Solve 15*576/25/39

$$\frac { 15 \cdot \frac { 576 } { 25 } } { 39 }$$

Evaluate

$$\frac{576}{65}\approx 8.861538462$$

Solution Steps

Express 15\times \frac{576}{25} as a single fraction.

$$\frac{\frac{15\times 576}{25}}{39}$$

Multiply 15 and 576 to get 8640.

$$\frac{\frac{8640}{25}}{39}$$

Reduce the fraction \frac{8640}{25} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1728}{5}}{39}$$

Express \frac{\frac{1728}{5}}{39} as a single fraction.

$$\frac{1728}{5\times 39}$$

Multiply 5 and 39 to get 195.

$$\frac{1728}{195}$$

Reduce the fraction \frac{1728}{195} to lowest terms by extracting and canceling out 3.

$$\frac{576}{65}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2}}{5 \cdot 13} = 8\frac{56}{65} = 8.861538461538462$$