How to solve 2/3 - (- 4)/7

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 2/3 - (- 4)/7 | Equatix

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$$\frac{2}{3}-\frac{(-4)}{7}$$

$\frac{26}{21}\approx 1.238095238$

Fraction $\frac{-4}{7}$ can be rewritten as $-\frac{4}{7}$ by extracting the negative sign.

$$\frac{2}{3}-\left(-\frac{4}{7}\right)$$

The opposite of $-\frac{4}{7}$ is $\frac{4}{7}$.

$$\frac{2}{3}+\frac{4}{7}$$

Least common multiple of $3$ and $7$ is $21$. Convert $\frac{2}{3}$ and $\frac{4}{7}$ to fractions with denominator $21$.

$$\frac{14}{21}+\frac{12}{21}$$

Since $\frac{14}{21}$ and $\frac{12}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{14+12}{21}$$

Add $14$ and $12$ to get $26$.

$$\frac{26}{21}$$

$\frac{2 \cdot 13}{3 \cdot 7} = 1\frac{5}{21} = 1.2380952380952381$