Solve 2/9div5quad(1)1/13div7

$$\frac { 2 } { 9 } \div 5 \quad ( 1 ) \frac { 1 } { 13 } \div 7$$

Evaluate

$$\frac{2}{4095}\approx 0.0004884$$

Solution Steps

Express \frac{\frac{2}{9}}{5} as a single fraction.

$$\frac{\frac{2}{9\times 5}\times 1\times \frac{1}{13}}{7}$$

Multiply 9 and 5 to get 45.

$$\frac{\frac{2}{45}\times 1\times \frac{1}{13}}{7}$$

Multiply \frac{2}{45} and 1 to get \frac{2}{45}.

$$\frac{\frac{2}{45}\times \frac{1}{13}}{7}$$

Multiply \frac{2}{45} times \frac{1}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 1}{45\times 13}}{7}$$

Do the multiplications in the fraction \frac{2\times 1}{45\times 13}.

$$\frac{\frac{2}{585}}{7}$$

Express \frac{\frac{2}{585}}{7} as a single fraction.

$$\frac{2}{585\times 7}$$

Multiply 585 and 7 to get 4095.

$$\frac{2}{4095}$$

Factor

$$\frac{2}{3 ^ {2} \cdot 5 \cdot 7 \cdot 13} \approx 0.0004884$$