358/42 as a Decimal and Mixed Number

358/42 as a decimal and mixed number expansion provides the detailed information about what is 358/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

358/42 as a Decimal
358/42 = 8.5238
Hence,
358/42 as a decimal equals to 8.5238
where,
358/42 is a given fraction,
The decimal expansion of 358/42 is 8.5238

358/42 as a Mixed Number
358/42 = (336 + 22)/42
= 336/42 + 22/42
= 8 + 22/42
= 8 22/42
358/42 = 8 22/42

Hence,
358/42 as a mixed number is 8 ²²/₄₂
where,
358/42 is a given fraction,
8 ²²/₄₂ is the mixed number representation of 358/42.

The below work with steps provide the detailed information about how to convert fraction 358/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 358/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 358/42.

step 2 The numerator is greater than the denominator of the fraction 358/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 358/42
= 336 + 22/42
= (8 x 42) + 22/42

step 3 Make the above expression as individual fractions:
= (8 x 42)/42 + 22/42

step 4 Simplify the above expression:
= 8 x 42/42 + 22/42
= 8 + 22/42
= 8 + 11 x 2/21 x 2
= 8 + 11/21
8 + 11/21 can be written as a mixed number 8 ¹¹/₂₁.


step 5 Find the decimal equivalent for the fractional part 11/21 in the above expression:
= 8 + 0.5238
= 8.5238
358/42 = 8.5238

Hence,
358/42 as a decimal is 8.5238
358/42 as a mixed number is 8 ¹¹/₂₁