249/31 as a Decimal and Mixed Number

249/31 as a decimal and mixed number expansion provides the detailed information about what is 249/31 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

249/31 as a Decimal
249/31 = 8.0323
Hence,
249/31 as a decimal equals to 8.0323
where,
249/31 is a given fraction,
The decimal expansion of 249/31 is 8.0323

249/31 as a Mixed Number
249/31 = (248 + 1)/31
= 248/31 + 1/31
= 8 + 1/31
= 8 1/31
249/31 = 8 1/31

Hence,
249/31 as a mixed number is 8 ¹/₃₁
where,
249/31 is a given fraction,
8 ¹/₃₁ is the mixed number representation of 249/31.

The below work with steps provide the detailed information about how to convert fraction 249/31 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 249/31

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 249/31.

step 2 The numerator is greater than the denominator of the fraction 249/31, so write the given fraction in the expression form in terms of denominator as like the below:
= 249/31
= 248 + 1/31
= (8 x 31) + 1/31

step 3 Make the above expression as individual fractions:
= (8 x 31)/31 + 1/31

step 4 Simplify the above expression:
= 8 x 31/31 + 1/31
= 8 + 1/31
8 + 1/31 can be written as a mixed number 8 ¹/₃₁.


step 5 Find the decimal equivalent for the fractional part 1/31 in the above expression:
= 8 + 0.0323
= 8.0323
249/31 = 8.0323

Hence,
249/31 as a decimal is 8.0323
249/31 as a mixed number is 8 ¹/₃₁