Solve (-5)\div((-2)-1)\times(-4)-((-5)(-2)+(-3))\div(-1)

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$(-5) \div ((-2)-1) \times (-4)-((-5)(-2)+(-3)) \div (-1)$$

Evaluate

$\frac{1}{3}\approx 0.333333333$

Solution Steps

Subtract $1$ from $-2$ to get $-3$.

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

Fraction $\frac{-5}{-3}$ can be simplified to $\frac{5}{3}$ by removing the negative sign from both the numerator and the denominator.

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

Express $\frac{5}{3}\left(-4\right)$ as a single fraction.

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

Multiply $5$ and $-4$ to get $-20$.

$$\frac{-20}{3}-\frac{-5\left(-2\right)-3}{-1}$$

Fraction $\frac{-20}{3}$ can be rewritten as $-\frac{20}{3}$ by extracting the negative sign.

$$-\frac{20}{3}-\frac{-5\left(-2\right)-3}{-1}$$

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

$$-\frac{20}{3}-\frac{10-3}{-1}$$

Subtract $3$ from $10$ to get $7$.

$$-\frac{20}{3}-\frac{7}{-1}$$

Fraction $\frac{7}{-1}$ can be rewritten as $-7$ by extracting the negative sign.

$$-\frac{20}{3}-\left(-7\right)$$

The opposite of $-7$ is $7$.

$$-\frac{20}{3}+7$$

Convert $7$ to fraction $\frac{21}{3}$.

$$-\frac{20}{3}+\frac{21}{3}$$

Since $-\frac{20}{3}$ and $\frac{21}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{-20+21}{3}$$

Add $-20$ and $21$ to get $1$.

$$\frac{1}{3}$$

Show Solution

Factor

$\frac{1}{3} = 0.3333333333333333$