254/24 as a Decimal and Mixed Number

254/24 as a decimal and mixed number expansion provides the detailed information about what is 254/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

254/24 as a Decimal
254/24 = 10.5833
Hence,
254/24 as a decimal equals to 10.5833
where,
254/24 is a given fraction,
The decimal expansion of 254/24 is 10.5833

254/24 as a Mixed Number
254/24 = (240 + 14)/24
= 240/24 + 14/24
= 10 + 14/24
= 10 14/24
254/24 = 10 14/24

Hence,
254/24 as a mixed number is 10 ¹⁴/₂₄
where,
254/24 is a given fraction,
10 ¹⁴/₂₄ is the mixed number representation of 254/24.

The below work with steps provide the detailed information about how to convert fraction 254/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 254/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 254/24.

step 2 The numerator is greater than the denominator of the fraction 254/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 254/24
= 240 + 14/24
= (10 x 24) + 14/24

step 3 Make the above expression as individual fractions:
= (10 x 24)/24 + 14/24

step 4 Simplify the above expression:
= 10 x 24/24 + 14/24
= 10 + 14/24
= 10 + 7 x 2/12 x 2
= 10 + 7/12
10 + 7/12 can be written as a mixed number 10 ⁷/₁₂.


step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
= 10 + 0.5833
= 10.5833
254/24 = 10.5833

Hence,
254/24 as a decimal is 10.5833
254/24 as a mixed number is 10 ⁷/₁₂