255/12 as a Decimal and Mixed Number

255/12 as a decimal and mixed number expansion provides the detailed information about what is 255/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/12 as a Decimal
255/12 = 21.25
Hence,
255/12 as a decimal equals to 21.25
where,
255/12 is a given fraction,
The decimal expansion of 255/12 is 21.25

255/12 as a Mixed Number
255/12 = (252 + 3)/12
= 252/12 + 3/12
= 21 + 3/12
= 21 3/12
255/12 = 21 3/12

Hence,
255/12 as a mixed number is 21 ³/₁₂
where,
255/12 is a given fraction,
21 ³/₁₂ is the mixed number representation of 255/12.

The below work with steps provide the detailed information about how to convert fraction 255/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/12.

step 2 The numerator is greater than the denominator of the fraction 255/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/12
= 252 + 3/12
= (21 x 12) + 3/12

step 3 Make the above expression as individual fractions:
= (21 x 12)/12 + 3/12

step 4 Simplify the above expression:
= 21 x 12/12 + 3/12
= 21 + 3/12
= 21 + 1 x 3/4 x 3
= 21 + 1/4
21 + 1/4 can be written as a mixed number 21 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 21 + (1/4 x 25/25)
= 21 + 25/100

step 6 Simplify the above expression further:
= 21 + 0.25
= 21.25
255/12 = 21.25

Hence,
255/12 as a decimal is 21.25
255/12 as a mixed number is 21 ¹/₄