How to solve 1/2 - 2/3 + 3/4

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 1/2 - 2/3 + 3/4 | Equatix

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

$\frac{7}{12}\approx 0.583333333$

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

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

Since $\frac{3}{6}$ and $\frac{4}{6}$ have the same denominator, subtract them by subtracting their numerators.

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

Subtract $4$ from $3$ to get $-1$.

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

Least common multiple of $6$ and $4$ is $12$. Convert $-\frac{1}{6}$ and $\frac{3}{4}$ to fractions with denominator $12$.

$$-\frac{2}{12}+\frac{9}{12}$$

Since $-\frac{2}{12}$ and $\frac{9}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{-2+9}{12}$$

Add $-2$ and $9$ to get $7$.

$$\frac{7}{12}$$

$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$