306/24 as a Decimal and Mixed Number

306/24 as a decimal and mixed number expansion provides the detailed information about what is 306/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/24 as a Decimal
306/24 = 12.75
Hence,
306/24 as a decimal equals to 12.75
where,
306/24 is a given fraction,
The decimal expansion of 306/24 is 12.75

306/24 as a Mixed Number
306/24 = (288 + 18)/24
= 288/24 + 18/24
= 12 + 18/24
= 12 18/24
306/24 = 12 18/24

Hence,
306/24 as a mixed number is 12 ¹⁸/₂₄
where,
306/24 is a given fraction,
12 ¹⁸/₂₄ is the mixed number representation of 306/24.

The below work with steps provide the detailed information about how to convert fraction 306/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/24.

step 2 The numerator is greater than the denominator of the fraction 306/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/24
= 288 + 18/24
= (12 x 24) + 18/24

step 3 Make the above expression as individual fractions:
= (12 x 24)/24 + 18/24

step 4 Simplify the above expression:
= 12 x 24/24 + 18/24
= 12 + 18/24
= 12 + 3 x 6/4 x 6
= 12 + 3/4
12 + 3/4 can be written as a mixed number 12 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 12 + (3/4 x 25/25)
= 12 + 75/100

step 6 Simplify the above expression further:
= 12 + 0.75
= 12.75
306/24 = 12.75

Hence,
306/24 as a decimal is 12.75
306/24 as a mixed number is 12 ³/₄