38/30 as a Decimal and Mixed Number

38/30 as a decimal and mixed number expansion provides the detailed information about what is 38/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

38/30 as a Decimal
38/30 = 1.2667
Hence,
38/30 as a decimal equals to 1.2667
where,
38/30 is a given fraction,
The decimal expansion of 38/30 is 1.2667

38/30 as a Mixed Number
38/30 = (30 + 8)/30
= 30/30 + 8/30
= 1 + 8/30
= 1 8/30
38/30 = 1 8/30

Hence,
38/30 as a mixed number is 1 ⁸/₃₀
where,
38/30 is a given fraction,
1 ⁸/₃₀ is the mixed number representation of 38/30.

The below work with steps provide the detailed information about how to convert fraction 38/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 38/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 38/30.

step 2 The numerator is greater than the denominator of the fraction 38/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 38/30
= 30 + 8/30

step 3 Make the above expression as individual fractions:
= 30/30 + 8/30

step 4 Simplify the above expression:
= 1 x 30/30 + 8/30
= 1 + 8/30
= 1 + 4 x 2/15 x 2
= 1 + 4/15
1 + 4/15 can be written as a mixed number 1 ⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 4/15 in the above expression:
= 1 + 0.2667
= 1.2667
38/30 = 1.2667

Hence,
38/30 as a decimal is 1.2667
38/30 as a mixed number is 1 ⁴/₁₅