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

Question

(1 point)
Responses

1/12
5/12

11/12

3/7

Answer 1

To find the part of the adoptions that were rabbits, we first need to determine the fractions of the adoptions attributed to dogs and cats, and then see what's left for rabbits.

1. Fraction of dogs adopted: \( \frac{2}{3} \)
2. Fraction of cats adopted: \( \frac{1}{4} \)

Let's add these two fractions together:

To do this, we need a common denominator. The least common multiple of 3 and 4 is 12.

Convert \( \frac{2}{3} \) and \( \frac{1}{4} \) to have a denominator of 12:

• 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, add these two fractions: \[ \frac{8}{12} + \frac{3}{12} = \frac{11}{12} \]

Now we subtract this sum from 1 (the whole) to find the fraction of adoptions that were rabbits: \[ 1 - \frac{11}{12} = \frac{12}{12} - \frac{11}{12} = \frac{1}{12} \]

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

The correct answer is 1/12.