How to solve 9/11+0.2+2/6

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 9/11+0.2+2/6 | Equatix

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Question

$$9/11+0.2+2/6$$

Evaluate

$\frac{223}{165}\approx 1.351515152$

Solution Steps

Convert decimal number $0.2$ to fraction $\frac{2}{10}$. Reduce the fraction $\frac{2}{10}$ to lowest terms by extracting and canceling out $2$.

$$\frac{9}{11}+\frac{1}{5}+\frac{2}{6}$$

Least common multiple of $11$ and $5$ is $55$. Convert $\frac{9}{11}$ and $\frac{1}{5}$ to fractions with denominator $55$.

$$\frac{45}{55}+\frac{11}{55}+\frac{2}{6}$$

Since $\frac{45}{55}$ and $\frac{11}{55}$ have the same denominator, add them by adding their numerators.

$$\frac{45+11}{55}+\frac{2}{6}$$

Add $45$ and $11$ to get $56$.

$$\frac{56}{55}+\frac{2}{6}$$

Reduce the fraction $\frac{2}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{56}{55}+\frac{1}{3}$$

Least common multiple of $55$ and $3$ is $165$. Convert $\frac{56}{55}$ and $\frac{1}{3}$ to fractions with denominator $165$.

$$\frac{168}{165}+\frac{55}{165}$$

Since $\frac{168}{165}$ and $\frac{55}{165}$ have the same denominator, add them by adding their numerators.

$$\frac{168+55}{165}$$

Add $168$ and $55$ to get $223$.

$$\frac{223}{165}$$

Show Solution

Factor

$\frac{223}{3 \cdot 5 \cdot 11} = 1\frac{58}{165} = 1.3515151515151516$