8/273 as a decimal expansion provides the detailed information about what is 8/273 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/273 as a Decimal
8/273 = 0.0293
Hence,
8/273 as a decimal equals to 0.0293
where,
8/273 is a given fraction,
The decimal expansion of 8/273 is 0.0293
8/273 as a Mixed Number
The given fraction 8/273 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 273.
The below work with steps provide the detailed information about how to convert fraction 8/273 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/273
What to be found:
Find the decimal expansion of fraction 8/273.
step 2 The numerator is smaller than the denominator of the fraction 8/273, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 8/273.
= 8/273 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000 x 8/273 x 1/1000
= 8000/273 x 1/1000
step 4 Simplify the above expression further:
= 8000/273 x 1/1000
= 7917 + 83/273 x 1/1000
= ( 7917/273 + 83/273) x 1/1000
= (29 + 83/273 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 83/273 in the above expression:
= (29 + 83/273 ) x 1/1000
= (29 + 0.304) x 1/1000
step 6 Simplify the above expression further:
= (29 + 0.304) x 1/1000
= 29.304 x 1/1000
= 29.304/1000
8/273= 0.029304
Hence,
8/273 as a decimal is 0.029304