324/24 as a decimal and mixed number expansion provides the detailed information about what is 324/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
324/24 as a Decimal
324/24 = 13.5
Hence,
324/24 as a decimal equals to 13.5
where,
324/24 is a given fraction,
The decimal expansion of 324/24 is 13.5
324/24 as a Mixed Number
324/24 = (312 + 12)/24
= 312/24 + 12/24
= 13 + 12/24
= 13 12/24
324/24 = 13 12/24
Hence,
324/24 as a mixed number is 13 12/24
where,
324/24 is a given fraction,
13 12/24 is the mixed number representation of 324/24.
The below work with steps provide the detailed information about how to convert fraction 324/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/24.
step 2 The numerator is greater than the denominator of the fraction 324/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/24
= 312 + 12/24
= (13 x 24) + 12/24
step 3 Make the above expression as individual fractions:
= (13 x 24)/24 + 12/24
step 4 Simplify the above expression:
= 13 x 24/24 + 12/24
= 13 + 12/24
= 13 + 1 x 12/2 x 12
= 13 + 1/2
13 + 1/2 can be written as a mixed number 13 1/2.
step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 13 + (1/2 x 5/5)
= 13 + 5/10
step 6 Simplify the above expression further:
= 13 + 0.5
= 13.5
324/24 = 13.5
Hence,
324/24 as a decimal is 13.5
324/24 as a mixed number is 13 1/2