Resolver 31/12div21/6

$$3 \frac { 1 } { 12 } \div 2 \frac { 1 } { 6 }$$

Calcular

$$\frac{37}{26}\approx 1.423076923$$

Pasos da solución

Divide \frac{3\times 12+1}{12} entre \frac{2\times 6+1}{6} mediante a multiplicación de \frac{3\times 12+1}{12} polo recíproco de \frac{2\times 6+1}{6}.

$$\frac{\left(3\times 12+1\right)\times 6}{12\left(2\times 6+1\right)}$$

Anula 6 no numerador e no denominador.

$$\frac{1+3\times 12}{2\left(1+2\times 6\right)}$$

Multiplica 3 e 12 para obter 36.

$$\frac{1+36}{2\left(1+2\times 6\right)}$$

Suma 1 e 36 para obter 37.

$$\frac{37}{2\left(1+2\times 6\right)}$$

Multiplica 2 e 6 para obter 12.

$$\frac{37}{2\left(1+12\right)}$$

Suma 1 e 12 para obter 13.

$$\frac{37}{2\times 13}$$

Multiplica 2 e 13 para obter 26.

$$\frac{37}{26}$$

Factorizar

$$\frac{37}{2 \cdot 13} = 1\frac{11}{26} = 1.4230769230769231$$