Question

Maddox is installing new dog crates at the shelter. Each crate measures 3 2/3 feet across. If the space for the new crates is 18 1/3 feet across, how many crates can Maddox install?

A) 3
B) 4
C) 5
D) 6

Answer 1

Maddox can install 5 dog crates in an 18 1/3 feet space by dividing the space by the size of one dog crate, converting mixed numbers to improper fractions and then multiplying by the reciprocal.

Step-by-step explanation:

The question involves finding out how many dog crates measuring 3 2/3 feet each can fit into a space that is 18 1/3 feet across. To solve this, we divide the total space by the size of one crate:

1. First, convert the mixed numbers to improper fractions: 3 2/3 becomes 11/3, and 18 1/3 becomes 55/3.
2. Next, divide the total space by the size of one crate: 55/3 ÷ 11/3 = 55/3 * 3/11 = 5. This is because when you divide by a fraction, you multiply by its reciprocal.
3. Therefore, Maddox can install 5 dog crates in the given space.

The correct answer is option C) 5.