Write the Fraction in Simplest Form (10/13)÷(4/9)

$\frac{10}{13} \div \frac{4}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{10}{13} \cdot \frac{9}{4}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

$\frac{2 (5)}{13} \cdot \frac{9}{4}$

Factor $2$ out of $4$ .

$\frac{2 \cdot 5}{13} \cdot \frac{9}{2 \cdot 2}$

Cancel the common factor.

$\frac{2 \cdot 5}{13} \cdot \frac{9}{2 \cdot 2}$

Rewrite the expression.

$\frac{5}{13} \cdot \frac{9}{2}$

Step 3

Multiply $\frac{5}{13}$ by $\frac{9}{2}$ .

$\frac{5 \cdot 9}{13 \cdot 2}$

Step 4

Multiply $5$ by $9$ .

$\frac{45}{13 \cdot 2}$

Step 5

Multiply $13$ by $2$ .

$\frac{45}{26}$