How to solve 4/8 + 1/6 + 2/7

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 4/8 + 1/6 + 2/7 | Equatix

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Question

$$\frac{4}{8}+\frac{1}{6}+\frac{2}{7}$$

Evaluate

$\frac{20}{21}\approx 0.952380952$

Solution Steps

Reduce the fraction $\frac{4}{8}$ to lowest terms by extracting and canceling out $4$.

$$\frac{1}{2}+\frac{1}{6}+\frac{2}{7}$$

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

$$\frac{3}{6}+\frac{1}{6}+\frac{2}{7}$$

Since $\frac{3}{6}$ and $\frac{1}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{3+1}{6}+\frac{2}{7}$$

Add $3$ and $1$ to get $4$.

$$\frac{4}{6}+\frac{2}{7}$$

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

$$\frac{2}{3}+\frac{2}{7}$$

Least common multiple of $3$ and $7$ is $21$. Convert $\frac{2}{3}$ and $\frac{2}{7}$ to fractions with denominator $21$.

$$\frac{14}{21}+\frac{6}{21}$$

Since $\frac{14}{21}$ and $\frac{6}{21}$ have the same denominator, add them by adding their numerators.

$$\frac{14+6}{21}$$

Add $14$ and $6$ to get $20$.

$$\frac{20}{21}$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5}{3 \cdot 7} = 0.9523809523809523$