271/8 as a Decimal and Mixed Number

271/8 as a decimal and mixed number expansion provides the detailed information about what is 271/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

271/8 as a Decimal
271/8 = 33.875
Hence,
271/8 as a decimal equals to 33.875
where,
271/8 is a given fraction,
The decimal expansion of 271/8 is 33.875

271/8 as a Mixed Number
271/8 = (264 + 7)/8
= 264/8 + 7/8
= 33 + 7/8
= 33 7/8
271/8 = 33 7/8

Hence,
271/8 as a mixed number is 33 ⁷/₈
where,
271/8 is a given fraction,
33 ⁷/₈ is the mixed number representation of 271/8.

The below work with steps provide the detailed information about how to convert fraction 271/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 271/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 271/8.

step 2 The numerator is greater than the denominator of the fraction 271/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 271/8
= 264 + 7/8
= (33 x 8) + 7/8

step 3 Make the above expression as individual fractions:
= (33 x 8)/8 + 7/8

step 4 Simplify the above expression:
= 33 x 8/8 + 7/8
= 33 + 7/8
33 + 7/8 can be written as a mixed number 33 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 33 + (7/8 x 125/125)
= 33 + 875/1000

step 6 Simplify the above expression further:
= 33 + 0.875
= 33.875
271/8 = 33.875

Hence,
271/8 as a decimal is 33.875
271/8 as a mixed number is 33 ⁷/₈