How to solve 4/6 + 2/12 - 1/6

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 4/6 + 2/12 - 1/6 | Equatix

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Question

$$\frac{4}{6}+\frac{2}{12}-\frac{1}{6}$$

Evaluate

$\frac{2}{3}\approx 0.666666667$

Solution Steps

Reduce the fraction $\frac{4}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{2}{3}+\frac{2}{12}-\frac{1}{6}$$

Reduce the fraction $\frac{2}{12}$ to lowest terms by extracting and canceling out $2$.

$$\frac{2}{3}+\frac{1}{6}-\frac{1}{6}$$

Least common multiple of $3$ and $6$ is $6$. Convert $\frac{2}{3}$ and $\frac{1}{6}$ to fractions with denominator $6$.

$$\frac{4}{6}+\frac{1}{6}-\frac{1}{6}$$

Since $\frac{4}{6}$ and $\frac{1}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{4+1}{6}-\frac{1}{6}$$

Add $4$ and $1$ to get $5$.

$$\frac{5}{6}-\frac{1}{6}$$

Since $\frac{5}{6}$ and $\frac{1}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-1}{6}$$

Subtract $1$ from $5$ to get $4$.

$$\frac{4}{6}$$