162/12 as a Decimal and Mixed Number

162/12 as a decimal and mixed number expansion provides the detailed information about what is 162/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

162/12 as a Decimal
162/12 = 13.5
Hence,
162/12 as a decimal equals to 13.5
where,
162/12 is a given fraction,
The decimal expansion of 162/12 is 13.5

162/12 as a Mixed Number
162/12 = (156 + 6)/12
= 156/12 + 6/12
= 13 + 6/12
= 13 6/12
162/12 = 13 6/12

Hence,
162/12 as a mixed number is 13 ⁶/₁₂
where,
162/12 is a given fraction,
13 ⁶/₁₂ is the mixed number representation of 162/12.

The below work with steps provide the detailed information about how to convert fraction 162/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/12.

step 2 The numerator is greater than the denominator of the fraction 162/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/12
= 156 + 6/12
= (13 x 12) + 6/12

step 3 Make the above expression as individual fractions:
= (13 x 12)/12 + 6/12

step 4 Simplify the above expression:
= 13 x 12/12 + 6/12
= 13 + 6/12
= 13 + 1 x 6/2 x 6
= 13 + 1/2
13 + 1/2 can be written as a mixed number 13 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 13 + (1/2 x 5/5)
= 13 + 5/10

step 6 Simplify the above expression further:
= 13 + 0.5
= 13.5
162/12 = 13.5

Hence,
162/12 as a decimal is 13.5
162/12 as a mixed number is 13 ¹/₂