318/24 as a Decimal and Mixed Number

318/24 as a decimal and mixed number expansion provides the detailed information about what is 318/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/24 as a Decimal
318/24 = 13.25
Hence,
318/24 as a decimal equals to 13.25
where,
318/24 is a given fraction,
The decimal expansion of 318/24 is 13.25

318/24 as a Mixed Number
318/24 = (312 + 6)/24
= 312/24 + 6/24
= 13 + 6/24
= 13 6/24
318/24 = 13 6/24

Hence,
318/24 as a mixed number is 13 ⁶/₂₄
where,
318/24 is a given fraction,
13 ⁶/₂₄ is the mixed number representation of 318/24.

The below work with steps provide the detailed information about how to convert fraction 318/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/24.

step 2 The numerator is greater than the denominator of the fraction 318/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/24
= 312 + 6/24
= (13 x 24) + 6/24

step 3 Make the above expression as individual fractions:
= (13 x 24)/24 + 6/24

step 4 Simplify the above expression:
= 13 x 24/24 + 6/24
= 13 + 6/24
= 13 + 1 x 6/4 x 6
= 13 + 1/4
13 + 1/4 can be written as a mixed number 13 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 13 + (1/4 x 25/25)
= 13 + 25/100

step 6 Simplify the above expression further:
= 13 + 0.25
= 13.25
318/24 = 13.25

Hence,
318/24 as a decimal is 13.25
318/24 as a mixed number is 13 ¹/₄