150/38 as a Decimal and Mixed Number

150/38 as a decimal and mixed number expansion provides the detailed information about what is 150/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/38 as a Decimal
150/38 = 3.9474
Hence,
150/38 as a decimal equals to 3.9474
where,
150/38 is a given fraction,
The decimal expansion of 150/38 is 3.9474

150/38 as a Mixed Number
150/38 = (114 + 36)/38
= 114/38 + 36/38
= 3 + 36/38
= 3 36/38
150/38 = 3 36/38

Hence,
150/38 as a mixed number is 3 ³⁶/₃₈
where,
150/38 is a given fraction,
3 ³⁶/₃₈ is the mixed number representation of 150/38.

The below work with steps provide the detailed information about how to convert fraction 150/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/38.

step 2 The numerator is greater than the denominator of the fraction 150/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/38
= 114 + 36/38
= (3 x 38) + 36/38

step 3 Make the above expression as individual fractions:
= (3 x 38)/38 + 36/38

step 4 Simplify the above expression:
= 3 x 38/38 + 36/38
= 3 + 36/38
= 3 + 18 x 2/19 x 2
= 3 + 18/19
3 + 18/19 can be written as a mixed number 3 ¹⁸/₁₉.


step 5 Find the decimal equivalent for the fractional part 18/19 in the above expression:
= 3 + 0.9474
= 3.9474
150/38 = 3.9474

Hence,
150/38 as a decimal is 3.9474
150/38 as a mixed number is 3 ¹⁸/₁₉