# Cake fractions

Thomas ate 1/3 of cake, Bohouš of the rest of the cake ate 2/5.
What fraction of cake left over for others?

Result

x = 2/5

#### Solution:

$x = 1-1/3-2/5\cdot (1-1/3) = 2/3 - 2/5 \cdot 2/3 = 2/5$

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