Solve (5/8*10div50)div121div12=

$$( \frac{ 5 }{ 8 } \times 10 \div 50) \div 121 \div 12=$$

Evaluate

$$\frac{1}{11616}\approx 0.000086088$$

Solution Steps

Express \frac{\frac{\frac{\frac{5}{8}\times 10}{50}}{121}}{12} as a single fraction.

$$\frac{\frac{\frac{5}{8}\times 10}{50}}{121\times 12}$$

Express \frac{5}{8}\times 10 as a single fraction.

$$\frac{\frac{\frac{5\times 10}{8}}{50}}{121\times 12}$$

Multiply 5 and 10 to get 50.

$$\frac{\frac{\frac{50}{8}}{50}}{121\times 12}$$

Reduce the fraction \frac{50}{8} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{\frac{25}{4}}{50}}{121\times 12}$$

Express \frac{\frac{25}{4}}{50} as a single fraction.

$$\frac{\frac{25}{4\times 50}}{121\times 12}$$

Multiply 4 and 50 to get 200.

$$\frac{\frac{25}{200}}{121\times 12}$$

Reduce the fraction \frac{25}{200} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{1}{8}}{121\times 12}$$

Multiply 121 and 12 to get 1452.

$$\frac{\frac{1}{8}}{1452}$$

Express \frac{\frac{1}{8}}{1452} as a single fraction.

$$\frac{1}{8\times 1452}$$

Multiply 8 and 1452 to get 11616.

$$\frac{1}{11616}$$

Factor

$$\frac{1}{2 ^ {5} \cdot 3 \cdot 11 ^ {2}} = 8.608815426997245 \times 10^{-5}$$