Total = 7 slices.
1student = 7/9 of a slice.
Total number of students:
[tex]7 \div \dfrac{7}{9} [/tex]
[tex]= 7 \times \dfrac{9}{7} [/tex]
[tex]= 9[/tex]
---------------------------------------------------------------------------
Answer: She will be able to hand out to 9 students.
---------------------------------------------------------------------------