Answer
$(\frac{2x}{3})$
Work Step by Step
To simplify, we multiply the numerators by each other and the denominators by each other while simplifying the fractions through the cancelling of common factors:
Step 1: $(\frac{7x}{9y})\times(\frac{12y}{14})$
Step 2: $(\frac{1x}{9y})\times(\frac{12y}{2})$
Step 3: $(\frac{1x}{9})\times(\frac{12}{2})$
Step 4: $(\frac{1x}{9})\times(\frac{6}{1})$
Step 5: $(\frac{1x}{3})\times(\frac{2}{1})$
Step 6: $(\frac{2x}{3})$
