Solve 45%text{of}2/5text{of}960

$$45 \% \text { of } \frac { 2 } { 5 } \text { of } 960$$

Evaluate

$$\frac{864}{5}=172.8$$

Solution Steps

Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$\frac{9}{20}\times \frac{2}{5}\times 960$$

Multiply \frac{9}{20} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{20\times 5}\times 960$$

Do the multiplications in the fraction \frac{9\times 2}{20\times 5}.

$$\frac{18}{100}\times 960$$

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

$$\frac{9}{50}\times 960$$

Express \frac{9}{50}\times 960 as a single fraction.

$$\frac{9\times 960}{50}$$

Multiply 9 and 960 to get 8640.

$$\frac{8640}{50}$$

Reduce the fraction \frac{8640}{50} to lowest terms by extracting and canceling out 10.

$$\frac{864}{5}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {3}}{5} = 172\frac{4}{5} = 172.8$$