How to solve 4/3 / (3/5 - 1/2)

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 4/3 / (3/5 - 1/2) | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

$$\frac{4}{3}\div(\frac{3}{5}-\frac{1}{2})$$

$\frac{40}{3}\approx 13.333333333$

Least common multiple of $5$ and $2$ is $10$. Convert $\frac{3}{5}$ and $\frac{1}{2}$ to fractions with denominator $10$.

$$\frac{\frac{4}{3}}{\frac{6}{10}-\frac{5}{10}}$$

Since $\frac{6}{10}$ and $\frac{5}{10}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4}{3}}{\frac{6-5}{10}}$$

Subtract $5$ from $6$ to get $1$.

$$\frac{\frac{4}{3}}{\frac{1}{10}}$$

Divide $\frac{4}{3}$ by $\frac{1}{10}$ by multiplying $\frac{4}{3}$ by the reciprocal of $\frac{1}{10}$.

$$\frac{4}{3}\times 10$$

Express $\frac{4}{3}\times 10$ as a single fraction.

$$\frac{4\times 10}{3}$$

Multiply $4$ and $10$ to get $40$.

$$\frac{40}{3}$$

$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$