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\frac{3\times 5+1}{5\times 100}\times 500
Express \frac{\frac{3\times 5+1}{5}}{100} as a single fraction.
\frac{15+1}{5\times 100}\times 500
Multiply 3 and 5 to get 15.
\frac{16}{5\times 100}\times 500
Add 15 and 1 to get 16.
\frac{16}{500}\times 500
Multiply 5 and 100 to get 500.
\frac{4}{125}\times 500
Reduce the fraction \frac{16}{500} to lowest terms by extracting and canceling out 4.
\frac{4\times 500}{125}
Express \frac{4}{125}\times 500 as a single fraction.
\frac{2000}{125}
Multiply 4 and 500 to get 2000.
16
Divide 2000 by 125 to get 16.