How to solve 2/7 * (1/4 + 3/8)

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 2/7 * (1/4 + 3/8) | Equatix

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$$\frac{2}{7}\times(\frac{1}{4}+\frac{3}{8})$$

$\frac{5}{28}\approx 0.178571429$

Least common multiple of $4$ and $8$ is $8$. Convert $\frac{1}{4}$ and $\frac{3}{8}$ to fractions with denominator $8$.

$$\frac{2}{7}\left(\frac{2}{8}+\frac{3}{8}\right)$$

Since $\frac{2}{8}$ and $\frac{3}{8}$ have the same denominator, add them by adding their numerators.

$$\frac{2}{7}\times \frac{2+3}{8}$$

Add $2$ and $3$ to get $5$.

$$\frac{2}{7}\times \frac{5}{8}$$

Multiply $\frac{2}{7}$ times $\frac{5}{8}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{7\times 8}$$

Do the multiplications in the fraction $\frac{2\times 5}{7\times 8}$.

$$\frac{10}{56}$$

Reduce the fraction $\frac{10}{56}$ to lowest terms by extracting and canceling out $2$.

$$\frac{5}{28}$$

$\frac{5}{2 ^ {2} \cdot 7} = 0.17857142857142858$