How to solve 3/9 + 2/27 + 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 3/9 + 2/27 + 1/3 | Equatix

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Question

$$\frac{3}{9}+\frac{2}{27}+\frac{1}{3}$$

Evaluate

$\frac{20}{27}\approx 0.740740741$

Solution Steps

Reduce the fraction $\frac{3}{9}$ to lowest terms by extracting and canceling out $3$.

$$\frac{1}{3}+\frac{2}{27}+\frac{1}{3}$$

Least common multiple of $3$ and $27$ is $27$. Convert $\frac{1}{3}$ and $\frac{2}{27}$ to fractions with denominator $27$.

$$\frac{9}{27}+\frac{2}{27}+\frac{1}{3}$$

Since $\frac{9}{27}$ and $\frac{2}{27}$ have the same denominator, add them by adding their numerators.

$$\frac{9+2}{27}+\frac{1}{3}$$

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

$$\frac{11}{27}+\frac{1}{3}$$

Least common multiple of $27$ and $3$ is $27$. Convert $\frac{11}{27}$ and $\frac{1}{3}$ to fractions with denominator $27$.

$$\frac{11}{27}+\frac{9}{27}$$

Since $\frac{11}{27}$ and $\frac{9}{27}$ have the same denominator, add them by adding their numerators.

$$\frac{11+9}{27}$$

Add $11$ and $9$ to get $20$.

$$\frac{20}{27}$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5}{3 ^ {3}} = 0.7407407407407407$