Solve 10*10^-6/41.02*868/1000*3600

$$\frac { 10 \times 10 ^ { - 6 } } { 41.02 } \times \frac { 868 } { 1000 } \times 3600$$

Evaluate

$$\frac{279}{366250}\approx 0.000761775$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and -6 to get -5.

$$\frac{10^{-5}}{41.02}\times \frac{868}{1000}\times 3600$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{\frac{1}{100000}}{41.02}\times \frac{868}{1000}\times 3600$$

Express \frac{\frac{1}{100000}}{41.02} as a single fraction.

$$\frac{1}{100000\times 41.02}\times \frac{868}{1000}\times 3600$$

Multiply 100000 and 41.02 to get 4102000.

$$\frac{1}{4102000}\times \frac{868}{1000}\times 3600$$

Reduce the fraction \frac{868}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4102000}\times \frac{217}{250}\times 3600$$

Multiply \frac{1}{4102000} and \frac{217}{250} to get \frac{31}{146500000}.

$$\frac{31}{146500000}\times 3600$$

Multiply \frac{31}{146500000} and 3600 to get \frac{279}{366250}.

$$\frac{279}{366250}$$

Factor

$$\frac{31 \cdot 3 ^ {2}}{2 \cdot 293 \cdot 5 ^ {4}} = 0.0007617747440273037$$