How to solve 5/6 - 4/9 + 2/3

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 - 4/9 + 2/3 | Equatix

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$$\frac{5}{6}-\frac{4}{9}+\frac{2}{3}$$

$\frac{19}{18}\approx 1.055555556$

Least common multiple of $6$ and $9$ is $18$. Convert $\frac{5}{6}$ and $\frac{4}{9}$ to fractions with denominator $18$.

$$\frac{15}{18}-\frac{8}{18}+\frac{2}{3}$$

Since $\frac{15}{18}$ and $\frac{8}{18}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{18}+\frac{2}{3}$$

Subtract $8$ from $15$ to get $7$.

$$\frac{7}{18}+\frac{2}{3}$$

Least common multiple of $18$ and $3$ is $18$. Convert $\frac{7}{18}$ and $\frac{2}{3}$ to fractions with denominator $18$.

$$\frac{7}{18}+\frac{12}{18}$$

Since $\frac{7}{18}$ and $\frac{12}{18}$ have the same denominator, add them by adding their numerators.

$$\frac{7+12}{18}$$

Add $7$ and $12$ to get $19$.

$$\frac{19}{18}$$

$\frac{19}{2 \cdot 3 ^ {2}} = 1\frac{1}{18} = 1.0555555555555556$