How to solve 5/2 / (- 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 5/2 / (- 3/4) | Equatix

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$$\frac{5}{2}\div\frac{-3}{4}$$

$-\frac{10}{3}\approx -3.333333333$

Divide $\frac{5}{2}$ by $\frac{-3}{4}$ by multiplying $\frac{5}{2}$ by the reciprocal of $\frac{-3}{4}$.

$$\frac{5\times 4}{2\left(-3\right)}$$

Cancel out $2$ in both numerator and denominator.

$$\frac{2\times 5}{-3}$$

Multiply $2$ and $5$ to get $10$.

$$\frac{10}{-3}$$

Fraction $\frac{10}{-3}$ can be rewritten as $-\frac{10}{3}$ by extracting the negative sign.

$$-\frac{10}{3}$$

$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$