Solve 2/56/75/9/777

$$\frac{ \frac{ \frac{ \frac{ 2 }{ 56 } }{ 75 } }{ 9 } }{ 777 }$$

Evaluate

$$\frac{1}{14685300}\approx 0.000000068$$

Solution Steps

Express \frac{\frac{\frac{\frac{2}{56}}{75}}{9}}{777} as a single fraction.

$$\frac{\frac{\frac{2}{56}}{75}}{9\times 777}$$

Express \frac{\frac{2}{56}}{75} as a single fraction.

$$\frac{\frac{2}{56\times 75}}{9\times 777}$$

Multiply 56 and 75 to get 4200.

$$\frac{\frac{2}{4200}}{9\times 777}$$

Reduce the fraction \frac{2}{4200} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{2100}}{9\times 777}$$

Multiply 9 and 777 to get 6993.

$$\frac{\frac{1}{2100}}{6993}$$

Express \frac{\frac{1}{2100}}{6993} as a single fraction.

$$\frac{1}{2100\times 6993}$$

Multiply 2100 and 6993 to get 14685300.

$$\frac{1}{14685300}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {4} \cdot 5 ^ {2} \cdot 7 ^ {2} \cdot 37} = 6.809530619054428 \times 10^{-8}$$