296/24 as a decimal and mixed number expansion provides the detailed information about what is 296/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
296/24 as a Decimal
296/24 = 12.3333
Hence,
296/24 as a decimal equals to 12.3333
where,
296/24 is a given fraction,
The decimal expansion of 296/24 is 12.3333
296/24 as a Mixed Number
296/24 = (288 + 8)/24
= 288/24 + 8/24
= 12 + 8/24
= 12 8/24
296/24 = 12 8/24
Hence,
296/24 as a mixed number is 12 8/24
where,
296/24 is a given fraction,
12 8/24 is the mixed number representation of 296/24.
The below work with steps provide the detailed information about how to convert fraction 296/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 296/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 296/24.
step 2 The numerator is greater than the denominator of the fraction 296/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 296/24
= 288 + 8/24
= (12 x 24) + 8/24
step 3 Make the above expression as individual fractions:
= (12 x 24)/24 + 8/24
step 4 Simplify the above expression:
= 12 x 24/24 + 8/24
= 12 + 8/24
= 12 + 1 x 8/3 x 8
= 12 + 1/3
12 + 1/3 can be written as a mixed number 12 1/3.
step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 12 + 0.3333
= 12.3333
296/24 = 12.3333
Hence,
296/24 as a decimal is 12.3333
296/24 as a mixed number is 12 1/3