Question

An area model has 2 shaded parts and 1 unshaded part. The shaded parts are labeled two-thirds. When Jake volunteers at the animal shelter, he divides two-thirds cup of cat food equally between 2 cats. How much food does he give each cat? Use the area model. Two-thirds divided by 2 = ?

a) 1/3
b) 2/3
c) 1/6
d) 1/2

Answer 1

Jake gives each cat one-sixth of a cup of food when he divides two-thirds of a cup equally between two cats, as visualized through an area model. The correct answer is c) 1/6.

Step-by-step explanation:

The question is addressing a division of fractions problem in which Jake is dividing two-thirds of a cup of cat food between two cats. Using an area model, we can visualize this division.

The model starts with two-thirds (labeled as shaded parts), and we want to divide this quantity by 2. To find out how much food each cat gets, imagine splitting each of the shaded thirds in the area model into two equal parts. Now, you have four shaded parts, each representing one-sixth of the whole. Since there were two shaded parts to start with, we get two one-sixth parts for each cat when we divide by 2.

The calculation is as follows:

1. Start with two-thirds: ¾
2. Divide each third in half: ¾ ÷ 2 = ¼ (or two one-sixth parts)
3. Therefore, each cat receives one-sixth of a cup of cat food.

The correct answer to the question is: c) 1/6.