How to solve 1/3 + 5/6 + 10/2

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 1/3 + 5/6 + 10/2 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{1}{3}+\frac{5}{6}+\frac{10}{2}$$

Evaluate

$\frac{37}{6}\approx 6.166666667$

Solution Steps

Least common multiple of $3$ and $6$ is $6$. Convert $\frac{1}{3}$ and $\frac{5}{6}$ to fractions with denominator $6$.

$$\frac{2}{6}+\frac{5}{6}+\frac{10}{2}$$

Since $\frac{2}{6}$ and $\frac{5}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{2+5}{6}+\frac{10}{2}$$

Add $2$ and $5$ to get $7$.

$$\frac{7}{6}+\frac{10}{2}$$

Divide $10$ by $2$ to get $5$.

$$\frac{7}{6}+5$$

Convert $5$ to fraction $\frac{30}{6}$.

$$\frac{7}{6}+\frac{30}{6}$$

Since $\frac{7}{6}$ and $\frac{30}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{7+30}{6}$$

Add $7$ and $30$ to get $37$.

$$\frac{37}{6}$$

Show Solution

Factor

$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$