How to solve 10/3 / (- 35/12)

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 10/3 / (- 35/12) | Equatix

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$$\frac{10}{3}\div\frac{-35}{12}$$

$-\frac{8}{7}\approx -1.142857143$

Divide $\frac{10}{3}$ by $\frac{-35}{12}$ by multiplying $\frac{10}{3}$ by the reciprocal of $\frac{-35}{12}$.

$$\frac{10\times 12}{3\left(-35\right)}$$

Cancel out $3\times 5$ in both numerator and denominator.

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

Multiply $2$ and $4$ to get $8$.

$$\frac{8}{-7}$$

Fraction $\frac{8}{-7}$ can be rewritten as $-\frac{8}{7}$ by extracting the negative sign.

$$-\frac{8}{7}$$

$-\frac{8}{7} = -1\frac{1}{7} = -1.1428571428571428$