Evaluate (7/8)/(9/10)

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

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.

Multiply $7$ by $5$ .

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

Multiply $4$ by $9$ .

$\frac{35}{36}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{36}$

Decimal Form:

$0.97\overline{2}$