To find out how much of the cake each friend ate, we need to divide the amount of cake that was eaten by the number of friends.
Total cake eaten = \( \frac{3}{4} \)
Number of friends = 9
Amount eaten by each friend is calculated as follows:
\[ \text{Amount eaten by each friend} = \frac{\text{Total cake eaten}}{\text{Number of friends}} = \frac{3/4}{9} \]
To divide the fraction, we can multiply by the reciprocal:
\[ \frac{3}{4} \div 9 = \frac{3}{4} \times \frac{1}{9} = \frac{3 \times 1}{4 \times 9} = \frac{3}{36} = \frac{1}{12} \]
So, each friend ate \( \frac{1}{12} \) of the cake.
The correct response is:
1/12