Solve frac{3sqrt{36}}{100}*40=

$$\frac{ 3 \sqrt{ 36 } }{ 100 } \times 40=$$

Evaluate

$$\frac{36}{5}=7.2$$

Solution Steps

Calculate the square root of 36 and get 6.

$$40\times \frac{3\times 6}{100}$$

Multiply 3 and 6 to get 18.

$$40\times \frac{18}{100}$$

Reduce the fraction \frac{18}{100} to lowest terms by extracting and canceling out 2.

$$40\times \frac{9}{50}$$

Express 40\times \frac{9}{50} as a single fraction.

$$\frac{40\times 9}{50}$$

Multiply 40 and 9 to get 360.

$$\frac{360}{50}$$

Reduce the fraction \frac{360}{50} to lowest terms by extracting and canceling out 10.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$