27/304 as a decimal expansion provides the detailed information about what is 27/304 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
27/304 as a Decimal
27/304 = 0.0888
Hence,
27/304 as a decimal equals to 0.0888
where,
27/304 is a given fraction,
The decimal expansion of 27/304 is 0.0888
27/304 as a Mixed Number
The given fraction 27/304 can't be represented as a mixed number since the numerator 27 of the given fraction is smaller than the denominator 304.
The below work with steps provide the detailed information about how to convert fraction 27/304 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 27/304
What to be found:
Find the decimal expansion of fraction 27/304.
step 2 The numerator is smaller than the denominator of the fraction 27/304, 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 27/304.
= 27/304 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 27/304 x 1/100
= 2700/304 x 1/100
step 4 Simplify the above expression further:
= 2700/304 x 1/100
= 2432 + 268/304 x 1/100
= ( 2432/304 + 268/304) x 1/100
= (8 + 268/304 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 268/304 in the above expression:
= (8 + 268/304 ) x 1/100
= (8 + 0.882) x 1/100
step 6 Simplify the above expression further:
= (8 + 0.882) x 1/100
= 8.882 x 1/100
= 8.882/100
27/304= 0.08882
Hence,
27/304 as a decimal is 0.08882