Solve 150/180pilfloor10rfloor

$$\frac{ 150 }{ 180 } \pi \lfloor 10 \rfloor$$

Evaluate

$$\frac{25\pi }{3}\approx 26.17993878$$

Solution Steps

Reduce the fraction \frac{150}{180} to lowest terms by extracting and canceling out 30.

$$\frac{5}{6}\pi \lfloor 10\rfloor$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 10 is 10.

$$\frac{5}{6}\pi \times 10$$

Express \frac{5}{6}\times 10 as a single fraction.

$$\frac{5\times 10}{6}\pi$$

Multiply 5 and 10 to get 50.

$$\frac{50}{6}\pi$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}\pi$$