242/27 as a Decimal and Mixed Number

242/27 as a decimal and mixed number expansion provides the detailed information about what is 242/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/27 as a Decimal
242/27 = 8.963
Hence,
242/27 as a decimal equals to 8.963
where,
242/27 is a given fraction,
The decimal expansion of 242/27 is 8.963

242/27 as a Mixed Number
242/27 = (216 + 26)/27
= 216/27 + 26/27
= 8 + 26/27
= 8 26/27
242/27 = 8 26/27

Hence,
242/27 as a mixed number is 8 ²⁶/₂₇
where,
242/27 is a given fraction,
8 ²⁶/₂₇ is the mixed number representation of 242/27.

The below work with steps provide the detailed information about how to convert fraction 242/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/27.

step 2 The numerator is greater than the denominator of the fraction 242/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/27
= 216 + 26/27
= (8 x 27) + 26/27

step 3 Make the above expression as individual fractions:
= (8 x 27)/27 + 26/27

step 4 Simplify the above expression:
= 8 x 27/27 + 26/27
= 8 + 26/27
8 + 26/27 can be written as a mixed number 8 ²⁶/₂₇.


step 5 Find the decimal equivalent for the fractional part 26/27 in the above expression:
= 8 + 0.963
= 8.963
242/27 = 8.963

Hence,
242/27 as a decimal is 8.963
242/27 as a mixed number is 8 ²⁶/₂₇