Solve 2div3div4div5div6

$$2 \div 3 \div 4 \div 5 \div 6$$

Evaluate

$$\frac{1}{180}\approx 0.005555556$$

Solution Steps

Express \frac{\frac{\frac{\frac{2}{3}}{4}}{5}}{6} as a single fraction.

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

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

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

Multiply 3 and 4 to get 12.

$$\frac{\frac{2}{12}}{5\times 6}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{6}}{5\times 6}$$

Multiply 5 and 6 to get 30.

$$\frac{\frac{1}{6}}{30}$$

Express \frac{\frac{1}{6}}{30} as a single fraction.

$$\frac{1}{6\times 30}$$

Multiply 6 and 30 to get 180.

$$\frac{1}{180}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 0.005555555555555556$$