two-thirds of a whole came remained. On Thursday for desert Frances ate 1/4 of the remaining cake. How much of the entire cake did Frances eat for desert on Thursday?
[tex]\begin{gathered} \text{ Since we have 2/3 of the cake, and they ate 1/4 of the 2/3 we had, they ate} \\ \frac{2}{3}\cdot\frac{1}{4}=\frac{2}{3\cdot4}=\frac{2}{12}=\frac{1}{6} \\ \text{ They ate 1/6 of the entire cake} \end{gathered}[/tex]