How to solve 2/4 * (3/6 + 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 2/4 * (3/6 + 2/7) | Equatix

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Question

$$\frac{2}{4}(\frac{3}{6}+\frac{2}{7})$$

Evaluate

$\frac{11}{28}\approx 0.392857143$

Solution Steps

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

$$\frac{1}{2}\left(\frac{3}{6}+\frac{2}{7}\right)$$

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

$$\frac{1}{2}\left(\frac{1}{2}+\frac{2}{7}\right)$$

Least common multiple of $2$ and $7$ is $14$. Convert $\frac{1}{2}$ and $\frac{2}{7}$ to fractions with denominator $14$.

$$\frac{1}{2}\left(\frac{7}{14}+\frac{4}{14}\right)$$

Since $\frac{7}{14}$ and $\frac{4}{14}$ have the same denominator, add them by adding their numerators.

$$\frac{1}{2}\times \frac{7+4}{14}$$

Add $7$ and $4$ to get $11$.

$$\frac{1}{2}\times \frac{11}{14}$$

Multiply $\frac{1}{2}$ times $\frac{11}{14}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 11}{2\times 14}$$

Do the multiplications in the fraction $\frac{1\times 11}{2\times 14}$.

$$\frac{11}{28}$$

Show Solution

Factor

$\frac{11}{2 ^ {2} \cdot 7} = 0.39285714285714285$