Solve 0.425pi^2200/12left(1-0.09right)/left(3div24right)^2

$$\frac{ \frac{ 0.425 { \pi }^{ 2 } 200 }{ 12 \left( 1-0.09 \right) } }{ { \left(3 \div 24 \right) }^{ 2 } }$$

Evaluate

$$\frac{136000\pi ^{2}}{273}\approx 4916.726002008$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{0.425\times 50\pi ^{2}}{3\left(1-0.09\right)}}{\left(\frac{3}{24}\right)^{2}}$$

Multiply 0.425 and 50 to get 21.25.

$$\frac{\frac{21.25\pi ^{2}}{3\left(1-0.09\right)}}{\left(\frac{3}{24}\right)^{2}}$$

Subtract 0.09 from 1 to get 0.91.

$$\frac{\frac{21.25\pi ^{2}}{3\times 0.91}}{\left(\frac{3}{24}\right)^{2}}$$

Multiply 3 and 0.91 to get 2.73.

$$\frac{\frac{21.25\pi ^{2}}{2.73}}{\left(\frac{3}{24}\right)^{2}}$$

Divide 21.25\pi ^{2} by 2.73 to get \frac{2125}{273}\pi ^{2}.

$$\frac{\frac{2125}{273}\pi ^{2}}{\left(\frac{3}{24}\right)^{2}}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{2125}{273}\pi ^{2}}{\left(\frac{1}{8}\right)^{2}}$$

Calculate \frac{1}{8} to the power of 2 and get \frac{1}{64}.

$$\frac{\frac{2125}{273}\pi ^{2}}{\frac{1}{64}}$$

Divide \frac{2125}{273}\pi ^{2} by \frac{1}{64} by multiplying \frac{2125}{273}\pi ^{2} by the reciprocal of \frac{1}{64}.

$$\frac{2125}{273}\pi ^{2}\times 64$$

Multiply \frac{2125}{273} and 64 to get \frac{136000}{273}.

$$\frac{136000}{273}\pi ^{2}$$

Expand

$$\frac{136000 \pi ^ {2}}{273} = 4916.726002007885$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{0.425\times 50\pi ^{2}}{3\left(1-0.09\right)}}{\left(\frac{3}{24}\right)^{2}}$$

Multiply 0.425 and 50 to get 21.25.

$$\frac{\frac{21.25\pi ^{2}}{3\left(1-0.09\right)}}{\left(\frac{3}{24}\right)^{2}}$$

Subtract 0.09 from 1 to get 0.91.

$$\frac{\frac{21.25\pi ^{2}}{3\times 0.91}}{\left(\frac{3}{24}\right)^{2}}$$

Multiply 3 and 0.91 to get 2.73.

$$\frac{\frac{21.25\pi ^{2}}{2.73}}{\left(\frac{3}{24}\right)^{2}}$$

Divide 21.25\pi ^{2} by 2.73 to get \frac{2125}{273}\pi ^{2}.

$$\frac{\frac{2125}{273}\pi ^{2}}{\left(\frac{3}{24}\right)^{2}}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{2125}{273}\pi ^{2}}{\left(\frac{1}{8}\right)^{2}}$$

Calculate \frac{1}{8} to the power of 2 and get \frac{1}{64}.

$$\frac{\frac{2125}{273}\pi ^{2}}{\frac{1}{64}}$$

Divide \frac{2125}{273}\pi ^{2} by \frac{1}{64} by multiplying \frac{2125}{273}\pi ^{2} by the reciprocal of \frac{1}{64}.

$$\frac{2125}{273}\pi ^{2}\times 64$$

Multiply \frac{2125}{273} and 64 to get \frac{136000}{273}.

$$\frac{136000}{273}\pi ^{2}$$