Divide (6/9)÷(2/5)

$\frac{6}{9} \div \frac{2}{5}$

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{9} \cdot \frac{5}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{2 (3)}{9} \cdot \frac{5}{2}$

Cancel the common factor.

$\frac{2 \cdot 3}{9} \cdot \frac{5}{2}$

Rewrite the expression.

$\frac{3}{9} \cdot 5$

$\frac{3}{9} \cdot 5$

Combine $\frac{3}{9}$ and $5$ .

$\frac{3 \cdot 5}{9}$

Multiply $3$ by $5$ .

$\frac{15}{9}$

Cancel the common factor of $15$ and $9$ .

Factor $3$ out of $15$ .

$\frac{3 (5)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{5}{3}$

$\frac{5}{3}$

$\frac{5}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$

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