Represent and Find the Size of Equal Parts

Which comparison and explanation are true?

There are four books on a shelf. In the model the shaded books represent non-fiction books. Which expression represents the fraction of the books on the shelf that are non-fiction?

The number lines model two different fractions. Which comparison of these fractions is true?

Lonny opened a new box of granola bars. Lonny and three of his friends equally shared the granola bars shown in the picture. What fraction of the granola bars did each of them get?

A farmer gave 1/4 of a bale of hay to a horse each day on Monday, Tuesday, and Wednesday. Which equation can be used to find the fraction of a bale of hay the farmer gave the horse on these three days?

• 1/4 + 1/4+ 1/4= 3/4

• 1/4 + 1/4 + 1/4 = 3/12

• 1/7 + 1/7 + 1/7 = 3/7

• 1/7 + 1/7 + 1/7 = 3/21

Anissa shaded part of the figure shown below. What fraction of the figure is shaded?

• 6/8

• 1/6

• 2/8

• 2/6

The number line represents a distance of 1 foot. On which of these number lines does point H represent 1/2 foot?

• F

• G

• H

• J

Three friends divided three pizzas into pieces. The shaded parts of the models represent the pieces that the friends ate. Which statement describes the fraction of a pizza that one of the friends ate?

• Diego ate 1/2 of a pizza, because he ate the largest piece of his 2 pieces.

• Victoria ate 1/3 of a pizza, because she ate 1 piece and had 3 equal-size pieces left over.

• Wesley ate 1/2 of a pizza, because he ate 1 piece of his 2 equal-size pieces.

• Victoria ate 3/1 of a pizza, because she ate 1 piece and had 3 pieces left over.

There are 4 books on a shelf. In the model, the shaded books represent nonfiction books. Which expression represents the fraction of the books on the shelf that are nonfiction?

• 1/4 + 1/4 + 1/4

• 1/4 + 1/4

• 1/4

An ant crawled 2/8 yard from an ant mound. On which number line does point A represent the ant’s position after crawling 2/8 yard?

• A

• B

• C

• D