240 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/240 as a Decimal
327/240 = 1.3625
Hence,
327/240 as a decimal equals to 1.3625
where,
327/240 is a given fraction,
The decimal expansion of 327/240 is 1.3625

327/240 as a Mixed Number
327/240 = (240 + 87)/240
= 240/240 + 87/240
= 1 + 87/240
= 1 87/240
327/240 = 1 87/240

Hence,
327/240 as a mixed number is 1 ⁸⁷/₂₄₀
where,
327/240 is a given fraction,
1 ⁸⁷/₂₄₀ is the mixed number representation of 327/240.

The below work with steps provide the detailed information about how to convert fraction 327/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/240

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/240.

step 2 The numerator is greater than the denominator of the fraction 327/240, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/240
= 240 + 87/240

step 3 Make the above expression as individual fractions:
= 240/240 + 87/240

step 4 Simplify the above expression:
= 1 x 240/240 + 87/240
= 1 + 87/240
= 1 + 29 x 3/80 x 3
= 1 + 29/80
1 + 29/80 can be written as a mixed number 1 ²⁹/₈₀.


step 5 Find the decimal equivalent for the fractional part 29/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (29/80 x 125/125)
= 1 + 3625/10000

step 6 Simplify the above expression further:
= 1 + 0.3625
= 1.3625
327/240 = 1.3625

Hence,
327/240 as a decimal is 1.3625
327/240 as a mixed number is 1 ²⁹/₈₀