249/12 as a Decimal and Mixed Number

249/12 as a decimal and mixed number expansion provides the detailed information about what is 249/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

249/12 as a Decimal
249/12 = 20.75
Hence,
249/12 as a decimal equals to 20.75
where,
249/12 is a given fraction,
The decimal expansion of 249/12 is 20.75

249/12 as a Mixed Number
249/12 = (240 + 9)/12
= 240/12 + 9/12
= 20 + 9/12
= 20 9/12
249/12 = 20 9/12

Hence,
249/12 as a mixed number is 20 ⁹/₁₂
where,
249/12 is a given fraction,
20 ⁹/₁₂ is the mixed number representation of 249/12.

The below work with steps provide the detailed information about how to convert fraction 249/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 249/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 249/12.

step 2 The numerator is greater than the denominator of the fraction 249/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 249/12
= 240 + 9/12
= (20 x 12) + 9/12

step 3 Make the above expression as individual fractions:
= (20 x 12)/12 + 9/12

step 4 Simplify the above expression:
= 20 x 12/12 + 9/12
= 20 + 9/12
= 20 + 3 x 3/4 x 3
= 20 + 3/4
20 + 3/4 can be written as a mixed number 20 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 20 + (3/4 x 25/25)
= 20 + 75/100

step 6 Simplify the above expression further:
= 20 + 0.75
= 20.75
249/12 = 20.75

Hence,
249/12 as a decimal is 20.75
249/12 as a mixed number is 20 ³/₄