159/132 as a Decimal and Mixed Number

159/132 as a decimal and mixed number expansion provides the detailed information about what is 159/132 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

159/132 as a Decimal
159/132 = 1.2045
Hence,
159/132 as a decimal equals to 1.2045
where,
159/132 is a given fraction,
The decimal expansion of 159/132 is 1.2045

159/132 as a Mixed Number
159/132 = (132 + 27)/132
= 132/132 + 27/132
= 1 + 27/132
= 1 27/132
159/132 = 1 27/132

Hence,
159/132 as a mixed number is 1 ²⁷/₁₃₂
where,
159/132 is a given fraction,
1 ²⁷/₁₃₂ is the mixed number representation of 159/132.

The below work with steps provide the detailed information about how to convert fraction 159/132 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/132

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/132.

step 2 The numerator is greater than the denominator of the fraction 159/132, so write the given fraction in the expression form in terms of denominator as like the below:
= 159/132
= 132 + 27/132

step 3 Make the above expression as individual fractions:
= 132/132 + 27/132

step 4 Simplify the above expression:
= 1 x 132/132 + 27/132
= 1 + 27/132
= 1 + 9 x 3/44 x 3
= 1 + 9/44
1 + 9/44 can be written as a mixed number 1 ⁹/₄₄.


step 5 Find the decimal equivalent for the fractional part 9/44 in the above expression:
= 1 + 0.2045
= 1.2045
159/132 = 1.2045

Hence,
159/132 as a decimal is 1.2045
159/132 as a mixed number is 1 ⁹/₄₄