How to solve - 2/3 + 4/9 - 5/6

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 - 2/3 + 4/9 - 5/6 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{-2}{3}+\frac{4}{9}+\frac{-5}{6}$$

Evaluate

$-\frac{19}{18}\approx -1.055555556$

Solution Steps

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

$$-\frac{2}{3}+\frac{4}{9}+\frac{-5}{6}$$

Least common multiple of $3$ and $9$ is $9$. Convert $-\frac{2}{3}$ and $\frac{4}{9}$ to fractions with denominator $9$.

$$-\frac{6}{9}+\frac{4}{9}+\frac{-5}{6}$$

Since $-\frac{6}{9}$ and $\frac{4}{9}$ have the same denominator, add them by adding their numerators.

$$\frac{-6+4}{9}+\frac{-5}{6}$$

Add $-6$ and $4$ to get $-2$.

$$-\frac{2}{9}+\frac{-5}{6}$$

Fraction $\frac{-5}{6}$ can be rewritten as $-\frac{5}{6}$ by extracting the negative sign.

$$-\frac{2}{9}-\frac{5}{6}$$

Least common multiple of $9$ and $6$ is $18$. Convert $-\frac{2}{9}$ and $\frac{5}{6}$ to fractions with denominator $18$.

$$-\frac{4}{18}-\frac{15}{18}$$

Since $-\frac{4}{18}$ and $\frac{15}{18}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-15}{18}$$

Subtract $15$ from $-4$ to get $-19$.

$$-\frac{19}{18}$$

Show Solution

Factor

$-\frac{19}{18} = -1\frac{1}{18} = -1.0555555555555556$