How to solve (2)/(15)-(23)/(6)

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 (2)/(15)-(23)/(6) | Equatix

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$$\frac{ 2 }{ 15 } - \frac{ 23 }{ 6 }$$

$-\frac{37}{10}=-3.7$

Least common multiple of $15$ and $6$ is $30$. Convert $\frac{2}{15}$ and $\frac{23}{6}$ to fractions with denominator $30$.

$$\frac{4}{30}-\frac{115}{30}$$

Since $\frac{4}{30}$ and $\frac{115}{30}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-115}{30}$$

Subtract $115$ from $4$ to get $-111$.

$$\frac{-111}{30}$$

Reduce the fraction $\frac{-111}{30}$ to lowest terms by extracting and canceling out $3$.

$$-\frac{37}{10}$$

$-\frac{37}{10} = -3\frac{7}{10} = -3.7$