Solve 340m/8(1/10^3m)(36008/1h)=

$$340 \frac { m } { 8 } ( \frac { 1 } { 10 ^ { 3 } m } ) ( \frac { 36008 } { 1 } h ) =$$

Evaluate

$$\frac{76517h}{50}$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$340\times \frac{m}{8}\times \frac{1}{1000m}\times \frac{36008}{1}h$$

Anything divided by one gives itself.

$$340\times \frac{m}{8}\times \frac{1}{1000m}\times 36008h$$

Multiply 340 and 36008 to get 12242720.

$$12242720\times \frac{m}{8}\times \frac{1}{1000m}h$$

Cancel out 8, the greatest common factor in 12242720 and 8.

$$1530340m\times \frac{1}{1000m}h$$

Express 1530340m\times \frac{1}{1000m} as a single fraction.

$$\frac{1530340m}{1000m}h$$

Cancel out 20m in both numerator and denominator.

$$\frac{76517}{50}h$$

Express \frac{76517}{50}h as a single fraction.

$$\frac{76517h}{50}$$

Differentiate w.r.t. h

$$\frac{76517}{50} = 1530\frac{17}{50} = 1530.34$$