Solve 999*99*9div99div9div3=?

$$999 \times 99 \times 9 \div 99 \div 9 \div 3 = ?$$

Evaluate

$$333$$

Solution Steps

Express \frac{\frac{\frac{999\times 99\times 9}{99}}{9}}{3} as a single fraction.

$$\frac{\frac{999\times 99\times 9}{99}}{9\times 3}$$

Cancel out 99 and 99.

$$\frac{999\times 9}{9\times 3}$$

Multiply 999 and 9 to get 8991.

$$\frac{8991}{9\times 3}$$

Multiply 9 and 3 to get 27.

$$\frac{8991}{27}$$

Divide 8991 by 27 to get 333.

$$333$$

Factor

$$3^{2}\times 37$$