Rex, Lassie, and Beethoven eat their dog foods at different rates, though each gets the same amount. Rex can finish his bowl in 4 minutes, Lassie can finish in 3 minutes, and it only takes Beethoven 2 minutes.They got their food at the same time and they started chowing down. As soon asBeethoven finished, he started eating out of Rex’s bowl (Rex didn’t mind). Same with Lassie. Each dog always ate at the same rate, no matter which bowl. What fraction of the total amount of dog food did Beethoven eat?Please give the answer as a fraction in the simplest form.