8/33 as a Decimal

8/33 as a decimal expansion provides the detailed information about what is 8/33 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

8/33 as a Decimal
8/33 = 0.2424
Hence,
8/33 as a decimal equals to 0.2424
where,
8/33 is a given fraction,
The decimal expansion of 8/33 is 0.2424

8/33 as a Mixed Number
The given fraction 8/33 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 33.

The below work with steps provide the detailed information about how to convert fraction 8/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/33

What to be found:
Find the decimal expansion of fraction 8/33.

step 2 The numerator is smaller than the denominator of the fraction 8/33, 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 8/33.
= 8/33 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 8/33 x 1/100
= 800/33 x 1/100

step 4 Simplify the above expression further:
= 800/33 x 1/100
= 792 + 8/33 x 1/100
= ( 792/33 + 8/33) x 1/100
= (24 + 8/33 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 8/33 in the above expression:
= (24 + 8/33 ) x 1/100
= (24 + 0.242) x 1/100

step 6 Simplify the above expression further:
= (24 + 0.242) x 1/100
= 24.242 x 1/100
= 24.242/100
8/33= 0.24242

Hence,
8/33 as a decimal is 0.24242