Thanks Aziz for that great explanation.
I just thought i would show how the cancelling is done in fraction form.
(I am playing with LaTex, some of this is a bit new for me )
$$\dfrac{9x^5y^4}{4y}\times\dfrac{2y}{3x}\\\\\\
=\dfrac{\not{9} \textcolor[rgb]{0,0,1}{^3} x^{\not5 \textcolor[rgb]{0,0,1}{4}} y^4}{\not{4}\textcolor[rgb]{0,0,1}{^2}\not{y}}\times\dfrac{\not{2}\not{y}}{\not{3}\not{x}}\\\\\\\
=\dfrac{3x^4y^4}{2}$$
Compare the cross or diagonal terms first.
9x^5*y^4 & 3x --> we can cross out the 3x entirely and change the 9x^5*y^4 into 3x^4*y^4 by dividing 9 by 3 and crossing out one x in x^5.
4y & 2y --> we can change 4y into 2(2y) and cross out the 2y.
Notice by crossing out the 3x and 2y, we are left with 1 / 1.
Thus, we have: 3x^4*y^4 / 2 * 1 / 1 -->
3x^4*y^4 / 2.
Thanks Aziz for that great explanation.
I just thought i would show how the cancelling is done in fraction form.
(I am playing with LaTex, some of this is a bit new for me )
$$\dfrac{9x^5y^4}{4y}\times\dfrac{2y}{3x}\\\\\\
=\dfrac{\not{9} \textcolor[rgb]{0,0,1}{^3} x^{\not5 \textcolor[rgb]{0,0,1}{4}} y^4}{\not{4}\textcolor[rgb]{0,0,1}{^2}\not{y}}\times\dfrac{\not{2}\not{y}}{\not{3}\not{x}}\\\\\\\
=\dfrac{3x^4y^4}{2}$$