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\frac{47\times 2+1}{2\times 100}
Express \frac{\frac{47\times 2+1}{2}}{100} as a single fraction.
\frac{94+1}{2\times 100}
Multiply 47 and 2 to get 94.
\frac{95}{2\times 100}
Add 94 and 1 to get 95.
\frac{95}{200}
Multiply 2 and 100 to get 200.
\frac{19}{40}
Reduce the fraction \frac{95}{200} to lowest terms by extracting and canceling out 5.