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15-\frac{15+1}{3}\times \frac{2\times 4+1}{4}
Multiply 5 and 3 to get 15.
15-\frac{16}{3}\times \frac{2\times 4+1}{4}
Add 15 and 1 to get 16.
15-\frac{16}{3}\times \frac{8+1}{4}
Multiply 2 and 4 to get 8.
15-\frac{16}{3}\times \frac{9}{4}
Add 8 and 1 to get 9.
15-\frac{16\times 9}{3\times 4}
Multiply \frac{16}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.
15-\frac{144}{12}
Do the multiplications in the fraction \frac{16\times 9}{3\times 4}.
15-12
Divide 144 by 12 to get 12.
3
Subtract 12 from 15 to get 3.