201/24 as a Decimal and Mixed Number

201/24 as a decimal and mixed number expansion provides the detailed information about what is 201/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

201/24 as a Decimal
201/24 = 8.375
Hence,
201/24 as a decimal equals to 8.375
where,
201/24 is a given fraction,
The decimal expansion of 201/24 is 8.375

201/24 as a Mixed Number
201/24 = (192 + 9)/24
= 192/24 + 9/24
= 8 + 9/24
= 8 9/24
201/24 = 8 9/24

Hence,
201/24 as a mixed number is 8 ⁹/₂₄
where,
201/24 is a given fraction,
8 ⁹/₂₄ is the mixed number representation of 201/24.

The below work with steps provide the detailed information about how to convert fraction 201/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 201/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 201/24.

step 2 The numerator is greater than the denominator of the fraction 201/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 201/24
= 192 + 9/24
= (8 x 24) + 9/24

step 3 Make the above expression as individual fractions:
= (8 x 24)/24 + 9/24

step 4 Simplify the above expression:
= 8 x 24/24 + 9/24
= 8 + 9/24
= 8 + 3 x 3/8 x 3
= 8 + 3/8
8 + 3/8 can be written as a mixed number 8 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 8 + (3/8 x 125/125)
= 8 + 375/1000

step 6 Simplify the above expression further:
= 8 + 0.375
= 8.375
201/24 = 8.375

Hence,
201/24 as a decimal is 8.375
201/24 as a mixed number is 8 ³/₈