Solve 3*5*4*3div3div2*5*4*3*2div4div3div2

$$3 \times 5 \times 4 \times 3 \div 3 \div 2 \times 5 \times 4 \times 3 \times 2 \div 4 \div 3 \div 2$$

Evaluate

$$150$$

Solution Steps

Express \frac{\frac{\frac{\frac{\frac{3\times 5\times 4\times 3}{3}}{2}\times 5\times 4\times 3\times 2}{4}}{3}}{2} as a single fraction.

$$\frac{\frac{\frac{\frac{3\times 5\times 4\times 3}{3}}{2}\times 5\times 4\times 3\times 2}{4}}{3\times 2}$$

Cancel out 4 and 4.

$$\frac{\frac{\frac{3\times 5\times 4\times 3}{3}}{2}\times 5\times 3\times 2}{3\times 2}$$

Multiply 5 and 3 to get 15.

$$\frac{\frac{\frac{3\times 5\times 4\times 3}{3}}{2}\times 15\times 2}{3\times 2}$$

Multiply 15 and 2 to get 30.

$$\frac{\frac{\frac{3\times 5\times 4\times 3}{3}}{2}\times 30}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{\frac{\frac{3\times 5\times 4\times 3}{3}}{2}\times 30}{6}$$

Express \frac{\frac{3\times 5\times 4\times 3}{3}}{2} as a single fraction.

$$\frac{\frac{3\times 5\times 4\times 3}{3\times 2}\times 30}{6}$$

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{2\times 3\times 5\times 30}{6}$$

Multiply 2 and 3 to get 6.

$$\frac{6\times 5\times 30}{6}$$

Multiply 6 and 5 to get 30.

$$\frac{30\times 30}{6}$$

Multiply 30 and 30 to get 900.

$$\frac{900}{6}$$

Divide 900 by 6 to get 150.

$$150$$

Factor

$$2\times 3\times 5^{2}$$