285/12 as a Decimal and Mixed Number

285/12 as a decimal and mixed number expansion provides the detailed information about what is 285/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

285/12 as a Decimal
285/12 = 23.75
Hence,
285/12 as a decimal equals to 23.75
where,
285/12 is a given fraction,
The decimal expansion of 285/12 is 23.75

285/12 as a Mixed Number
285/12 = (276 + 9)/12
= 276/12 + 9/12
= 23 + 9/12
= 23 9/12
285/12 = 23 9/12

Hence,
285/12 as a mixed number is 23 ⁹/₁₂
where,
285/12 is a given fraction,
23 ⁹/₁₂ is the mixed number representation of 285/12.

The below work with steps provide the detailed information about how to convert fraction 285/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 285/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 285/12.

step 2 The numerator is greater than the denominator of the fraction 285/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 285/12
= 276 + 9/12
= (23 x 12) + 9/12

step 3 Make the above expression as individual fractions:
= (23 x 12)/12 + 9/12

step 4 Simplify the above expression:
= 23 x 12/12 + 9/12
= 23 + 9/12
= 23 + 3 x 3/4 x 3
= 23 + 3/4
23 + 3/4 can be written as a mixed number 23 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:
= 23 + (3/4 x 25/25)
= 23 + 75/100

step 6 Simplify the above expression further:
= 23 + 0.75
= 23.75
285/12 = 23.75

Hence,
285/12 as a decimal is 23.75
285/12 as a mixed number is 23 ³/₄