Resolver 31/2div21/9

$$3 \frac { 1 } { 2 } \div 2 \frac { 1 } { 9 }$$

Calcular

$$\frac{63}{38}\approx 1.657894737$$

Pasos da solución

Divide \frac{3\times 2+1}{2} entre \frac{2\times 9+1}{9} mediante a multiplicación de \frac{3\times 2+1}{2} polo recíproco de \frac{2\times 9+1}{9}.

$$\frac{\left(3\times 2+1\right)\times 9}{2\left(2\times 9+1\right)}$$

Multiplica 3 e 2 para obter 6.

$$\frac{\left(6+1\right)\times 9}{2\left(2\times 9+1\right)}$$

Suma 6 e 1 para obter 7.

$$\frac{7\times 9}{2\left(2\times 9+1\right)}$$

Multiplica 7 e 9 para obter 63.

$$\frac{63}{2\left(2\times 9+1\right)}$$

Multiplica 2 e 9 para obter 18.

$$\frac{63}{2\left(18+1\right)}$$

Suma 18 e 1 para obter 19.

$$\frac{63}{2\times 19}$$

Multiplica 2 e 19 para obter 38.

$$\frac{63}{38}$$

Factorizar

$$\frac{3 ^ {2} \cdot 7}{2 \cdot 19} = 1\frac{25}{38} = 1.6578947368421053$$