Solve 200*108/100*108*108/100

$$200 \times \frac { 108 } { 100 } \times \frac { 108 \times 108 } { 100 }$$

Evaluate

$$\frac{629856}{25}=25194.24$$

Solution Steps

Reduce the fraction \frac{108}{100} to lowest terms by extracting and canceling out 4.

$$200\times \frac{27}{25}\times \frac{108\times 108}{100}$$

Express 200\times \frac{27}{25} as a single fraction.

$$\frac{200\times 27}{25}\times \frac{108\times 108}{100}$$

Multiply 200 and 27 to get 5400.

$$\frac{5400}{25}\times \frac{108\times 108}{100}$$

Divide 5400 by 25 to get 216.

$$216\times \frac{108\times 108}{100}$$

Multiply 108 and 108 to get 11664.

$$216\times \frac{11664}{100}$$

Reduce the fraction \frac{11664}{100} to lowest terms by extracting and canceling out 4.

$$216\times \frac{2916}{25}$$

Express 216\times \frac{2916}{25} as a single fraction.

$$\frac{216\times 2916}{25}$$

Multiply 216 and 2916 to get 629856.

$$\frac{629856}{25}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {9}}{5 ^ {2}} = 25194\frac{6}{25} = 25194.24$$