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\frac{15}{6}\times 7+8
Multiply 3 and 5 to get 15.
\frac{5}{2}\times 7+8
Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.
\frac{5\times 7}{2}+8
Express \frac{5}{2}\times 7 as a single fraction.
\frac{35}{2}+8
Multiply 5 and 7 to get 35.
\frac{35}{2}+\frac{16}{2}
Convert 8 to fraction \frac{16}{2}.
\frac{35+16}{2}
Since \frac{35}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.
\frac{51}{2}
Add 35 and 16 to get 51.