Ratio and fraction, transfer of water from Container A to B.

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The ratio of the capacity of Container A to the capacity of Container B was 4:1. 2/9 of Container A was filled with water. If all the water in Container A is poured into the empty Container B, what fraction of Container B would be filled with water?

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I got the the answer through a tedious method, making container A into 36 parts and container B into 9 parts and ended up 8/9 as answer for Container B.