328/24 as a Decimal and Mixed Number

328/24 as a decimal and mixed number expansion provides the detailed information about what is 328/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

328/24 as a Decimal
328/24 = 13.6667
Hence,
328/24 as a decimal equals to 13.6667
where,
328/24 is a given fraction,
The decimal expansion of 328/24 is 13.6667

328/24 as a Mixed Number
328/24 = (312 + 16)/24
= 312/24 + 16/24
= 13 + 16/24
= 13 16/24
328/24 = 13 16/24

Hence,
328/24 as a mixed number is 13 ¹⁶/₂₄
where,
328/24 is a given fraction,
13 ¹⁶/₂₄ is the mixed number representation of 328/24.

The below work with steps provide the detailed information about how to convert fraction 328/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 328/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 328/24.

step 2 The numerator is greater than the denominator of the fraction 328/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 328/24
= 312 + 16/24
= (13 x 24) + 16/24

step 3 Make the above expression as individual fractions:
= (13 x 24)/24 + 16/24

step 4 Simplify the above expression:
= 13 x 24/24 + 16/24
= 13 + 16/24
= 13 + 2 x 8/3 x 8
= 13 + 2/3
13 + 2/3 can be written as a mixed number 13 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 13 + 0.6667
= 13.6667
328/24 = 13.6667

Hence,
328/24 as a decimal is 13.6667
328/24 as a mixed number is 13 ²/₃