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\frac{\left(2\times 15+8\right)\times 15}{15\left(1\times 15+4\right)}
Divide \frac{2\times 15+8}{15} by \frac{1\times 15+4}{15} by multiplying \frac{2\times 15+8}{15} by the reciprocal of \frac{1\times 15+4}{15}.
\frac{8+2\times 15}{4+15}
Cancel out 15 in both numerator and denominator.
\frac{8+30}{4+15}
Multiply 2 and 15 to get 30.
\frac{38}{4+15}
Add 8 and 30 to get 38.
\frac{38}{19}
Add 4 and 15 to get 19.
2
Divide 38 by 19 to get 2.