100/12 as a Decimal and Mixed Number

100/12 as a decimal and mixed number expansion provides the detailed information about what is 100/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

100/12 as a Decimal
100/12 = 8.3333
Hence,
100/12 as a decimal equals to 8.3333
where,
100/12 is a given fraction,
The decimal expansion of 100/12 is 8.3333

100/12 as a Mixed Number
100/12 = (96 + 4)/12
= 96/12 + 4/12
= 8 + 4/12
= 8 4/12
100/12 = 8 4/12

Hence,
100/12 as a mixed number is 8 ⁴/₁₂
where,
100/12 is a given fraction,
8 ⁴/₁₂ is the mixed number representation of 100/12.

The below work with steps provide the detailed information about how to convert fraction 100/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 100/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 100/12.

step 2 The numerator is greater than the denominator of the fraction 100/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 100/12
= 96 + 4/12
= (8 x 12) + 4/12

step 3 Make the above expression as individual fractions:
= (8 x 12)/12 + 4/12

step 4 Simplify the above expression:
= 8 x 12/12 + 4/12
= 8 + 4/12
= 8 + 1 x 4/3 x 4
= 8 + 1/3
8 + 1/3 can be written as a mixed number 8 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 8 + 0.3333
= 8.3333
100/12 = 8.3333

Hence,
100/12 as a decimal is 8.3333
100/12 as a mixed number is 8 ¹/₃