Keddy has some hamsters.
5
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6
of the hamsters are white and
8
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9
of the remaining hamsters are black. The rest of the hamsters are yellow.
What fraction of the hamsters are yellow?
(Leave your answer as a fraction in simplest form.)
Let the total numbers of hamsters =H
The number of white hamsters =5/6H
H - 5/6H =1/6H - the remaining hamsters
1/6H x 8/9 =4/27H are black hamsters
H - [5/6H + 4/27H] =1/54H - yellow hamsters
H =54 hamsters
5/6 x 54 = 45 are white hamsters
[54 - 45] * 8/9 =8 are black hamsters
9 - 8 = 1 is a yellow hamster.
Yellow hamsters =1 / 54