When we divide algebraic fractions, we use the same method as when we divide numerical fractions.
First we invert the second fraction and then turn the ÷ sign into a x sign.
Then we try to reduce or cancel down any top term with a bottom term that has a common factor.
Invert the second fraction and change the ÷ sign to a x sign.
We look for any top term which has a common factor with any bottom term.
If we find such a reducible pair of terms, we divide them by their common factor.
|=||a3 ÷ a2||x||5|
|10||7a2 ÷ a2|
|=||a||x||5 ÷ 5|
|10 ÷ 5||7|