323/24 as a Decimal and Mixed Number

323/24 as a decimal and mixed number expansion provides the detailed information about what is 323/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

323/24 as a Decimal
323/24 = 13.4583
Hence,
323/24 as a decimal equals to 13.4583
where,
323/24 is a given fraction,
The decimal expansion of 323/24 is 13.4583

323/24 as a Mixed Number
323/24 = (312 + 11)/24
= 312/24 + 11/24
= 13 + 11/24
= 13 11/24
323/24 = 13 11/24

Hence,
323/24 as a mixed number is 13 ¹¹/₂₄
where,
323/24 is a given fraction,
13 ¹¹/₂₄ is the mixed number representation of 323/24.

The below work with steps provide the detailed information about how to convert fraction 323/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 323/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 323/24.

step 2 The numerator is greater than the denominator of the fraction 323/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 323/24
= 312 + 11/24
= (13 x 24) + 11/24

step 3 Make the above expression as individual fractions:
= (13 x 24)/24 + 11/24

step 4 Simplify the above expression:
= 13 x 24/24 + 11/24
= 13 + 11/24
13 + 11/24 can be written as a mixed number 13 ¹¹/₂₄.


step 5 Find the decimal equivalent for the fractional part 11/24 in the above expression:
= 13 + 0.4583
= 13.4583
323/24 = 13.4583

Hence,
323/24 as a decimal is 13.4583
323/24 as a mixed number is 13 ¹¹/₂₄