How to solve 3/13 / (- 4/65)

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 3/13 / (- 4/65) | Equatix

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$$\frac{3}{13}\div(\frac{-4}{65})$$

$-\frac{15}{4}=-3.75$

Divide $\frac{3}{13}$ by $\frac{-4}{65}$ by multiplying $\frac{3}{13}$ by the reciprocal of $\frac{-4}{65}$.

$$\frac{3\times 65}{13\left(-4\right)}$$

Cancel out $13$ in both numerator and denominator.

$$\frac{3\times 5}{-4}$$

Multiply $3$ and $5$ to get $15$.

$$\frac{15}{-4}$$

Fraction $\frac{15}{-4}$ can be rewritten as $-\frac{15}{4}$ by extracting the negative sign.

$$-\frac{15}{4}$$

$-\frac{15}{4} = -3\frac{3}{4} = -3.75$