How to solve 5/4 - 7/6 - 2/3

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 5/4 - 7/6 - 2/3 | Equatix

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Question

$$\frac{5}{4}-\frac{7}{6}+\frac{-2}{3}$$

Evaluate

$-\frac{7}{12}\approx -0.583333333$

Solution Steps

Least common multiple of $4$ and $6$ is $12$. Convert $\frac{5}{4}$ and $\frac{7}{6}$ to fractions with denominator $12$.

$$\frac{15}{12}-\frac{14}{12}+\frac{-2}{3}$$

Since $\frac{15}{12}$ and $\frac{14}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-14}{12}+\frac{-2}{3}$$

Subtract $14$ from $15$ to get $1$.

$$\frac{1}{12}+\frac{-2}{3}$$

Fraction $\frac{-2}{3}$ can be rewritten as $-\frac{2}{3}$ by extracting the negative sign.

$$\frac{1}{12}-\frac{2}{3}$$

Least common multiple of $12$ and $3$ is $12$. Convert $\frac{1}{12}$ and $\frac{2}{3}$ to fractions with denominator $12$.

$$\frac{1}{12}-\frac{8}{12}$$

Since $\frac{1}{12}$ and $\frac{8}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-8}{12}$$

Subtract $8$ from $1$ to get $-7$.

$$-\frac{7}{12}$$

Show Solution

Factor

$-\frac{7}{12} = -0.5833333333333334$