Solve 75div360(2pi4.5)

$$75 \div 360(2 \pi 4.5)$$

Evaluate

$$\frac{15\pi }{8}\approx 5.890486225$$

Solution Steps

Reduce the fraction \frac{75}{360} to lowest terms by extracting and canceling out 15.

$$\frac{5}{24}\times 2\pi \times 4.5$$

Express \frac{5}{24}\times 2 as a single fraction.

$$\frac{5\times 2}{24}\pi \times 4.5$$

Multiply 5 and 2 to get 10.

$$\frac{10}{24}\pi \times 4.5$$

Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.

$$\frac{5}{12}\pi \times 4.5$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{12}\pi \times \frac{9}{2}$$

Multiply \frac{5}{12} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 9}{12\times 2}\pi$$

Do the multiplications in the fraction \frac{5\times 9}{12\times 2}.

$$\frac{45}{24}\pi$$

Reduce the fraction \frac{45}{24} to lowest terms by extracting and canceling out 3.

$$\frac{15}{8}\pi$$