242/30 as a Decimal and Mixed Number

242/30 as a decimal and mixed number expansion provides the detailed information about what is 242/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/30 as a Decimal
242/30 = 8.0667
Hence,
242/30 as a decimal equals to 8.0667
where,
242/30 is a given fraction,
The decimal expansion of 242/30 is 8.0667

242/30 as a Mixed Number
242/30 = (240 + 2)/30
= 240/30 + 2/30
= 8 + 2/30
= 8 2/30
242/30 = 8 2/30

Hence,
242/30 as a mixed number is 8 ²/₃₀
where,
242/30 is a given fraction,
8 ²/₃₀ is the mixed number representation of 242/30.

The below work with steps provide the detailed information about how to convert fraction 242/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/30.

step 2 The numerator is greater than the denominator of the fraction 242/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/30
= 240 + 2/30
= (8 x 30) + 2/30

step 3 Make the above expression as individual fractions:
= (8 x 30)/30 + 2/30

step 4 Simplify the above expression:
= 8 x 30/30 + 2/30
= 8 + 2/30
= 8 + 1 x 2/15 x 2
= 8 + 1/15
8 + 1/15 can be written as a mixed number 8 ¹/₁₅.


step 5 Find the decimal equivalent for the fractional part 1/15 in the above expression:
= 8 + 0.0667
= 8.0667
242/30 = 8.0667

Hence,
242/30 as a decimal is 8.0667
242/30 as a mixed number is 8 ¹/₁₅