How to solve ii) 2 2/3 - 3/2

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 ii) 2 2/3 - 3/2 | Equatix

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

$\frac{7}{6}\approx 1.166666667$

Multiply $2$ and $3$ to get $6$.

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

Add $6$ and $2$ to get $8$.

$$\frac{8}{3}-\frac{3}{2}$$

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

$$\frac{16}{6}-\frac{9}{6}$$

Since $\frac{16}{6}$ and $\frac{9}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-9}{6}$$

Subtract $9$ from $16$ to get $7$.

$$\frac{7}{6}$$

$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$