Solve 15*6/2pi^2-6.4/2pi^2

$$\frac{ 15 \cdot 6 }{ 2 } { \pi }^{ 2 } - \frac{ 6.4 }{ 2 } { \pi }^{ 2 }$$

Evaluate

$$\frac{209\pi ^{2}}{5}\approx 412.549463966$$

Solution Steps

Multiply 15 and 6 to get 90.

$$\frac{90}{2}\pi ^{2}-\frac{6.4}{2}\pi ^{2}$$

Divide 90 by 2 to get 45.

$$45\pi ^{2}-\frac{6.4}{2}\pi ^{2}$$

Expand \frac{6.4}{2} by multiplying both numerator and the denominator by 10.

$$45\pi ^{2}-\frac{64}{20}\pi ^{2}$$

Reduce the fraction \frac{64}{20} to lowest terms by extracting and canceling out 4.

$$45\pi ^{2}-\frac{16}{5}\pi ^{2}$$

Combine 45\pi ^{2} and -\frac{16}{5}\pi ^{2} to get \frac{209}{5}\pi ^{2}.

$$\frac{209}{5}\pi ^{2}$$