159/12 as a Decimal and Mixed Number

159/12 as a decimal and mixed number expansion provides the detailed information about what is 159/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

159/12 as a Decimal
159/12 = 13.25
Hence,
159/12 as a decimal equals to 13.25
where,
159/12 is a given fraction,
The decimal expansion of 159/12 is 13.25

159/12 as a Mixed Number
159/12 = (156 + 3)/12
= 156/12 + 3/12
= 13 + 3/12
= 13 3/12
159/12 = 13 3/12

Hence,
159/12 as a mixed number is 13 ³/₁₂
where,
159/12 is a given fraction,
13 ³/₁₂ is the mixed number representation of 159/12.

The below work with steps provide the detailed information about how to convert fraction 159/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/12.

step 2 The numerator is greater than the denominator of the fraction 159/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 159/12
= 156 + 3/12
= (13 x 12) + 3/12

step 3 Make the above expression as individual fractions:
= (13 x 12)/12 + 3/12

step 4 Simplify the above expression:
= 13 x 12/12 + 3/12
= 13 + 3/12
= 13 + 1 x 3/4 x 3
= 13 + 1/4
13 + 1/4 can be written as a mixed number 13 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 13 + (1/4 x 25/25)
= 13 + 25/100

step 6 Simplify the above expression further:
= 13 + 0.25
= 13.25
159/12 = 13.25

Hence,
159/12 as a decimal is 13.25
159/12 as a mixed number is 13 ¹/₄