315/27 as a Decimal and Mixed Number

315/27 as a decimal and mixed number expansion provides the detailed information about what is 315/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/27 as a Decimal
315/27 = 11.6667
Hence,
315/27 as a decimal equals to 11.6667
where,
315/27 is a given fraction,
The decimal expansion of 315/27 is 11.6667

315/27 as a Mixed Number
315/27 = (297 + 18)/27
= 297/27 + 18/27
= 11 + 18/27
= 11 18/27
315/27 = 11 18/27

Hence,
315/27 as a mixed number is 11 ¹⁸/₂₇
where,
315/27 is a given fraction,
11 ¹⁸/₂₇ is the mixed number representation of 315/27.

The below work with steps provide the detailed information about how to convert fraction 315/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/27.

step 2 The numerator is greater than the denominator of the fraction 315/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/27
= 297 + 18/27
= (11 x 27) + 18/27

step 3 Make the above expression as individual fractions:
= (11 x 27)/27 + 18/27

step 4 Simplify the above expression:
= 11 x 27/27 + 18/27
= 11 + 18/27
= 11 + 2 x 9/3 x 9
= 11 + 2/3
11 + 2/3 can be written as a mixed number 11 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 11 + 0.6667
= 11.6667
315/27 = 11.6667

Hence,
315/27 as a decimal is 11.6667
315/27 as a mixed number is 11 ²/₃