How to solve 1/2 + (4/5 + 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 1/2 + (4/5 + 2/3) | Equatix

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$$\frac{1}{2}+(\frac{4}{5}+\frac{2}{3})$$

$\frac{59}{30}\approx 1.966666667$

Least common multiple of $2$ and $5$ is $10$. Convert $\frac{1}{2}$ and $\frac{4}{5}$ to fractions with denominator $10$.

$$\frac{5}{10}+\frac{8}{10}+\frac{2}{3}$$

Since $\frac{5}{10}$ and $\frac{8}{10}$ have the same denominator, add them by adding their numerators.

$$\frac{5+8}{10}+\frac{2}{3}$$

Add $5$ and $8$ to get $13$.

$$\frac{13}{10}+\frac{2}{3}$$

Least common multiple of $10$ and $3$ is $30$. Convert $\frac{13}{10}$ and $\frac{2}{3}$ to fractions with denominator $30$.

$$\frac{39}{30}+\frac{20}{30}$$

Since $\frac{39}{30}$ and $\frac{20}{30}$ have the same denominator, add them by adding their numerators.

$$\frac{39+20}{30}$$

Add $39$ and $20$ to get $59$.

$$\frac{59}{30}$$

$\frac{59}{2 \cdot 3 \cdot 5} = 1\frac{29}{30} = 1.9666666666666666$