Sally runs an animal rescue company that allows families to adopt homeless pets. Last month, 2/3

Question

of the adopted animals were dogs, 1/4
of were cats, and the rest were rabbits. Which number represents the part of the adoptions that were rabbits?

Answer 1

To determine the fraction of adoptions that were rabbits, we first need to sum the fractions of adoptions that were dogs and cats.

1. The fraction of adopted dogs is \( \frac{2}{3} \).
2. The fraction of adopted cats is \( \frac{1}{4} \).

Next, we add these two fractions together:

To add \( \frac{2}{3} \) and \( \frac{1}{4} \), we need a common denominator. The least common multiple of 3 and 4 is 12. We convert both fractions to have 12 as the denominator:

• For \( \frac{2}{3} \): \[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]

• For \( \frac{1}{4} \): \[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]

Now, we can add the two fractions: \[ \frac{8}{12} + \frac{3}{12} = \frac{8 + 3}{12} = \frac{11}{12} \]

This means that \( \frac{11}{12} \) of the adoptions were dogs and cats. To find the fraction of adoptions that were rabbits, we subtract \( \frac{11}{12} \) from 1 (which represents the whole):

\[ 1 - \frac{11}{12} = \frac{12}{12} - \frac{11}{12} = \frac{1}{12} \]

Thus, the fraction of adoptions that were rabbits is \( \frac{1}{12} \).