How to solve 8/18 + 2/3 + 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 8/18 + 2/3 + 5/6 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{8}{18}+\frac{2}{3}+\frac{5}{6}$$

Evaluate

$\frac{35}{18}\approx 1.944444444$

Solution Steps

Reduce the fraction $\frac{8}{18}$ to lowest terms by extracting and canceling out $2$.

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

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

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

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

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

Add $4$ and $6$ to get $10$.

$$\frac{10}{9}+\frac{5}{6}$$

Least common multiple of $9$ and $6$ is $18$. Convert $\frac{10}{9}$ and $\frac{5}{6}$ to fractions with denominator $18$.

$$\frac{20}{18}+\frac{15}{18}$$

Since $\frac{20}{18}$ and $\frac{15}{18}$ have the same denominator, add them by adding their numerators.

$$\frac{20+15}{18}$$

Add $20$ and $15$ to get $35$.

$$\frac{35}{18}$$

Show Solution

Factor

$\frac{5 \cdot 7}{2 \cdot 3 ^ {2}} = 1\frac{17}{18} = 1.9444444444444444$