327/21 as a decimal and mixed number expansion provides the detailed information about what is 327/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
327/21 as a Decimal
327/21 = 15.5714
Hence,
327/21 as a decimal equals to 15.5714
where,
327/21 is a given fraction,
The decimal expansion of 327/21 is 15.5714
327/21 as a Mixed Number
327/21 = (315 + 12)/21
= 315/21 + 12/21
= 15 + 12/21
= 15 12/21
327/21 = 15 12/21
Hence,
327/21 as a mixed number is 15 12/21
where,
327/21 is a given fraction,
15 12/21 is the mixed number representation of 327/21.
The below work with steps provide the detailed information about how to convert fraction 327/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/21
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/21.
step 2 The numerator is greater than the denominator of the fraction 327/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/21
= 315 + 12/21
= (15 x 21) + 12/21
step 3 Make the above expression as individual fractions:
= (15 x 21)/21 + 12/21
step 4 Simplify the above expression:
= 15 x 21/21 + 12/21
= 15 + 12/21
= 15 + 4 x 3/7 x 3
= 15 + 4/7
15 + 4/7 can be written as a mixed number 15 4/7.
step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
= 15 + 0.5714
= 15.5714
327/21 = 15.5714
Hence,
327/21 as a decimal is 15.5714
327/21 as a mixed number is 15 4/7