Solve 16/15pi/frac{3{20}pi}

$$\frac{ \frac{ 16 }{ 15 } \pi }{ \frac{ 3 }{ 20 } \pi }$$

Evaluate

$$\frac{64}{9}\approx 7.111111111$$

Solution Steps

Cancel out \pi in both numerator and denominator.

$$\frac{\frac{16}{15}}{\frac{3}{20}}$$

Divide \frac{16}{15} by \frac{3}{20} by multiplying \frac{16}{15} by the reciprocal of \frac{3}{20}.

$$\frac{16}{15}\times \frac{20}{3}$$

Multiply \frac{16}{15} times \frac{20}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 20}{15\times 3}$$

Do the multiplications in the fraction \frac{16\times 20}{15\times 3}.

$$\frac{320}{45}$$

Reduce the fraction \frac{320}{45} to lowest terms by extracting and canceling out 5.

$$\frac{64}{9}$$

Factor

$$\frac{2 ^ {6}}{3 ^ {2}} = 7\frac{1}{9} = 7.111111111111111$$