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3+\frac{5\times 100}{3}
Express \frac{5}{3}\times 100 as a single fraction.
3+\frac{500}{3}
Multiply 5 and 100 to get 500.
\frac{9}{3}+\frac{500}{3}
Convert 3 to fraction \frac{9}{3}.
\frac{9+500}{3}
Since \frac{9}{3} and \frac{500}{3} have the same denominator, add them by adding their numerators.
\frac{509}{3}
Add 9 and 500 to get 509.