259/31 as a Decimal and Mixed Number

259/31 as a decimal and mixed number expansion provides the detailed information about what is 259/31 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

259/31 as a Decimal
259/31 = 8.3548
Hence,
259/31 as a decimal equals to 8.3548
where,
259/31 is a given fraction,
The decimal expansion of 259/31 is 8.3548

259/31 as a Mixed Number
259/31 = (248 + 11)/31
= 248/31 + 11/31
= 8 + 11/31
= 8 11/31
259/31 = 8 11/31

Hence,
259/31 as a mixed number is 8 ¹¹/₃₁
where,
259/31 is a given fraction,
8 ¹¹/₃₁ is the mixed number representation of 259/31.

The below work with steps provide the detailed information about how to convert fraction 259/31 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 259/31

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 259/31.

step 2 The numerator is greater than the denominator of the fraction 259/31, so write the given fraction in the expression form in terms of denominator as like the below:
= 259/31
= 248 + 11/31
= (8 x 31) + 11/31

step 3 Make the above expression as individual fractions:
= (8 x 31)/31 + 11/31

step 4 Simplify the above expression:
= 8 x 31/31 + 11/31
= 8 + 11/31
8 + 11/31 can be written as a mixed number 8 ¹¹/₃₁.


step 5 Find the decimal equivalent for the fractional part 11/31 in the above expression:
= 8 + 0.3548
= 8.3548
259/31 = 8.3548

Hence,
259/31 as a decimal is 8.3548
259/31 as a mixed number is 8 ¹¹/₃₁