Solve 44/5div52/9

$$4 \frac{ 4 }{ 5 } \div 5 \frac{ 2 }{ 9 }$$

Evaluate

$$\frac{216}{235}\approx 0.919148936$$

Solution Steps

Divide \frac{4\times 5+4}{5} by \frac{5\times 9+2}{9} by multiplying \frac{4\times 5+4}{5} by the reciprocal of \frac{5\times 9+2}{9}.

$$\frac{\left(4\times 5+4\right)\times 9}{5\left(5\times 9+2\right)}$$

Multiply 4 and 5 to get 20.

$$\frac{\left(20+4\right)\times 9}{5\left(5\times 9+2\right)}$$

Add 20 and 4 to get 24.

$$\frac{24\times 9}{5\left(5\times 9+2\right)}$$

Multiply 24 and 9 to get 216.

$$\frac{216}{5\left(5\times 9+2\right)}$$

Multiply 5 and 9 to get 45.

$$\frac{216}{5\left(45+2\right)}$$

Add 45 and 2 to get 47.

$$\frac{216}{5\times 47}$$

Multiply 5 and 47 to get 235.

$$\frac{216}{235}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {3}}{5 \cdot 47} = 0.9191489361702128$$