Solve 21/2div32/3

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

Evaluate

$$\frac{15}{22}\approx 0.681818182$$

Solution Steps

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

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

Multiply 2 and 2 to get 4.

$$\frac{\left(4+1\right)\times 3}{2\left(3\times 3+2\right)}$$

Add 4 and 1 to get 5.

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

Multiply 5 and 3 to get 15.

$$\frac{15}{2\left(3\times 3+2\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{15}{2\left(9+2\right)}$$

Add 9 and 2 to get 11.

$$\frac{15}{2\times 11}$$

Multiply 2 and 11 to get 22.

$$\frac{15}{22}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 11} = 0.6818181818181818$$