How to solve 1/4+3/6+2/3

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 1/4+3/6+2/3 | Equatix

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Question

$$1/4+3/6+2/3$$

Evaluate

$\frac{17}{12}\approx 1.416666667$

Solution Steps

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

$$\frac{1}{4}+\frac{1}{2}+\frac{2}{3}$$

Least common multiple of $4$ and $2$ is $4$. Convert $\frac{1}{4}$ and $\frac{1}{2}$ to fractions with denominator $4$.

$$\frac{1}{4}+\frac{2}{4}+\frac{2}{3}$$

Since $\frac{1}{4}$ and $\frac{2}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{1+2}{4}+\frac{2}{3}$$

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

$$\frac{3}{4}+\frac{2}{3}$$

Least common multiple of $4$ and $3$ is $12$. Convert $\frac{3}{4}$ and $\frac{2}{3}$ to fractions with denominator $12$.

$$\frac{9}{12}+\frac{8}{12}$$

Since $\frac{9}{12}$ and $\frac{8}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{9+8}{12}$$

Add $9$ and $8$ to get $17$.

$$\frac{17}{12}$$

Show Solution

Factor

$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$