Respuesta :
Given:
Amount of profit received = 7/10
Amount he gave to Mrs. Claus = 5/6
Amount she gave to the elf = 1/7 of the amount Mrs. Claus received.
Let's find the fraction of total profits the elf received.
Let's first find the fraction of profit Mrs. Claus received.
We have:
[tex]\begin{gathered} \frac{5}{6}*\frac{7}{10} \\ \\ =\frac{5*7}{6*10} \\ \\ =\frac{35}{60} \\ \\ =\frac{7}{12} \end{gathered}[/tex]Now, since the elf received 1/7 of the amount Mrs. Claus received, the total of profits the elf received will be:
[tex]\begin{gathered} \frac{1}{7}*\frac{7}{12} \\ \\ =\frac{1*7}{7*12} \\ \\ =\frac{1}{12} \end{gathered}[/tex]Therefore, the fraction of the total profits the elf received is 1/12.
ANSWER:
[tex]\frac{1}{12}[/tex]