217/8 as a Decimal and Mixed Number

217/8 as a decimal and mixed number expansion provides the detailed information about what is 217/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

217/8 as a Decimal
217/8 = 27.125
Hence,
217/8 as a decimal equals to 27.125
where,
217/8 is a given fraction,
The decimal expansion of 217/8 is 27.125

217/8 as a Mixed Number
217/8 = (216 + 1)/8
= 216/8 + 1/8
= 27 + 1/8
= 27 1/8
217/8 = 27 1/8

Hence,
217/8 as a mixed number is 27 ¹/₈
where,
217/8 is a given fraction,
27 ¹/₈ is the mixed number representation of 217/8.

The below work with steps provide the detailed information about how to convert fraction 217/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 217/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 217/8.

step 2 The numerator is greater than the denominator of the fraction 217/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 217/8
= 216 + 1/8
= (27 x 8) + 1/8

step 3 Make the above expression as individual fractions:
= (27 x 8)/8 + 1/8

step 4 Simplify the above expression:
= 27 x 8/8 + 1/8
= 27 + 1/8
27 + 1/8 can be written as a mixed number 27 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 27 + (1/8 x 125/125)
= 27 + 125/1000

step 6 Simplify the above expression further:
= 27 + 0.125
= 27.125
217/8 = 27.125

Hence,
217/8 as a decimal is 27.125
217/8 as a mixed number is 27 ¹/₈