Algebra Examples

$\frac{2}{3} \cdot \frac{5}{6} \cdot \frac{1}{2}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $6$ .

$\frac{2}{3} \cdot \frac{5}{2 (3)} \cdot \frac{1}{2}$

Step 1.2

Cancel the common factor.

$\frac{2}{3} \cdot \frac{5}{2 \cdot 3} \cdot \frac{1}{2}$

Step 1.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{5}{3} \cdot \frac{1}{2}$

Step 2

Multiply $\frac{1}{3}$ by $\frac{5}{3}$ .

$\frac{5}{3 \cdot 3} \cdot \frac{1}{2}$

Step 3

Multiply $3$ by $3$ .

$\frac{5}{9} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{5}{9} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply $\frac{5}{9}$ by $\frac{1}{2}$ .

$\frac{5}{9 \cdot 2}$

Step 4.2

Multiply $9$ by $2$ .

$\frac{5}{18}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{18}$

Decimal Form:

$0.2\overline{7}$