How to solve - 9/2 - (- 7/4)

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 - 9/2 - (- 7/4) | Equatix

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$$-\frac{9}{2}-(\frac{-7}{4})$$

$-\frac{11}{4}=-2.75$

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

$$-\frac{9}{2}-\left(-\frac{7}{4}\right)$$

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

$$-\frac{9}{2}+\frac{7}{4}$$

Least common multiple of $2$ and $4$ is $4$. Convert $-\frac{9}{2}$ and $\frac{7}{4}$ to fractions with denominator $4$.

$$-\frac{18}{4}+\frac{7}{4}$$

Since $-\frac{18}{4}$ and $\frac{7}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{-18+7}{4}$$

Add $-18$ and $7$ to get $-11$.

$$-\frac{11}{4}$$

$-\frac{11}{4} = -2\frac{3}{4} = -2.75$