Solve 18/5div22/3

$$1 \frac{ 8 }{ 5 } \div 2 \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{39}{40}=0.975$$

Solution Steps

Divide \frac{1\times 5+8}{5} by \frac{2\times 3+2}{3} by multiplying \frac{1\times 5+8}{5} by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{\left(1\times 5+8\right)\times 3}{5\left(2\times 3+2\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{\left(5+8\right)\times 3}{5\left(2\times 3+2\right)}$$

Add 5 and 8 to get 13.

$$\frac{13\times 3}{5\left(2\times 3+2\right)}$$

Multiply 13 and 3 to get 39.

$$\frac{39}{5\left(2\times 3+2\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{39}{5\left(6+2\right)}$$

Add 6 and 2 to get 8.

$$\frac{39}{5\times 8}$$

Multiply 5 and 8 to get 40.

$$\frac{39}{40}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {3} \cdot 5} = 0.975$$