274/24 as a Decimal and Mixed Number

274/24 as a decimal and mixed number expansion provides the detailed information about what is 274/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

274/24 as a Decimal
274/24 = 11.4167
Hence,
274/24 as a decimal equals to 11.4167
where,
274/24 is a given fraction,
The decimal expansion of 274/24 is 11.4167

274/24 as a Mixed Number
274/24 = (264 + 10)/24
= 264/24 + 10/24
= 11 + 10/24
= 11 10/24
274/24 = 11 10/24

Hence,
274/24 as a mixed number is 11 ¹⁰/₂₄
where,
274/24 is a given fraction,
11 ¹⁰/₂₄ is the mixed number representation of 274/24.

The below work with steps provide the detailed information about how to convert fraction 274/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 274/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 274/24.

step 2 The numerator is greater than the denominator of the fraction 274/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 274/24
= 264 + 10/24
= (11 x 24) + 10/24

step 3 Make the above expression as individual fractions:
= (11 x 24)/24 + 10/24

step 4 Simplify the above expression:
= 11 x 24/24 + 10/24
= 11 + 10/24
= 11 + 5 x 2/12 x 2
= 11 + 5/12
11 + 5/12 can be written as a mixed number 11 ⁵/₁₂.


step 5 Find the decimal equivalent for the fractional part 5/12 in the above expression:
= 11 + 0.4167
= 11.4167
274/24 = 11.4167

Hence,
274/24 as a decimal is 11.4167
274/24 as a mixed number is 11 ⁵/₁₂