Solve 5/3pi*15.62

$$\frac{ 5 }{ 3 } \pi \times 15.62$$

Evaluate

$$\frac{781\pi }{30}\approx 81.786128748$$

Solution Steps

Convert decimal number 15.62 to fraction \frac{1562}{100}. Reduce the fraction \frac{1562}{100} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}\pi \times \frac{781}{50}$$

Multiply \frac{5}{3} times \frac{781}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 781}{3\times 50}\pi$$

Do the multiplications in the fraction \frac{5\times 781}{3\times 50}.

$$\frac{3905}{150}\pi$$

Reduce the fraction \frac{3905}{150} to lowest terms by extracting and canceling out 5.

$$\frac{781}{30}\pi$$