242/12 as a Decimal and Mixed Number

242/12 as a decimal and mixed number expansion provides the detailed information about what is 242/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/12 as a Decimal
242/12 = 20.1667
Hence,
242/12 as a decimal equals to 20.1667
where,
242/12 is a given fraction,
The decimal expansion of 242/12 is 20.1667

242/12 as a Mixed Number
242/12 = (240 + 2)/12
= 240/12 + 2/12
= 20 + 2/12
= 20 2/12
242/12 = 20 2/12

Hence,
242/12 as a mixed number is 20 ²/₁₂
where,
242/12 is a given fraction,
20 ²/₁₂ is the mixed number representation of 242/12.

The below work with steps provide the detailed information about how to convert fraction 242/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/12.

step 2 The numerator is greater than the denominator of the fraction 242/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/12
= 240 + 2/12
= (20 x 12) + 2/12

step 3 Make the above expression as individual fractions:
= (20 x 12)/12 + 2/12

step 4 Simplify the above expression:
= 20 x 12/12 + 2/12
= 20 + 2/12
= 20 + 1 x 2/6 x 2
= 20 + 1/6
20 + 1/6 can be written as a mixed number 20 ¹/₆.


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 20 + 0.1667
= 20.1667
242/12 = 20.1667

Hence,
242/12 as a decimal is 20.1667
242/12 as a mixed number is 20 ¹/₆