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\frac{33\times 3+1}{3\times 100}
Express \frac{\frac{33\times 3+1}{3}}{100} as a single fraction.
\frac{99+1}{3\times 100}
Multiply 33 and 3 to get 99.
\frac{100}{3\times 100}
Add 99 and 1 to get 100.
\frac{100}{300}
Multiply 3 and 100 to get 300.
\frac{1}{3}
Reduce the fraction \frac{100}{300} to lowest terms by extracting and canceling out 100.