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\frac{6\times 3+2}{3\times 100}\times 75
Express \frac{\frac{6\times 3+2}{3}}{100} as a single fraction.
\frac{18+2}{3\times 100}\times 75
Multiply 6 and 3 to get 18.
\frac{20}{3\times 100}\times 75
Add 18 and 2 to get 20.
\frac{20}{300}\times 75
Multiply 3 and 100 to get 300.
\frac{1}{15}\times 75
Reduce the fraction \frac{20}{300} to lowest terms by extracting and canceling out 20.
\frac{75}{15}
Multiply \frac{1}{15} and 75 to get \frac{75}{15}.
5
Divide 75 by 15 to get 5.