At Mariah's birthday party, 9 of her friends ate 34

of her chocolate cake. How much of the cake did each friend eat?(1 point)
Responses

12
12

634
6 and 3 fourths

19
1 ninth

112

1 answer

To find out how much of the cake each friend ate, you divide the total amount of cake eaten by the number of friends:

Total cake eaten = \( \frac{3}{4} \) (in the problem it looks like a fraction) Number of friends = 9

So, each friend ate:

\[ \text{Amount eaten by each friend} = \frac{\frac{3}{4}}{9} = \frac{3}{4} \times \frac{1}{9} = \frac{3}{36} = \frac{1}{12} \]

So, each friend ate \( \frac{1}{12} \) of the cake.

Looking at the responses provided, the closest correct answer is:

112 (given the context it should refer to \( \frac{1}{12} \)).

However, if "112" is a typo and instead refers to \( \frac{1}{12} \), that would be the most appropriate answer. If "112" is interpreted literally, the answer would be \( \frac{1}{12} \).