315/110 as a Decimal and Mixed Number

315/110 as a decimal and mixed number expansion provides the detailed information about what is 315/110 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/110 as a Decimal
315/110 = 2.8636
Hence,
315/110 as a decimal equals to 2.8636
where,
315/110 is a given fraction,
The decimal expansion of 315/110 is 2.8636

315/110 as a Mixed Number
315/110 = (220 + 95)/110
= 220/110 + 95/110
= 2 + 95/110
= 2 95/110
315/110 = 2 95/110

Hence,
315/110 as a mixed number is 2 ⁹⁵/₁₁₀
where,
315/110 is a given fraction,
2 ⁹⁵/₁₁₀ is the mixed number representation of 315/110.

The below work with steps provide the detailed information about how to convert fraction 315/110 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/110

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/110.

step 2 The numerator is greater than the denominator of the fraction 315/110, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/110
= 220 + 95/110
= (2 x 110) + 95/110

step 3 Make the above expression as individual fractions:
= (2 x 110)/110 + 95/110

step 4 Simplify the above expression:
= 2 x 110/110 + 95/110
= 2 + 95/110
= 2 + 19 x 5/22 x 5
= 2 + 19/22
2 + 19/22 can be written as a mixed number 2 ¹⁹/₂₂.


step 5 Find the decimal equivalent for the fractional part 19/22 in the above expression:
= 2 + 0.8636
= 2.8636
315/110 = 2.8636

Hence,
315/110 as a decimal is 2.8636
315/110 as a mixed number is 2 ¹⁹/₂₂