Solve \{10/2 * 8/4 * (2/8 - 1/2)\} | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\{\frac{10}{2}\times\frac{8}{4}(\frac{2}{8}-\frac{1}{2})\}$$

Evaluate

$-\frac{5}{2}=-2.5$

Solution Steps

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

$$5\times \frac{8}{4}\left(\frac{2}{8}-\frac{1}{2}\right)$$

Divide $8$ by $4$ to get $2$.

$$5\times 2\left(\frac{2}{8}-\frac{1}{2}\right)$$

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

$$10\left(\frac{2}{8}-\frac{1}{2}\right)$$

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

$$10\left(\frac{1}{4}-\frac{1}{2}\right)$$

Least common multiple of $4$ and $2$ is $4$. Convert $\frac{1}{4}$ and $\frac{1}{2}$ to fractions with denominator $4$.

$$10\left(\frac{1}{4}-\frac{2}{4}\right)$$

Since $\frac{1}{4}$ and $\frac{2}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$10\times \frac{1-2}{4}$$

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

$$10\left(-\frac{1}{4}\right)$$

Express $10\left(-\frac{1}{4}\right)$ as a single fraction.

$$\frac{10\left(-1\right)}{4}$$

Multiply $10$ and $-1$ to get $-10$.

$$\frac{-10}{4}$$

Reduce the fraction $\frac{-10}{4}$ to lowest terms by extracting and canceling out $2$.

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

Show Solution

Factor

$-\frac{5}{2} = -2\frac{1}{2} = -2.5$