150/39 as a Decimal and Mixed Number

150/39 as a decimal and mixed number expansion provides the detailed information about what is 150/39 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/39 as a Decimal
150/39 = 3.8462
Hence,
150/39 as a decimal equals to 3.8462
where,
150/39 is a given fraction,
The decimal expansion of 150/39 is 3.8462

150/39 as a Mixed Number
150/39 = (117 + 33)/39
= 117/39 + 33/39
= 3 + 33/39
= 3 33/39
150/39 = 3 33/39

Hence,
150/39 as a mixed number is 3 ³³/₃₉
where,
150/39 is a given fraction,
3 ³³/₃₉ is the mixed number representation of 150/39.

The below work with steps provide the detailed information about how to convert fraction 150/39 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/39

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/39.

step 2 The numerator is greater than the denominator of the fraction 150/39, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/39
= 117 + 33/39
= (3 x 39) + 33/39

step 3 Make the above expression as individual fractions:
= (3 x 39)/39 + 33/39

step 4 Simplify the above expression:
= 3 x 39/39 + 33/39
= 3 + 33/39
= 3 + 11 x 3/13 x 3
= 3 + 11/13
3 + 11/13 can be written as a mixed number 3 ¹¹/₁₃.


step 5 Find the decimal equivalent for the fractional part 11/13 in the above expression:
= 3 + 0.8462
= 3.8462
150/39 = 3.8462

Hence,
150/39 as a decimal is 3.8462
150/39 as a mixed number is 3 ¹¹/₁₃