Define an operation $ for positive real numbers so that a $ b = ab/(a + b).
Then 4 $ (4 $ 4) = what?
In evaluating 4 $ (4 $ 4), we start inside the parentheses, as usual.
So 4 $ (4 $ 4) = 4 $ (16/8) = 4 $ 2 = 8/6 = 4/3.
Define an operation $ for positive real numbers so that a $ b = ab/(a + b).
Then 4 $ (4 $ 4) = what?
In evaluating 4 $ (4 $ 4), we start inside the parentheses, as usual.
So 4 $ (4 $ 4) = 4 $ (16/8) = 4 $ 2 = 8/6 = 4/3.