159/13 as a Decimal and Mixed Number

159/13 as a decimal and mixed number expansion provides the detailed information about what is 159/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

159/13 as a Decimal
159/13 = 12.2308
Hence,
159/13 as a decimal equals to 12.2308
where,
159/13 is a given fraction,
The decimal expansion of 159/13 is 12.2308

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

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

The below work with steps provide the detailed information about how to convert fraction 159/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/13.

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

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

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


step 5 Find the decimal equivalent for the fractional part 3/13 in the above expression:
= 12 + 0.2308
= 12.2308
159/13 = 12.2308

Hence,
159/13 as a decimal is 12.2308
159/13 as a mixed number is 12 ³/₁₃