142/12 as a Decimal and Mixed Number

142/12 as a decimal and mixed number expansion provides the detailed information about what is 142/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

142/12 as a Decimal
142/12 = 11.8333
Hence,
142/12 as a decimal equals to 11.8333
where,
142/12 is a given fraction,
The decimal expansion of 142/12 is 11.8333

142/12 as a Mixed Number
142/12 = (132 + 10)/12
= 132/12 + 10/12
= 11 + 10/12
= 11 10/12
142/12 = 11 10/12

Hence,
142/12 as a mixed number is 11 ¹⁰/₁₂
where,
142/12 is a given fraction,
11 ¹⁰/₁₂ is the mixed number representation of 142/12.

The below work with steps provide the detailed information about how to convert fraction 142/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 142/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 142/12.

step 2 The numerator is greater than the denominator of the fraction 142/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 142/12
= 132 + 10/12
= (11 x 12) + 10/12

step 3 Make the above expression as individual fractions:
= (11 x 12)/12 + 10/12

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


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 11 + 0.8333
= 11.8333
142/12 = 11.8333

Hence,
142/12 as a decimal is 11.8333
142/12 as a mixed number is 11 ⁵/₆