How to solve 5/2--7/3

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 5/2--7/3 | Equatix

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$$5/2--7/3$$

$\frac{29}{6}\approx 4.833333333$

Fraction $\frac{-7}{3}$ can be rewritten as $-\frac{7}{3}$ by extracting the negative sign.

$$\frac{5}{2}-\left(-\frac{7}{3}\right)$$

The opposite of $-\frac{7}{3}$ is $\frac{7}{3}$.

$$\frac{5}{2}+\frac{7}{3}$$

Least common multiple of $2$ and $3$ is $6$. Convert $\frac{5}{2}$ and $\frac{7}{3}$ to fractions with denominator $6$.

$$\frac{15}{6}+\frac{14}{6}$$

Since $\frac{15}{6}$ and $\frac{14}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{15+14}{6}$$

Add $15$ and $14$ to get $29$.

$$\frac{29}{6}$$

$\frac{29}{2 \cdot 3} = 4\frac{5}{6} = 4.833333333333333$