315/108 as a Decimal and Mixed Number

315/108 as a decimal and mixed number expansion provides the detailed information about what is 315/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/108 as a Decimal
315/108 = 2.9167
Hence,
315/108 as a decimal equals to 2.9167
where,
315/108 is a given fraction,
The decimal expansion of 315/108 is 2.9167

315/108 as a Mixed Number
315/108 = (216 + 99)/108
= 216/108 + 99/108
= 2 + 99/108
= 2 99/108
315/108 = 2 99/108

Hence,
315/108 as a mixed number is 2 ⁹⁹/₁₀₈
where,
315/108 is a given fraction,
2 ⁹⁹/₁₀₈ is the mixed number representation of 315/108.

The below work with steps provide the detailed information about how to convert fraction 315/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/108.

step 2 The numerator is greater than the denominator of the fraction 315/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/108
= 216 + 99/108
= (2 x 108) + 99/108

step 3 Make the above expression as individual fractions:
= (2 x 108)/108 + 99/108

step 4 Simplify the above expression:
= 2 x 108/108 + 99/108
= 2 + 99/108
= 2 + 11 x 9/12 x 9
= 2 + 11/12
2 + 11/12 can be written as a mixed number 2 ¹¹/₁₂.


step 5 Find the decimal equivalent for the fractional part 11/12 in the above expression:
= 2 + 0.9167
= 2.9167
315/108 = 2.9167

Hence,
315/108 as a decimal is 2.9167
315/108 as a mixed number is 2 ¹¹/₁₂