How to solve - 3/4 - 3/6 - 7/6

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 - 3/4 - 3/6 - 7/6 | Equatix

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Question

$$-\frac{3}{4}+\frac{-3}{6}+-\frac{7}{6}$$

Evaluate

$-\frac{29}{12}\approx -2.416666667$

Solution Steps

Reduce the fraction $\frac{-3}{6}$ to lowest terms by extracting and canceling out $3$.

$$-\frac{3}{4}-\frac{1}{2}-\frac{7}{6}$$

Least common multiple of $4$ and $2$ is $4$. Convert $-\frac{3}{4}$ and $\frac{1}{2}$ to fractions with denominator $4$.

$$-\frac{3}{4}-\frac{2}{4}-\frac{7}{6}$$

Since $-\frac{3}{4}$ and $\frac{2}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-2}{4}-\frac{7}{6}$$

Subtract $2$ from $-3$ to get $-5$.

$$-\frac{5}{4}-\frac{7}{6}$$

Least common multiple of $4$ and $6$ is $12$. Convert $-\frac{5}{4}$ and $\frac{7}{6}$ to fractions with denominator $12$.

$$-\frac{15}{12}-\frac{14}{12}$$

Since $-\frac{15}{12}$ and $\frac{14}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-14}{12}$$

Subtract $14$ from $-15$ to get $-29$.

$$-\frac{29}{12}$$

Show Solution

Factor

$-\frac{29}{12} = -2\frac{5}{12} = -2.4166666666666665$