How to solve 1/3 - 1/18 + 1/21

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 1/3 - 1/18 + 1/21 | Equatix

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$$\frac{1}{3}-\frac{1}{18}+\frac{1}{21}$$

$\frac{41}{126}\approx 0.325396825$

Least common multiple of $3$ and $18$ is $18$. Convert $\frac{1}{3}$ and $\frac{1}{18}$ to fractions with denominator $18$.

$$\frac{6}{18}-\frac{1}{18}+\frac{1}{21}$$

Since $\frac{6}{18}$ and $\frac{1}{18}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{18}+\frac{1}{21}$$

Subtract $1$ from $6$ to get $5$.

$$\frac{5}{18}+\frac{1}{21}$$

Least common multiple of $18$ and $21$ is $126$. Convert $\frac{5}{18}$ and $\frac{1}{21}$ to fractions with denominator $126$.

$$\frac{35}{126}+\frac{6}{126}$$

Since $\frac{35}{126}$ and $\frac{6}{126}$ have the same denominator, add them by adding their numerators.

$$\frac{35+6}{126}$$

Add $35$ and $6$ to get $41$.

$$\frac{41}{126}$$

$\frac{41}{2 \cdot 3 ^ {2} \cdot 7} = 0.3253968253968254$