8 1/3 % of what number is 45.5

Kenge:

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.Thanks,

George T.