How to solve 1/3 + 1/6 + 1/9

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 + 1/6 + 1/9 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{1}{3}+\frac{1}{6}+\frac{1}{9}$$

Evaluate

$\frac{11}{18}\approx 0.611111111$

Solution Steps

Least common multiple of $3$ and $6$ is $6$. Convert $\frac{1}{3}$ and $\frac{1}{6}$ to fractions with denominator $6$.

$$\frac{2}{6}+\frac{1}{6}+\frac{1}{9}$$

Since $\frac{2}{6}$ and $\frac{1}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{2+1}{6}+\frac{1}{9}$$

Add $2$ and $1$ to get $3$.

$$\frac{3}{6}+\frac{1}{9}$$

Reduce the fraction $\frac{3}{6}$ to lowest terms by extracting and canceling out $3$.

$$\frac{1}{2}+\frac{1}{9}$$

Least common multiple of $2$ and $9$ is $18$. Convert $\frac{1}{2}$ and $\frac{1}{9}$ to fractions with denominator $18$.

$$\frac{9}{18}+\frac{2}{18}$$

Since $\frac{9}{18}$ and $\frac{2}{18}$ have the same denominator, add them by adding their numerators.

$$\frac{9+2}{18}$$

Add $9$ and $2$ to get $11$.

$$\frac{11}{18}$$

Show Solution

Factor

$\frac{11}{2 \cdot 3 ^ {2}} = 0.6111111111111112$