Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Combine $5$ and $\frac{1}{3}$ .

$\frac{5}{3} + 5 (\frac{2}{3}) - 2$

Step 1.2

Multiply $5 (\frac{2}{3})$ .

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Step 1.2.1

Combine $5$ and $\frac{2}{3}$ .

$\frac{5}{3} + \frac{5 \cdot 2}{3} - 2$

Step 1.2.2

Multiply $5$ by $2$ .

$\frac{5}{3} + \frac{10}{3} - 2$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$- 2 + \frac{5 + 10}{3}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $5$ and $10$ .

$- 2 + \frac{15}{3}$

Step 2.2.2

Divide $15$ by $3$ .

$- 2 + 5$

Step 2.2.3

Add $- 2$ and $5$ .

$3$