198/38 as a Decimal and Mixed Number

198/38 as a decimal and mixed number expansion provides the detailed information about what is 198/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/38 as a Decimal
198/38 = 5.2105
Hence,
198/38 as a decimal equals to 5.2105
where,
198/38 is a given fraction,
The decimal expansion of 198/38 is 5.2105

198/38 as a Mixed Number
198/38 = (190 + 8)/38
= 190/38 + 8/38
= 5 + 8/38
= 5 8/38
198/38 = 5 8/38

Hence,
198/38 as a mixed number is 5 ⁸/₃₈
where,
198/38 is a given fraction,
5 ⁸/₃₈ is the mixed number representation of 198/38.

The below work with steps provide the detailed information about how to convert fraction 198/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/38.

step 2 The numerator is greater than the denominator of the fraction 198/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/38
= 190 + 8/38
= (5 x 38) + 8/38

step 3 Make the above expression as individual fractions:
= (5 x 38)/38 + 8/38

step 4 Simplify the above expression:
= 5 x 38/38 + 8/38
= 5 + 8/38
= 5 + 4 x 2/19 x 2
= 5 + 4/19
5 + 4/19 can be written as a mixed number 5 ⁴/₁₉.


step 5 Find the decimal equivalent for the fractional part 4/19 in the above expression:
= 5 + 0.2105
= 5.2105
198/38 = 5.2105

Hence,
198/38 as a decimal is 5.2105
198/38 as a mixed number is 5 ⁴/₁₉