Solve 4/5*6/9div2/3

$$\frac{ 4 }{ 5 } \times \frac{ 6 }{ 9 } \div \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{4}{5}\times \frac{2}{3}}{\frac{2}{3}}$$

Multiply \frac{4}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4\times 2}{5\times 3}}{\frac{2}{3}}$$

Do the multiplications in the fraction \frac{4\times 2}{5\times 3}.

$$\frac{\frac{8}{15}}{\frac{2}{3}}$$

Divide \frac{8}{15} by \frac{2}{3} by multiplying \frac{8}{15} by the reciprocal of \frac{2}{3}.

$$\frac{8}{15}\times \frac{3}{2}$$

Multiply \frac{8}{15} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 3}{15\times 2}$$

Do the multiplications in the fraction \frac{8\times 3}{15\times 2}.

$$\frac{24}{30}$$

Reduce the fraction \frac{24}{30} to lowest terms by extracting and canceling out 6.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$