How to solve 3/2 + 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 3/2 + 4/5 - 2/3 | Equatix

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$$\frac{3}{2}+\frac{4}{5}-\frac{2}{3}$$

$\frac{49}{30}\approx 1.633333333$

Least common multiple of $2$ and $5$ is $10$. Convert $\frac{3}{2}$ and $\frac{4}{5}$ to fractions with denominator $10$.

$$\frac{15}{10}+\frac{8}{10}-\frac{2}{3}$$

Since $\frac{15}{10}$ and $\frac{8}{10}$ have the same denominator, add them by adding their numerators.

$$\frac{15+8}{10}-\frac{2}{3}$$

Add $15$ and $8$ to get $23$.

$$\frac{23}{10}-\frac{2}{3}$$

Least common multiple of $10$ and $3$ is $30$. Convert $\frac{23}{10}$ and $\frac{2}{3}$ to fractions with denominator $30$.

$$\frac{69}{30}-\frac{20}{30}$$

Since $\frac{69}{30}$ and $\frac{20}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{69-20}{30}$$

Subtract $20$ from $69$ to get $49$.

$$\frac{49}{30}$$

$\frac{7 ^ {2}}{2 \cdot 3 \cdot 5} = 1\frac{19}{30} = 1.6333333333333333$