Resolver -11/12+3y+5/12y-4+1/12y

$$- \frac { 11 } { 12 } + 3 y + \frac { 5 } { 12 } y - 4 + \frac { 1 } { 12 } y$$

Calcular

$$\frac{7y}{2}-\frac{59}{12}$$

Pasos da solución

Combina 3y e \frac{5}{12}y para obter \frac{41}{12}y.

$$-\frac{11}{12}+\frac{41}{12}y-4+\frac{1}{12}y$$

Converter 4 á fracción \frac{48}{12}.

$$-\frac{11}{12}+\frac{41}{12}y-\frac{48}{12}+\frac{1}{12}y$$

Dado que -\frac{11}{12} e \frac{48}{12} teñen o mesmo denominador, réstaos mediante a resta dos seus numeradores.

$$\frac{-11-48}{12}+\frac{41}{12}y+\frac{1}{12}y$$

Resta 48 de -11 para obter -59.

$$-\frac{59}{12}+\frac{41}{12}y+\frac{1}{12}y$$

Combina \frac{41}{12}y e \frac{1}{12}y para obter \frac{7}{2}y.

$$-\frac{59}{12}+\frac{7}{2}y$$

Factorizar

$$\frac{42y-59}{12}$$

Pasos da solución

Factoriza \frac{1}{12}.

$$\frac{-59+42y}{12}$$

Considera -11+36y+5y-48+y. Multiplica e combina termos semellantes.

$$42y-59$$

Reescribe a expresión factorizada completa.

$$\frac{42y-59}{12}$$