38/6 as a Decimal and Mixed Number

38/6 as a decimal and mixed number expansion provides the detailed information about what is 38/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

38/6 as a Decimal
38/6 = 6.3333
Hence,
38/6 as a decimal equals to 6.3333
where,
38/6 is a given fraction,
The decimal expansion of 38/6 is 6.3333

38/6 as a Mixed Number
38/6 = (36 + 2)/6
= 36/6 + 2/6
= 6 + 2/6
= 6 2/6
38/6 = 6 2/6

Hence,
38/6 as a mixed number is 6 ²/₆
where,
38/6 is a given fraction,
6 ²/₆ is the mixed number representation of 38/6.

The below work with steps provide the detailed information about how to convert fraction 38/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 38/6

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 38/6.

step 2 The numerator is greater than the denominator of the fraction 38/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 38/6
= 36 + 2/6
= (6 x 6) + 2/6

step 3 Make the above expression as individual fractions:
= (6 x 6)/6 + 2/6

step 4 Simplify the above expression:
= 6 x 6/6 + 2/6
= 6 + 2/6
= 6 + 1 x 2/3 x 2
= 6 + 1/3
6 + 1/3 can be written as a mixed number 6 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 6 + 0.3333
= 6.3333
38/6 = 6.3333

Hence,
38/6 as a decimal is 6.3333
38/6 as a mixed number is 6 ¹/₃