261/24 as a Decimal and Mixed Number
261/24 as a decimal and mixed number expansion provides the detailed information about what is 261/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
261/24 as a Decimal
261/24 = 10.875
Hence,
261/24 as a decimal equals to 10.875
where,
261/24 is a given fraction,
The decimal expansion of 261/24 is 10.875
261/24 as a Mixed Number
261/24 = (240 + 21)/24
= 240/24 + 21/24
= 10 + 21/24
= 10 21/24
261/24 = 10 21/24
Hence,
261/24 as a mixed number is 10 21/24
where,
261/24 is a given fraction,
10 21/24 is the mixed number representation of 261/24.
How-to: 261/24 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 261/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 261/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 261/24.
step 2 The numerator is greater than the denominator of the fraction 261/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 261/24
= 240 + 21/24
= (10 x 24) + 21/24
step 3 Make the above expression as individual fractions:
= (10 x 24)/24 + 21/24
step 4 Simplify the above expression:
= 10 x 24/24 + 21/24
= 10 + 21/24
= 10 + 7 x 3/8 x 3
= 10 + 7/8
10 + 7/8 can be written as a mixed number 10 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:
= 10 + (7/8 x 125/125)
= 10 + 875/1000
step 6 Simplify the above expression further:
= 10 + 0.875
= 10.875
261/24 = 10.875
Hence,
261/24 as a decimal is 10.875
261/24 as a mixed number is 10 7/8