3/304 as a decimal expansion provides the detailed information about what is 3/304 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
3/304 as a Decimal
3/304 = 0.0099
Hence,
3/304 as a decimal equals to 0.0099
where,
3/304 is a given fraction,
The decimal expansion of 3/304 is 0.0099
3/304 as a Mixed Number
The given fraction 3/304 can't be represented as a mixed number since the numerator 3 of the given fraction is smaller than the denominator 304.
The below work with steps provide the detailed information about how to convert fraction 3/304 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 3/304
What to be found:
Find the decimal expansion of fraction 3/304.
step 2 The numerator is smaller than the denominator of the fraction 3/304, 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 3/304.
= 3/304 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000 x 3/304 x 1/1000
= 3000/304 x 1/1000
step 4 Simplify the above expression further:
= 3000/304 x 1/1000
= 2736 + 264/304 x 1/1000
= ( 2736/304 + 264/304) x 1/1000
= (9 + 264/304 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 264/304 in the above expression:
= (9 + 264/304 ) x 1/1000
= (9 + 0.868) x 1/1000
step 6 Simplify the above expression further:
= (9 + 0.868) x 1/1000
= 9.868 x 1/1000
= 9.868/1000
3/304= 0.009868
Hence,
3/304 as a decimal is 0.009868