How to solve 1/2 + 3/9 + 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 1/2 + 3/9 + 5/6 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{1}{2}+\frac{3}{9}+\frac{5}{6}$$

Evaluate

$\frac{5}{3}\approx 1.666666667$

Solution Steps

Reduce the fraction $\frac{3}{9}$ to lowest terms by extracting and canceling out $3$.

$$\frac{1}{2}+\frac{1}{3}+\frac{5}{6}$$

Least common multiple of $2$ and $3$ is $6$. Convert $\frac{1}{2}$ and $\frac{1}{3}$ to fractions with denominator $6$.

$$\frac{3}{6}+\frac{2}{6}+\frac{5}{6}$$

Since $\frac{3}{6}$ and $\frac{2}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}+\frac{5}{6}$$

Add $3$ and $2$ to get $5$.

$$\frac{5}{6}+\frac{5}{6}$$

Since $\frac{5}{6}$ and $\frac{5}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{5+5}{6}$$

Add $5$ and $5$ to get $10$.

$$\frac{10}{6}$$

Reduce the fraction $\frac{10}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{5}{3}$$

Show Solution

Factor

$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$