# 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:

$x=1-1\mathrm{/}3-2\mathrm{/}5\cdot \left(1-1\mathrm{/}3\right)=2\mathrm{/}3-2\mathrm{/}5\cdot 2\mathrm{/}3=2\mathrm{/}5$

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