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

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

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

$\frac{95}{42}\approx 2.261904762$

Least common multiple of $2$ and $7$ is $14$. Convert $\frac{1}{2}$ and $\frac{3}{7}$ to fractions with denominator $14$.

$$\frac{7}{14}+\frac{6}{14}+\frac{4}{3}$$

Since $\frac{7}{14}$ and $\frac{6}{14}$ have the same denominator, add them by adding their numerators.

$$\frac{7+6}{14}+\frac{4}{3}$$

Add $7$ and $6$ to get $13$.

$$\frac{13}{14}+\frac{4}{3}$$

Least common multiple of $14$ and $3$ is $42$. Convert $\frac{13}{14}$ and $\frac{4}{3}$ to fractions with denominator $42$.

$$\frac{39}{42}+\frac{56}{42}$$

Since $\frac{39}{42}$ and $\frac{56}{42}$ have the same denominator, add them by adding their numerators.

$$\frac{39+56}{42}$$

Add $39$ and $56$ to get $95$.

$$\frac{95}{42}$$

$\frac{5 \cdot 19}{2 \cdot 3 \cdot 7} = 2\frac{11}{42} = 2.261904761904762$