20/274 as a decimal expansion provides the detailed information about what is 20/274 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
20/274 as a Decimal
20/274 = 0.073
Hence,
20/274 as a decimal equals to 0.073
where,
20/274 is a given fraction,
The decimal expansion of 20/274 is 0.073
20/274 as a Mixed Number
The given fraction 20/274 can't be represented as a mixed number since the numerator 20 of the given fraction is smaller than the denominator 274.
The below work with steps provide the detailed information about how to convert fraction 20/274 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 20/274
What to be found:
Find the decimal expansion of fraction 20/274.
step 2 The numerator is smaller than the denominator of the fraction 20/274, 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 20/274.
= 20/274 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 20/274 x 1/100
= 2000/274 x 1/100
step 4 Simplify the above expression further:
= 2000/274 x 1/100
= 1918 + 82/274 x 1/100
= ( 1918/274 + 82/274) x 1/100
= (7 + 82/274 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 82/274 in the above expression:
= (7 + 82/274 ) x 1/100
= (7 + 0.299) x 1/100
step 6 Simplify the above expression further:
= (7 + 0.299) x 1/100
= 7.299 x 1/100
= 7.299/100
20/274= 0.07299
Hence,
20/274 as a decimal is 0.07299