SOLUTION: if a/b=4/3 then 3a+2b/3a-2b=?

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Question 106418: if a/b=4/3 then 3a+2b/3a-2b=?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply num. and denom. by (1/b).
%283a%2B2b%29%2F%283a-2b%29=%283%28a%2Fb%29%2B2%29%2F%283%28a%2Fb%29-2%29Distributive property.
%283a%2B2b%29%2F%283a-2b%29=%283%284%2F3%29%2B2%29%2F%283%284%2F3%29-2%29Substitute (a/b)=(4/3).
%283a%2B2b%29%2F%283a-2b%29=%284%2B2%29%2F%284-2%29%29
%283a%2B2b%29%2F%283a-2b%29=%286%29%2F%282%29%29
%283a%2B2b%29%2F%283a-2b%29=3