How to solve 5/6 - (- 3)/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 5/6 - (- 3)/7 | Equatix

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$$\frac{5}{6}-\frac{(-3)}{7}$$

$\frac{53}{42}\approx 1.261904762$

Fraction $\frac{-3}{7}$ can be rewritten as $-\frac{3}{7}$ by extracting the negative sign.

$$\frac{5}{6}-\left(-\frac{3}{7}\right)$$

The opposite of $-\frac{3}{7}$ is $\frac{3}{7}$.

$$\frac{5}{6}+\frac{3}{7}$$

Least common multiple of $6$ and $7$ is $42$. Convert $\frac{5}{6}$ and $\frac{3}{7}$ to fractions with denominator $42$.

$$\frac{35}{42}+\frac{18}{42}$$

Since $\frac{35}{42}$ and $\frac{18}{42}$ have the same denominator, add them by adding their numerators.

$$\frac{35+18}{42}$$

Add $35$ and $18$ to get $53$.

$$\frac{53}{42}$$

$\frac{53}{2 \cdot 3 \cdot 7} = 1\frac{11}{42} = 1.2619047619047619$