How to solve - 1/7 + 2/3 + 1/3

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 - 1/7 + 2/3 + 1/3 | Equatix

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Question

$$\frac{-1}{7}+\frac{2}{3}+\frac{1}{3}$$

Evaluate

$\frac{6}{7}\approx 0.857142857$

Solution Steps

Fraction $\frac{-1}{7}$ can be rewritten as $-\frac{1}{7}$ by extracting the negative sign.

$$-\frac{1}{7}+\frac{2}{3}+\frac{1}{3}$$

Least common multiple of $7$ and $3$ is $21$. Convert $-\frac{1}{7}$ and $\frac{2}{3}$ to fractions with denominator $21$.

$$-\frac{3}{21}+\frac{14}{21}+\frac{1}{3}$$

Since $-\frac{3}{21}$ and $\frac{14}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{-3+14}{21}+\frac{1}{3}$$

Add $-3$ and $14$ to get $11$.

$$\frac{11}{21}+\frac{1}{3}$$

Least common multiple of $21$ and $3$ is $21$. Convert $\frac{11}{21}$ and $\frac{1}{3}$ to fractions with denominator $21$.

$$\frac{11}{21}+\frac{7}{21}$$

Since $\frac{11}{21}$ and $\frac{7}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{11+7}{21}$$

Add $11$ and $7$ to get $18$.

$$\frac{18}{21}$$

Reduce the fraction $\frac{18}{21}$ to lowest terms by extracting and canceling out $3$.

$$\frac{6}{7}$$

Show Solution

Factor

$\frac{2 \cdot 3}{7} = 0.8571428571428571$