146/12 as a Decimal and Mixed Number

146/12 as a decimal and mixed number expansion provides the detailed information about what is 146/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

146/12 as a Decimal
146/12 = 12.1667
Hence,
146/12 as a decimal equals to 12.1667
where,
146/12 is a given fraction,
The decimal expansion of 146/12 is 12.1667

146/12 as a Mixed Number
146/12 = (144 + 2)/12
= 144/12 + 2/12
= 12 + 2/12
= 12 2/12
146/12 = 12 2/12

Hence,
146/12 as a mixed number is 12 ²/₁₂
where,
146/12 is a given fraction,
12 ²/₁₂ is the mixed number representation of 146/12.

The below work with steps provide the detailed information about how to convert fraction 146/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 146/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 146/12.

step 2 The numerator is greater than the denominator of the fraction 146/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 146/12
= 144 + 2/12
= (12 x 12) + 2/12

step 3 Make the above expression as individual fractions:
= (12 x 12)/12 + 2/12

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


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 12 + 0.1667
= 12.1667
146/12 = 12.1667

Hence,
146/12 as a decimal is 12.1667
146/12 as a mixed number is 12 ¹/₆