Resolver 241/6:35/9

$$24 \frac { 1 } { 6 } : 3 \frac { 5 } { 9 }$$

Calcular

$$\frac{435}{64}=6.796875$$

Pasos da solución

Divide \frac{24\times 6+1}{6} entre \frac{3\times 9+5}{9} mediante a multiplicación de \frac{24\times 6+1}{6} polo recíproco de \frac{3\times 9+5}{9}.

$$\frac{\left(24\times 6+1\right)\times 9}{6\left(3\times 9+5\right)}$$

Anula 3 no numerador e no denominador.

$$\frac{3\left(1+6\times 24\right)}{2\left(5+3\times 9\right)}$$

Multiplica 6 e 24 para obter 144.

$$\frac{3\left(1+144\right)}{2\left(5+3\times 9\right)}$$

Suma 1 e 144 para obter 145.

$$\frac{3\times 145}{2\left(5+3\times 9\right)}$$

Multiplica 3 e 145 para obter 435.

$$\frac{435}{2\left(5+3\times 9\right)}$$

Multiplica 3 e 9 para obter 27.

$$\frac{435}{2\left(5+27\right)}$$

Suma 5 e 27 para obter 32.

$$\frac{435}{2\times 32}$$

Multiplica 2 e 32 para obter 64.

$$\frac{435}{64}$$

Factorizar

$$\frac{3 \cdot 5 \cdot 29}{2 ^ {6}} = 6\frac{51}{64} = 6.796875$$