Basic Math Examples

$2 \frac{2}{3} \cdot 4$

Step 1

Convert $2 \frac{2}{3}$ to an improper fraction.

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A mixed number is an addition of its whole and fractional parts.

$(2 + \frac{2}{3}) \cdot 4$

Add $2$ and $\frac{2}{3}$ .

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To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(2 \cdot \frac{3}{3} + \frac{2}{3}) \cdot 4$

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

$(\frac{2 \cdot 3}{3} + \frac{2}{3}) \cdot 4$

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 + 2}{3} \cdot 4$

Simplify the numerator.

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Multiply $2$ by $3$ .

$\frac{6 + 2}{3} \cdot 4$

Add $6$ and $2$ .

$\frac{8}{3} \cdot 4$

Step 2

Multiply $\frac{8}{3} \cdot 4$ .

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Combine $\frac{8}{3}$ and $4$ .

$\frac{8 \cdot 4}{3}$

Multiply $8$ by $4$ .

$\frac{32}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{32}{3}$

Decimal Form:

$10.\overline{6}$

Mixed Number Form:

$10 \frac{2}{3}$