How to solve -5/12--3/4

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 -5/12--3/4 | Equatix

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Question

$$-5/12--3/4$$

Evaluate

$\frac{1}{3}\approx 0.333333333$

Solution Steps

Fraction $\frac{-5}{12}$ can be rewritten as $-\frac{5}{12}$ by extracting the negative sign.

$$-\frac{5}{12}-\frac{-3}{4}$$

Fraction $\frac{-3}{4}$ can be rewritten as $-\frac{3}{4}$ by extracting the negative sign.

$$-\frac{5}{12}-\left(-\frac{3}{4}\right)$$

The opposite of $-\frac{3}{4}$ is $\frac{3}{4}$.

$$-\frac{5}{12}+\frac{3}{4}$$

Least common multiple of $12$ and $4$ is $12$. Convert $-\frac{5}{12}$ and $\frac{3}{4}$ to fractions with denominator $12$.

$$-\frac{5}{12}+\frac{9}{12}$$

Since $-\frac{5}{12}$ and $\frac{9}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{-5+9}{12}$$

Add $-5$ and $9$ to get $4$.

$$\frac{4}{12}$$

Reduce the fraction $\frac{4}{12}$ to lowest terms by extracting and canceling out $4$.

$$\frac{1}{3}$$

Show Solution

Factor

$\frac{1}{3} = 0.3333333333333333$