285/24 as a Decimal and Mixed Number

285/24 as a decimal and mixed number expansion provides the detailed information about what is 285/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

285/24 as a Decimal
285/24 = 11.875
Hence,
285/24 as a decimal equals to 11.875
where,
285/24 is a given fraction,
The decimal expansion of 285/24 is 11.875

285/24 as a Mixed Number
285/24 = (264 + 21)/24
= 264/24 + 21/24
= 11 + 21/24
= 11 21/24
285/24 = 11 21/24

Hence,
285/24 as a mixed number is 11 ²¹/₂₄
where,
285/24 is a given fraction,
11 ²¹/₂₄ is the mixed number representation of 285/24.

The below work with steps provide the detailed information about how to convert fraction 285/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 285/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 285/24.

step 2 The numerator is greater than the denominator of the fraction 285/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 285/24
= 264 + 21/24
= (11 x 24) + 21/24

step 3 Make the above expression as individual fractions:
= (11 x 24)/24 + 21/24

step 4 Simplify the above expression:
= 11 x 24/24 + 21/24
= 11 + 21/24
= 11 + 7 x 3/8 x 3
= 11 + 7/8
11 + 7/8 can be written as a mixed number 11 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 11 + (7/8 x 125/125)
= 11 + 875/1000

step 6 Simplify the above expression further:
= 11 + 0.875
= 11.875
285/24 = 11.875

Hence,
285/24 as a decimal is 11.875
285/24 as a mixed number is 11 ⁷/₈