Thanks, Rom.....
Here's another proceedure that always works, BUT....it may NOT produce a fraction in "reduced" form....however...if you are good at reducing "final" fractions....it relieves you of the task of finding the "common denominator"
Note....suppose that we have
a - c
__ __
b d
Reduce any fractions that we can, first
Ctross multiply in this order ⇒ ad and bc
Seperate these with the same sign as we have between the fractions
So we have ad - bc
Put this over the product of the denominators = bd
So..we have
ad - bc
______
bd
So...in your problem, we have
2 - 3
__ ___
5 3y
Note that the second fraction can be reduced first... so we have
2 - 1
__ ___
5 y
Cross-multiply in the specified order
2*y - 5*1 = 2y - 5
Product of the denominators
5 * y = 5y
So we have
2y - 5
______ [ which is the same thing as Rom's 4th step !! ]
5y
