How to solve 3/7 / (- 2/5)

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 3/7 / (- 2/5) | Equatix

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

$-\frac{15}{14}\approx -1.071428571$

Divide $\frac{3}{7}$ by $\frac{-2}{5}$ by multiplying $\frac{3}{7}$ by the reciprocal of $\frac{-2}{5}$.

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

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

$$\frac{15}{7\left(-2\right)}$$

Multiply $7$ and $-2$ to get $-14$.

$$\frac{15}{-14}$$

Fraction $\frac{15}{-14}$ can be rewritten as $-\frac{15}{14}$ by extracting the negative sign.

$$-\frac{15}{14}$$

$-\frac{15}{14} = -1\frac{1}{14} = -1.0714285714285714$