How to solve (13)/(15)-(9)/(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 (13)/(15)-(9)/(2) | Equatix

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$$\frac{ 13 }{ 15 } - \frac{ 9 }{ 2 }$$

$-\frac{109}{30}\approx -3.633333333$

Least common multiple of $15$ and $2$ is $30$. Convert $\frac{13}{15}$ and $\frac{9}{2}$ to fractions with denominator $30$.

$$\frac{26}{30}-\frac{135}{30}$$

Since $\frac{26}{30}$ and $\frac{135}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-135}{30}$$

Subtract $135$ from $26$ to get $-109$.

$$-\frac{109}{30}$$

$-\frac{109}{30} = -3\frac{19}{30} = -3.6333333333333333$