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\frac{70+9}{10}\times 5
Multiply 7 and 10 to get 70.
\frac{79}{10}\times 5
Add 70 and 9 to get 79.
\frac{79\times 5}{10}
Express \frac{79}{10}\times 5 as a single fraction.
\frac{395}{10}
Multiply 79 and 5 to get 395.
\frac{79}{2}
Reduce the fraction \frac{395}{10} to lowest terms by extracting and canceling out 5.