Solve 5*1000000/frac{1{10}*1.24pi*64^2}

$$\frac { 5 \times 1000000 } { \frac { 1 } { 10 } \times 1.24 \pi \times 64 ^ { 2 } }$$

Evaluate

$$\frac{9765625}{992\pi }\approx 3133.563490185$$

Solution Steps

Multiply 5 and 1000000 to get 5000000.

$$\frac{5000000}{\frac{1}{10}\times 1.24\pi \times 64^{2}}$$

Convert decimal number 1.24 to fraction \frac{124}{100}. Reduce the fraction \frac{124}{100} to lowest terms by extracting and canceling out 4.

$$\frac{5000000}{\frac{1}{10}\times \frac{31}{25}\pi \times 64^{2}}$$

Multiply \frac{1}{10} times \frac{31}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5000000}{\frac{1\times 31}{10\times 25}\pi \times 64^{2}}$$

Do the multiplications in the fraction \frac{1\times 31}{10\times 25}.

$$\frac{5000000}{\frac{31}{250}\pi \times 64^{2}}$$

Calculate 64 to the power of 2 and get 4096.

$$\frac{5000000}{\frac{31}{250}\pi \times 4096}$$

Express \frac{31}{250}\times 4096 as a single fraction.

$$\frac{5000000}{\frac{31\times 4096}{250}\pi }$$

Multiply 31 and 4096 to get 126976.

$$\frac{5000000}{\frac{126976}{250}\pi }$$

Reduce the fraction \frac{126976}{250} to lowest terms by extracting and canceling out 2.

$$\frac{5000000}{\frac{63488}{125}\pi }$$