327/15 as a Decimal and Mixed Number
327/15 as a decimal and mixed number expansion provides the detailed information about what is 327/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
327/15 as a Decimal
327/15 = 21.8
Hence,
327/15 as a decimal equals to 21.8
where,
327/15 is a given fraction,
The decimal expansion of 327/15 is 21.8
327/15 as a Mixed Number
327/15 = (315 + 12)/15
= 315/15 + 12/15
= 21 + 12/15
= 21 12/15
327/15 = 21 12/15
Hence,
327/15 as a mixed number is 21 12/15
where,
327/15 is a given fraction,
21 12/15 is the mixed number representation of 327/15.
How-to: 327/15 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 327/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/15.
step 2 The numerator is greater than the denominator of the fraction 327/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/15
= 315 + 12/15
= (21 x 15) + 12/15
step 3 Make the above expression as individual fractions:
= (21 x 15)/15 + 12/15
step 4 Simplify the above expression:
= 21 x 15/15 + 12/15
= 21 + 12/15
= 21 + 4 x 3/5 x 3
= 21 + 4/5
21 + 4/5 can be written as a mixed number 21 4/5.
step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 21 + (4/5 x 2/2)
= 21 + 8/10
step 6 Simplify the above expression further:
= 21 + 0.8
= 21.8
327/15 = 21.8
Hence,
327/15 as a decimal is 21.8
327/15 as a mixed number is 21 4/5