How to solve 2/5 - (- 5)/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 2/5 - (- 5)/12 | Equatix

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$$\frac{2}{5}-\frac{(-5)}{12}$$

$\frac{49}{60}\approx 0.816666667$

Fraction $\frac{-5}{12}$ can be rewritten as $-\frac{5}{12}$ by extracting the negative sign.

$$\frac{2}{5}-\left(-\frac{5}{12}\right)$$

The opposite of $-\frac{5}{12}$ is $\frac{5}{12}$.

$$\frac{2}{5}+\frac{5}{12}$$

Least common multiple of $5$ and $12$ is $60$. Convert $\frac{2}{5}$ and $\frac{5}{12}$ to fractions with denominator $60$.

$$\frac{24}{60}+\frac{25}{60}$$

Since $\frac{24}{60}$ and $\frac{25}{60}$ have the same denominator, add them by adding their numerators.

$$\frac{24+25}{60}$$

Add $24$ and $25$ to get $49$.

$$\frac{49}{60}$$

$\frac{7 ^ {2}}{2 ^ {2} \cdot 3 \cdot 5} = 0.8166666666666667$