How to solve (2 1/5) / (5 3/6)

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 1/5) / (5 3/6) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$2\frac{1}{5}\div5\frac{3}{6}$$

Evaluate

$\frac{2}{5}=0.4$

Solution Steps

Divide $\frac{2\times 5+1}{5}$ by $\frac{5\times 6+3}{6}$ by multiplying $\frac{2\times 5+1}{5}$ by the reciprocal of $\frac{5\times 6+3}{6}$.

$$\frac{\left(2\times 5+1\right)\times 6}{5\left(5\times 6+3\right)}$$

Multiply $2$ and $5$ to get $10$.

$$\frac{\left(10+1\right)\times 6}{5\left(5\times 6+3\right)}$$

Add $10$ and $1$ to get $11$.

$$\frac{11\times 6}{5\left(5\times 6+3\right)}$$

Multiply $11$ and $6$ to get $66$.

$$\frac{66}{5\left(5\times 6+3\right)}$$

Multiply $5$ and $6$ to get $30$.

$$\frac{66}{5\left(30+3\right)}$$

Add $30$ and $3$ to get $33$.

$$\frac{66}{5\times 33}$$

Multiply $5$ and $33$ to get $165$.

$$\frac{66}{165}$$

Reduce the fraction $\frac{66}{165}$ to lowest terms by extracting and canceling out $33$.

$$\frac{2}{5}$$

Show Solution

Factor

$\frac{2}{5} = 0.4$