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\frac{66\times 3+2}{3\times 100}
Express \frac{\frac{66\times 3+2}{3}}{100} as a single fraction.
\frac{198+2}{3\times 100}
Multiply 66 and 3 to get 198.
\frac{200}{3\times 100}
Add 198 and 2 to get 200.
\frac{200}{300}
Multiply 3 and 100 to get 300.
\frac{2}{3}
Reduce the fraction \frac{200}{300} to lowest terms by extracting and canceling out 100.