327/60 as a Decimal and Mixed Number

327/60 as a decimal and mixed number expansion provides the detailed information about what is 327/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/60 as a Decimal
327/60 = 5.45
Hence,
327/60 as a decimal equals to 5.45
where,
327/60 is a given fraction,
The decimal expansion of 327/60 is 5.45

327/60 as a Mixed Number
327/60 = (300 + 27)/60
= 300/60 + 27/60
= 5 + 27/60
= 5 27/60
327/60 = 5 27/60

Hence,
327/60 as a mixed number is 5 ²⁷/₆₀
where,
327/60 is a given fraction,
5 ²⁷/₆₀ is the mixed number representation of 327/60.

The below work with steps provide the detailed information about how to convert fraction 327/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/60.

step 2 The numerator is greater than the denominator of the fraction 327/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/60
= 300 + 27/60
= (5 x 60) + 27/60

step 3 Make the above expression as individual fractions:
= (5 x 60)/60 + 27/60

step 4 Simplify the above expression:
= 5 x 60/60 + 27/60
= 5 + 27/60
= 5 + 9 x 3/20 x 3
= 5 + 9/20
5 + 9/20 can be written as a mixed number 5 ⁹/₂₀.


step 5 Find the decimal equivalent for the fractional part 9/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 5 + (9/20 x 5/5)
= 5 + 45/100

step 6 Simplify the above expression further:
= 5 + 0.45
= 5.45
327/60 = 5.45

Hence,
327/60 as a decimal is 5.45
327/60 as a mixed number is 5 ⁹/₂₀