338/38 as a Decimal and Mixed Number

338/38 as a decimal and mixed number expansion provides the detailed information about what is 338/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/38 as a Decimal
338/38 = 8.8947
Hence,
338/38 as a decimal equals to 8.8947
where,
338/38 is a given fraction,
The decimal expansion of 338/38 is 8.8947

338/38 as a Mixed Number
338/38 = (304 + 34)/38
= 304/38 + 34/38
= 8 + 34/38
= 8 34/38
338/38 = 8 34/38

Hence,
338/38 as a mixed number is 8 ³⁴/₃₈
where,
338/38 is a given fraction,
8 ³⁴/₃₈ is the mixed number representation of 338/38.

The below work with steps provide the detailed information about how to convert fraction 338/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/38.

step 2 The numerator is greater than the denominator of the fraction 338/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/38
= 304 + 34/38
= (8 x 38) + 34/38

step 3 Make the above expression as individual fractions:
= (8 x 38)/38 + 34/38

step 4 Simplify the above expression:
= 8 x 38/38 + 34/38
= 8 + 34/38
= 8 + 17 x 2/19 x 2
= 8 + 17/19
8 + 17/19 can be written as a mixed number 8 ¹⁷/₁₉.


step 5 Find the decimal equivalent for the fractional part 17/19 in the above expression:
= 8 + 0.8947
= 8.8947
338/38 = 8.8947

Hence,
338/38 as a decimal is 8.8947
338/38 as a mixed number is 8 ¹⁷/₁₉