How to solve 1/2+(-1/3)+2/5=

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+(-1/3)+2/5= | Equatix

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Question

$$1/2+(-1/3)+2/5=$$

Evaluate

$\frac{17}{30}\approx 0.566666667$

Solution Steps

Fraction $\frac{-1}{3}$ can be rewritten as $-\frac{1}{3}$ by extracting the negative sign.

$$\frac{1}{2}-\frac{1}{3}+\frac{2}{5}$$

Least common multiple of $2$ and $3$ is $6$. Convert $\frac{1}{2}$ and $\frac{1}{3}$ to fractions with denominator $6$.

$$\frac{3}{6}-\frac{2}{6}+\frac{2}{5}$$

Since $\frac{3}{6}$ and $\frac{2}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{6}+\frac{2}{5}$$

Subtract $2$ from $3$ to get $1$.

$$\frac{1}{6}+\frac{2}{5}$$

Least common multiple of $6$ and $5$ is $30$. Convert $\frac{1}{6}$ and $\frac{2}{5}$ to fractions with denominator $30$.

$$\frac{5}{30}+\frac{12}{30}$$

Since $\frac{5}{30}$ and $\frac{12}{30}$ have the same denominator, add them by adding their numerators.

$$\frac{5+12}{30}$$

Add $5$ and $12$ to get $17$.

$$\frac{17}{30}$$

Show Solution

Factor

$\frac{17}{2 \cdot 3 \cdot 5} = 0.5666666666666667$