221/26 as a Decimal and Mixed Number

221/26 as a decimal and mixed number expansion provides the detailed information about what is 221/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

221/26 as a Decimal
221/26 = 8.5
Hence,
221/26 as a decimal equals to 8.5
where,
221/26 is a given fraction,
The decimal expansion of 221/26 is 8.5

221/26 as a Mixed Number
221/26 = (208 + 13)/26
= 208/26 + 13/26
= 8 + 13/26
= 8 13/26
221/26 = 8 13/26

Hence,
221/26 as a mixed number is 8 ¹³/₂₆
where,
221/26 is a given fraction,
8 ¹³/₂₆ is the mixed number representation of 221/26.

The below work with steps provide the detailed information about how to convert fraction 221/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 221/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 221/26.

step 2 The numerator is greater than the denominator of the fraction 221/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 221/26
= 208 + 13/26
= (8 x 26) + 13/26

step 3 Make the above expression as individual fractions:
= (8 x 26)/26 + 13/26

step 4 Simplify the above expression:
= 8 x 26/26 + 13/26
= 8 + 13/26
= 8 + 1 x 13/2 x 13
= 8 + 1/2
8 + 1/2 can be written as a mixed number 8 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 8 + (1/2 x 5/5)
= 8 + 5/10

step 6 Simplify the above expression further:
= 8 + 0.5
= 8.5
221/26 = 8.5

Hence,
221/26 as a decimal is 8.5
221/26 as a mixed number is 8 ¹/₂