358/38 as a Decimal and Mixed Number

358/38 as a decimal and mixed number expansion provides the detailed information about what is 358/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

358/38 as a Decimal
358/38 = 9.4211
Hence,
358/38 as a decimal equals to 9.4211
where,
358/38 is a given fraction,
The decimal expansion of 358/38 is 9.4211

358/38 as a Mixed Number
358/38 = (342 + 16)/38
= 342/38 + 16/38
= 9 + 16/38
= 9 16/38
358/38 = 9 16/38

Hence,
358/38 as a mixed number is 9 ¹⁶/₃₈
where,
358/38 is a given fraction,
9 ¹⁶/₃₈ is the mixed number representation of 358/38.

The below work with steps provide the detailed information about how to convert fraction 358/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 358/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 358/38.

step 2 The numerator is greater than the denominator of the fraction 358/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 358/38
= 342 + 16/38
= (9 x 38) + 16/38

step 3 Make the above expression as individual fractions:
= (9 x 38)/38 + 16/38

step 4 Simplify the above expression:
= 9 x 38/38 + 16/38
= 9 + 16/38
= 9 + 8 x 2/19 x 2
= 9 + 8/19
9 + 8/19 can be written as a mixed number 9 ⁸/₁₉.


step 5 Find the decimal equivalent for the fractional part 8/19 in the above expression:
= 9 + 0.4211
= 9.4211
358/38 = 9.4211

Hence,
358/38 as a decimal is 9.4211
358/38 as a mixed number is 9 ⁸/₁₉