Ava, Keirra, and Victoria ate exactly 3/4 of their candy bars. Ava ate 3 pieces, Kierra ate 6 pieces and Victoria ate 9 pieces. How is this possible?

Their candy bars were divided into different sized pieces.

Ava's had 4 pieces
Kierra's had 8 pieces

To understand how Ava, Keirra, and Victoria could have eaten exactly 3/4 of their candy bars, we need to find out the total number of candy bars they had initially.

Let's start by finding the fraction of candy bars eaten by each person. We know that Ava ate 3 pieces, Keirra ate 6 pieces, and Victoria ate 9 pieces.

Ava's fraction = 3 pieces / (total number of candy bars)
Keirra's fraction = 6 pieces / (total number of candy bars)
Victoria's fraction = 9 pieces / (total number of candy bars)

We need to find a common denominator to compare these fractions. In this case, the smallest common denominator is the LCM (Least Common Multiple) of the denominators, which is 1.

Now we can add the fractions:

Ava's fraction + Keirra's fraction + Victoria's fraction = 3/4

3/(total number of candy bars) + 6/(total number of candy bars) + 9/(total number of candy bars) = 3/4

To eliminate the denominators, we can multiply both sides of the equation by 4, the LCM:

4 * [3/(total number of candy bars) + 6/(total number of candy bars) + 9/(total number of candy bars)] = 4 * (3/4)

12/(total number of candy bars) + 24/(total number of candy bars) + 36/(total number of candy bars) = 3

Now we can combine the fractions:

(12 + 24 + 36)/(total number of candy bars) = 3

72/(total number of candy bars) = 3

To solve for (total number of candy bars), we can cross-multiply:

72 = 3 * (total number of candy bars)

(total number of candy bars) = 72 / 3

(total number of candy bars) = 24

Therefore, Ava, Keirra, and Victoria ate exactly 3/4 of their candy bars if they started with a total of 24 candy bars.