5/18 * 12/35 = (5*12) / (18*35) = 10/105
pretty simple: the numbers on the top (numerator) are multiplied together, and the numbers in the bottom (denominator) are multiplied together. And you can always simplify any top with any bottom in multiplication since terms can be rearranged. For example:
(4/7)*(7/3) = 4/3 you can just cross out the 7 on top and 7 in bottom.
It could also be written as: (4/3)* (7/7) = (4/3)*1 = 4/3 (just rearranging the terms which is allowed in multiplication).
Hope that helps.
Kaveh