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\frac{10+5}{40}\times 100\times 5
Subtract 40 from 50 to get 10.
\frac{15}{40}\times 100\times 5
Add 10 and 5 to get 15.
\frac{3}{8}\times 100\times 5
Reduce the fraction \frac{15}{40} to lowest terms by extracting and canceling out 5.
\frac{3\times 100}{8}\times 5
Express \frac{3}{8}\times 100 as a single fraction.
\frac{300}{8}\times 5
Multiply 3 and 100 to get 300.
\frac{75}{2}\times 5
Reduce the fraction \frac{300}{8} to lowest terms by extracting and canceling out 4.
\frac{75\times 5}{2}
Express \frac{75}{2}\times 5 as a single fraction.
\frac{375}{2}
Multiply 75 and 5 to get 375.