275/31 as a Decimal and Mixed Number

275/31 as a decimal and mixed number expansion provides the detailed information about what is 275/31 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/31 as a Decimal
275/31 = 8.871
Hence,
275/31 as a decimal equals to 8.871
where,
275/31 is a given fraction,
The decimal expansion of 275/31 is 8.871

275/31 as a Mixed Number
275/31 = (248 + 27)/31
= 248/31 + 27/31
= 8 + 27/31
= 8 27/31
275/31 = 8 27/31

Hence,
275/31 as a mixed number is 8 ²⁷/₃₁
where,
275/31 is a given fraction,
8 ²⁷/₃₁ is the mixed number representation of 275/31.

The below work with steps provide the detailed information about how to convert fraction 275/31 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/31

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/31.

step 2 The numerator is greater than the denominator of the fraction 275/31, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/31
= 248 + 27/31
= (8 x 31) + 27/31

step 3 Make the above expression as individual fractions:
= (8 x 31)/31 + 27/31

step 4 Simplify the above expression:
= 8 x 31/31 + 27/31
= 8 + 27/31
8 + 27/31 can be written as a mixed number 8 ²⁷/₃₁.


step 5 Find the decimal equivalent for the fractional part 27/31 in the above expression:
= 8 + 0.871
= 8.871
275/31 = 8.871

Hence,
275/31 as a decimal is 8.871
275/31 as a mixed number is 8 ²⁷/₃₁