24/267 as a Decimal

24/267 as a decimal expansion provides the detailed information about what is 24/267 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

24/267 as a Decimal
24/267 = 0.0899
Hence,
24/267 as a decimal equals to 0.0899
where,
24/267 is a given fraction,
The decimal expansion of 24/267 is 0.0899

24/267 as a Mixed Number
The given fraction 24/267 can't be represented as a mixed number since the numerator 24 of the given fraction is smaller than the denominator 267.

The below work with steps provide the detailed information about how to convert fraction 24/267 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 24/267

What to be found:
Find the decimal expansion of fraction 24/267.

step 2 The numerator is smaller than the denominator of the fraction 24/267, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 24/267.
= 24/267 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 24/267 x 1/100
= 2400/267 x 1/100

step 4 Simplify the above expression further:
= 2400/267 x 1/100
= 2136 + 264/267 x 1/100
= ( 2136/267 + 264/267) x 1/100
= (8 + 264/267 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 264/267 in the above expression:
= (8 + 264/267 ) x 1/100
= (8 + 0.989) x 1/100

step 6 Simplify the above expression further:
= (8 + 0.989) x 1/100
= 8.989 x 1/100
= 8.989/100
24/267= 0.08989

Hence,
24/267 as a decimal is 0.08989