8 1/3 % of what number is 45.5
In Vivian's solution, note that 8 1/3% was rounded to the nearest thousandths (0.083) prior to solving the problem, which resulted in an answer of 548.
If we choose not to round, we get a slightly different result, as follows:
8 1/3% can be converted into an improper fraction of (25/3)/100, which is equal to 25/300 or 1/12 in reduced form.
Similarly, 45.5 can be converted to 45 1/2 or 91/2.
The equation to solve would then become (1/12)x=91/2
Solving for x, by multiplying both sides by 12 results in x=(91/2)*12 or x=546, as the answer.