Question

At Mariah's birthday party, 9 of her friends ate 3/4 of her chocolate cake. How much of the cake did each friend eat?(1 point)
Responses

12
6 3/4
1/9
1/12

Answer 1

To find out how much of the cake each friend ate, we need to divide the amount of cake eaten by the number of friends.

9 friends ate 3/4 of the cake.

To divide the cake equally, we need to divide 3/4 by 9.

Therefore, each friend ate 3/4 ÷ 9.

We can simplify this division by multiplying the numerator and denominator of 3/4 by 4.

(3/4) × (4/4) = 12/16

So, each friend ate 12/16 of the cake.

However, we can simplify the fraction 12/16 further by dividing both the numerator and denominator by their greatest common divisor, which is 4.

(12/4)/(16/4) = 3/4

Therefore, each friend ate 3/4 of the cake.

The answer is 3/4.