If the cat licked 1/7 of the frosting, it means that 6/7 of the frosting is still there. But only 4/5 of the cake was frosted.
So, the remaining frosted cake is 6/7 of 4/5. In formulas, we have to multiply the fractions:
[tex]\dfrac{6}{7}\cdot\dfrac{4}{5}=\dfrac{24}{35}[/tex]
