Solve 3(2(3)-3(4))/2(3)-(4)+5(3)(4)

$$\frac{ 3(2(3)-3(4)) }{ 2(3)-(4) } +5(3)(4)$$

Evaluate

$$51$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{3\left(6-3\times 4\right)}{2\times 3-4}+5\times 3\times 4$$

Multiply 3 and 4 to get 12.

$$\frac{3\left(6-12\right)}{2\times 3-4}+5\times 3\times 4$$

Subtract 12 from 6 to get -6.

$$\frac{3\left(-6\right)}{2\times 3-4}+5\times 3\times 4$$

Multiply 3 and -6 to get -18.

$$\frac{-18}{2\times 3-4}+5\times 3\times 4$$

Multiply 2 and 3 to get 6.

$$\frac{-18}{6-4}+5\times 3\times 4$$

Subtract 4 from 6 to get 2.

$$\frac{-18}{2}+5\times 3\times 4$$

Divide -18 by 2 to get -9.

$$-9+5\times 3\times 4$$

Multiply 5 and 3 to get 15.

$$-9+15\times 4$$

Multiply 15 and 4 to get 60.

$$-9+60$$

Add -9 and 60 to get 51.

$$51$$

Factor

$$3\times 17$$