How to solve -2+2/6+4+5/6

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve -2+2/6+4+5/6 | Equatix

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Question

$$-2+2/6+4+5/6$$

Evaluate

$\frac{19}{6}\approx 3.166666667$

Solution Steps

Reduce the fraction $\frac{2}{6}$ to lowest terms by extracting and canceling out $2$.

$$-2+\frac{1}{3}+4+\frac{5}{6}$$

Convert $-2$ to fraction $-\frac{6}{3}$.

$$-\frac{6}{3}+\frac{1}{3}+4+\frac{5}{6}$$

Since $-\frac{6}{3}$ and $\frac{1}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{-6+1}{3}+4+\frac{5}{6}$$

Add $-6$ and $1$ to get $-5$.

$$-\frac{5}{3}+4+\frac{5}{6}$$

Convert $4$ to fraction $\frac{12}{3}$.

$$-\frac{5}{3}+\frac{12}{3}+\frac{5}{6}$$

Since $-\frac{5}{3}$ and $\frac{12}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{-5+12}{3}+\frac{5}{6}$$

Add $-5$ and $12$ to get $7$.

$$\frac{7}{3}+\frac{5}{6}$$

Least common multiple of $3$ and $6$ is $6$. Convert $\frac{7}{3}$ and $\frac{5}{6}$ to fractions with denominator $6$.

$$\frac{14}{6}+\frac{5}{6}$$

Since $\frac{14}{6}$ and $\frac{5}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{14+5}{6}$$

Add $14$ and $5$ to get $19$.

$$\frac{19}{6}$$

Show Solution

Factor

$\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665$