309/24 as a Decimal and Mixed Number

309/24 as a decimal and mixed number expansion provides the detailed information about what is 309/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/24 as a Decimal
309/24 = 12.875
Hence,
309/24 as a decimal equals to 12.875
where,
309/24 is a given fraction,
The decimal expansion of 309/24 is 12.875

309/24 as a Mixed Number
309/24 = (288 + 21)/24
= 288/24 + 21/24
= 12 + 21/24
= 12 21/24
309/24 = 12 21/24

Hence,
309/24 as a mixed number is 12 ²¹/₂₄
where,
309/24 is a given fraction,
12 ²¹/₂₄ is the mixed number representation of 309/24.

The below work with steps provide the detailed information about how to convert fraction 309/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/24.

step 2 The numerator is greater than the denominator of the fraction 309/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/24
= 288 + 21/24
= (12 x 24) + 21/24

step 3 Make the above expression as individual fractions:
= (12 x 24)/24 + 21/24

step 4 Simplify the above expression:
= 12 x 24/24 + 21/24
= 12 + 21/24
= 12 + 7 x 3/8 x 3
= 12 + 7/8
12 + 7/8 can be written as a mixed number 12 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 12 + (7/8 x 125/125)
= 12 + 875/1000

step 6 Simplify the above expression further:
= 12 + 0.875
= 12.875
309/24 = 12.875

Hence,
309/24 as a decimal is 12.875
309/24 as a mixed number is 12 ⁷/₈