Solve \{10/3 * 8/4 * (2/8 - 1/2)\} | Equatix

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Question

$$\{\frac{10}{3}\times\frac{8}{4}(\frac{2}{8}-\frac{1}{2})\}$$

Evaluate

$-\frac{5}{3}\approx -1.666666667$

Solution Steps

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

$$\frac{10}{3}\times 2\left(\frac{2}{8}-\frac{1}{2}\right)$$

Express $\frac{10}{3}\times 2$ as a single fraction.

$$\frac{10\times 2}{3}\left(\frac{2}{8}-\frac{1}{2}\right)$$

Multiply $10$ and $2$ to get $20$.

$$\frac{20}{3}\left(\frac{2}{8}-\frac{1}{2}\right)$$

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

$$\frac{20}{3}\left(\frac{1}{4}-\frac{1}{2}\right)$$

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

$$\frac{20}{3}\left(\frac{1}{4}-\frac{2}{4}\right)$$

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

$$\frac{20}{3}\times \frac{1-2}{4}$$

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

$$\frac{20}{3}\left(-\frac{1}{4}\right)$$

Multiply $\frac{20}{3}$ times $-\frac{1}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\left(-1\right)}{3\times 4}$$

Do the multiplications in the fraction $\frac{20\left(-1\right)}{3\times 4}$.

$$\frac{-20}{12}$$

Reduce the fraction $\frac{-20}{12}$ to lowest terms by extracting and canceling out $4$.

$$-\frac{5}{3}$$

Show Solution

Factor

$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$