How to solve 8/3 - 5/2 + 7

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 8/3 - 5/2 + 7 | Equatix

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$$\frac{8}{3}-\frac{5}{2}+7$$

$\frac{43}{6}\approx 7.166666667$

Least common multiple of $3$ and $2$ is $6$. Convert $\frac{8}{3}$ and $\frac{5}{2}$ to fractions with denominator $6$.

$$\frac{16}{6}-\frac{15}{6}+7$$

Since $\frac{16}{6}$ and $\frac{15}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-15}{6}+7$$

Subtract $15$ from $16$ to get $1$.

$$\frac{1}{6}+7$$

Convert $7$ to fraction $\frac{42}{6}$.

$$\frac{1}{6}+\frac{42}{6}$$

Since $\frac{1}{6}$ and $\frac{42}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{1+42}{6}$$

Add $1$ and $42$ to get $43$.

$$\frac{43}{6}$$

$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$