Write the Fraction in Simplest Form (7/8)÷(9/10)

$\frac{7}{8} \div \frac{9}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{8} \cdot \frac{10}{9}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$\frac{7}{2 (4)} \cdot \frac{10}{9}$

Factor $2$ out of $10$ .

$\frac{7}{2 \cdot 4} \cdot \frac{2 \cdot 5}{9}$

Cancel the common factor.

$\frac{7}{2 \cdot 4} \cdot \frac{2 \cdot 5}{9}$

Rewrite the expression.

$\frac{7}{4} \cdot \frac{5}{9}$

Step 3

Multiply $\frac{7}{4}$ by $\frac{5}{9}$ .

$\frac{7 \cdot 5}{4 \cdot 9}$

Step 4

Multiply $7$ by $5$ .

$\frac{35}{4 \cdot 9}$

Step 5

Multiply $4$ by $9$ .

$\frac{35}{36}$