Resolver 42/5div41/2

$$4 \frac { 2 } { 5 } \div 4 \frac { 1 } { 2 }$$

Calcular

$$\frac{44}{45}\approx 0.977777778$$

Pasos da solución

Divide \frac{4\times 5+2}{5} entre \frac{4\times 2+1}{2} mediante a multiplicación de \frac{4\times 5+2}{5} polo recíproco de \frac{4\times 2+1}{2}.

$$\frac{\left(4\times 5+2\right)\times 2}{5\left(4\times 2+1\right)}$$

Multiplica 4 e 5 para obter 20.

$$\frac{\left(20+2\right)\times 2}{5\left(4\times 2+1\right)}$$

Suma 20 e 2 para obter 22.

$$\frac{22\times 2}{5\left(4\times 2+1\right)}$$

Multiplica 22 e 2 para obter 44.

$$\frac{44}{5\left(4\times 2+1\right)}$$

Multiplica 4 e 2 para obter 8.

$$\frac{44}{5\left(8+1\right)}$$

Suma 8 e 1 para obter 9.

$$\frac{44}{5\times 9}$$

Multiplica 5 e 9 para obter 45.

$$\frac{44}{45}$$

Factorizar

$$\frac{2 ^ {2} \cdot 11}{3 ^ {2} \cdot 5} = 0.9777777777777777$$