How to solve - 5/3 - 3/9 + 1/6

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 - 5/3 - 3/9 + 1/6 | Equatix

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Question

$$-\frac{5}{3}-\frac{3}{9}+\frac{1}{6}$$

Evaluate

$-\frac{11}{6}\approx -1.833333333$

Solution Steps

Reduce the fraction $\frac{3}{9}$ to lowest terms by extracting and canceling out $3$.

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

Since $-\frac{5}{3}$ and $\frac{1}{3}$ have the same denominator, subtract them by subtracting their numerators.

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

Subtract $1$ from $-5$ to get $-6$.

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

Divide $-6$ by $3$ to get $-2$.

$$-2+\frac{1}{6}$$

Convert $-2$ to fraction $-\frac{12}{6}$.

$$-\frac{12}{6}+\frac{1}{6}$$

Since $-\frac{12}{6}$ and $\frac{1}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{-12+1}{6}$$

Add $-12$ and $1$ to get $-11$.

$$-\frac{11}{6}$$

Show Solution

Factor

$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$