138/12 as a Decimal and Mixed Number

138/12 as a decimal and mixed number expansion provides the detailed information about what is 138/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/12 as a Decimal
138/12 = 11.5
Hence,
138/12 as a decimal equals to 11.5
where,
138/12 is a given fraction,
The decimal expansion of 138/12 is 11.5

138/12 as a Mixed Number
138/12 = (132 + 6)/12
= 132/12 + 6/12
= 11 + 6/12
= 11 6/12
138/12 = 11 6/12

Hence,
138/12 as a mixed number is 11 ⁶/₁₂
where,
138/12 is a given fraction,
11 ⁶/₁₂ is the mixed number representation of 138/12.

The below work with steps provide the detailed information about how to convert fraction 138/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/12.

step 2 The numerator is greater than the denominator of the fraction 138/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/12
= 132 + 6/12
= (11 x 12) + 6/12

step 3 Make the above expression as individual fractions:
= (11 x 12)/12 + 6/12

step 4 Simplify the above expression:
= 11 x 12/12 + 6/12
= 11 + 6/12
= 11 + 1 x 6/2 x 6
= 11 + 1/2
11 + 1/2 can be written as a mixed number 11 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:
= 11 + (1/2 x 5/5)
= 11 + 5/10

step 6 Simplify the above expression further:
= 11 + 0.5
= 11.5
138/12 = 11.5

Hence,
138/12 as a decimal is 11.5
138/12 as a mixed number is 11 ¹/₂