Next, we can write the given information and what we want to prove.
Given: & ab= cd, b≠0, d≠0
Prove: & ad = bc
Since the desired equation has no fractions, the first step will be to multiply both sides of the given equation by bd to get rid of the denominators.
bd * a/b = bd * c/d
Next, we cross out the common factors.
bd * a/b = bd * c/d
Then, by canceling out the common factors, we will obtain an equation with no fractions.
d * a = b* c
Finally, by applying the Commutative Property of Multiplication in the left-hand side, we will obtain the desired equation.
ad = bc
