302/24 as a decimal and mixed number expansion provides the detailed information about what is 302/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
302/24 as a Decimal
302/24 = 12.5833
Hence,
302/24 as a decimal equals to 12.5833
where,
302/24 is a given fraction,
The decimal expansion of 302/24 is 12.5833
302/24 as a Mixed Number
302/24 = (288 + 14)/24
= 288/24 + 14/24
= 12 + 14/24
= 12 14/24
302/24 = 12 14/24
Hence,
302/24 as a mixed number is 12 14/24
where,
302/24 is a given fraction,
12 14/24 is the mixed number representation of 302/24.
The below work with steps provide the detailed information about how to convert fraction 302/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 302/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 302/24.
step 2 The numerator is greater than the denominator of the fraction 302/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 302/24
= 288 + 14/24
= (12 x 24) + 14/24
step 3 Make the above expression as individual fractions:
= (12 x 24)/24 + 14/24
step 4 Simplify the above expression:
= 12 x 24/24 + 14/24
= 12 + 14/24
= 12 + 7 x 2/12 x 2
= 12 + 7/12
12 + 7/12 can be written as a mixed number 12 7/12.
step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
= 12 + 0.5833
= 12.5833
302/24 = 12.5833
Hence,
302/24 as a decimal is 12.5833
302/24 as a mixed number is 12 7/12