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\frac{15\times 4}{3\times 4+3}
Divide 15 by \frac{3\times 4+3}{4} by multiplying 15 by the reciprocal of \frac{3\times 4+3}{4}.
\frac{60}{3\times 4+3}
Multiply 15 and 4 to get 60.
\frac{60}{12+3}
Multiply 3 and 4 to get 12.
\frac{60}{15}
Add 12 and 3 to get 15.
4
Divide 60 by 15 to get 4.