Resolver 21/2div32/3

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

Calcular

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

Pasos da solución

Divide \frac{2\times 2+1}{2} entre \frac{3\times 3+2}{3} mediante a multiplicación de \frac{2\times 2+1}{2} polo recíproco de \frac{3\times 3+2}{3}.

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

Multiplica 2 e 2 para obter 4.

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

Suma 4 e 1 para obter 5.

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

Multiplica 5 e 3 para obter 15.

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

Multiplica 3 e 3 para obter 9.

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

Suma 9 e 2 para obter 11.

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

Multiplica 2 e 11 para obter 22.

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

Factorizar

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