How to solve 5/6+2/3-1/3

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 5/6+2/3-1/3 | Equatix

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Question

$$5/6+2/3-1/3$$

Evaluate

$\frac{7}{6}\approx 1.166666667$

Solution Steps

Least common multiple of $6$ and $3$ is $6$. Convert $\frac{5}{6}$ and $\frac{2}{3}$ to fractions with denominator $6$.

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

Since $\frac{5}{6}$ and $\frac{4}{6}$ have the same denominator, add them by adding their numerators.

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

Add $5$ and $4$ to get $9$.

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

Reduce the fraction $\frac{9}{6}$ to lowest terms by extracting and canceling out $3$.

$$\frac{3}{2}-\frac{1}{3}$$

Least common multiple of $2$ and $3$ is $6$. Convert $\frac{3}{2}$ and $\frac{1}{3}$ to fractions with denominator $6$.

$$\frac{9}{6}-\frac{2}{6}$$

Since $\frac{9}{6}$ and $\frac{2}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{6}$$

Subtract $2$ from $9$ to get $7$.

$$\frac{7}{6}$$

Show Solution

Factor

$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$