150/117 as a Decimal and Mixed Number

150/117 as a decimal and mixed number expansion provides the detailed information about what is 150/117 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/117 as a Decimal
150/117 = 1.2821
Hence,
150/117 as a decimal equals to 1.2821
where,
150/117 is a given fraction,
The decimal expansion of 150/117 is 1.2821

150/117 as a Mixed Number
150/117 = (117 + 33)/117
= 117/117 + 33/117
= 1 + 33/117
= 1 33/117
150/117 = 1 33/117

Hence,
150/117 as a mixed number is 1 ³³/₁₁₇
where,
150/117 is a given fraction,
1 ³³/₁₁₇ is the mixed number representation of 150/117.

The below work with steps provide the detailed information about how to convert fraction 150/117 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/117

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/117.

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

step 3 Make the above expression as individual fractions:
= 117/117 + 33/117

step 4 Simplify the above expression:
= 1 x 117/117 + 33/117
= 1 + 33/117
= 1 + 11 x 3/39 x 3
= 1 + 11/39
1 + 11/39 can be written as a mixed number 1 ¹¹/₃₉.


step 5 Find the decimal equivalent for the fractional part 11/39 in the above expression:
= 1 + 0.2821
= 1.2821
150/117 = 1.2821

Hence,
150/117 as a decimal is 1.2821
150/117 as a mixed number is 1 ¹¹/₃₉