How to solve (-3)/(2)-(-4)/(7)

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 (-3)/(2)-(-4)/(7) | Equatix

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$$\frac{ -3 }{ 2 } - \frac{ -4 }{ 7 }$$

$-\frac{13}{14}\approx -0.928571429$

Fraction $\frac{-3}{2}$ can be rewritten as $-\frac{3}{2}$ by extracting the negative sign.

$$-\frac{3}{2}-\frac{-4}{7}$$

Fraction $\frac{-4}{7}$ can be rewritten as $-\frac{4}{7}$ by extracting the negative sign.

$$-\frac{3}{2}-\left(-\frac{4}{7}\right)$$

The opposite of $-\frac{4}{7}$ is $\frac{4}{7}$.

$$-\frac{3}{2}+\frac{4}{7}$$

Least common multiple of $2$ and $7$ is $14$. Convert $-\frac{3}{2}$ and $\frac{4}{7}$ to fractions with denominator $14$.

$$-\frac{21}{14}+\frac{8}{14}$$

Since $-\frac{21}{14}$ and $\frac{8}{14}$ have the same denominator, add them by adding their numerators.

$$\frac{-21+8}{14}$$

Add $-21$ and $8$ to get $-13$.

$$-\frac{13}{14}$$

$-\frac{13}{14} = -0.9285714285714286$