327/315 as a Decimal and Mixed Number

327/315 as a decimal and mixed number expansion provides the detailed information about what is 327/315 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

327/315 as a Decimal
327/315 = 1.0381
Hence,
327/315 as a decimal equals to 1.0381
where,
327/315 is a given fraction,
The decimal expansion of 327/315 is 1.0381

327/315 as a Mixed Number
327/315 = (315 + 12)/315
= 315/315 + 12/315
= 1 + 12/315
= 1 12/315
327/315 = 1 12/315

Hence,
327/315 as a mixed number is 1 ¹²/₃₁₅
where,
327/315 is a given fraction,
1 ¹²/₃₁₅ is the mixed number representation of 327/315.

The below work with steps provide the detailed information about how to convert fraction 327/315 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 327/315

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 327/315.

step 2 The numerator is greater than the denominator of the fraction 327/315, so write the given fraction in the expression form in terms of denominator as like the below:
= 327/315
= 315 + 12/315

step 3 Make the above expression as individual fractions:
= 315/315 + 12/315

step 4 Simplify the above expression:
= 1 x 315/315 + 12/315
= 1 + 12/315
= 1 + 4 x 3/105 x 3
= 1 + 4/105
1 + 4/105 can be written as a mixed number 1 ⁴/₁₀₅.


step 5 Find the decimal equivalent for the fractional part 4/105 in the above expression:
= 1 + 0.0381
= 1.0381
327/315 = 1.0381

Hence,
327/315 as a decimal is 1.0381
327/315 as a mixed number is 1 ⁴/₁₀₅