Fractions x Whole Models

The worm is one unit long. What fractional part of the worm is the ant?

• 3/7

• 3/8

• 4/8

• 4/9

A heart-shaped charm is divided equally into two pieces. Two friends each take a piece of the charm. Which fraction represents each piece of the charm?

• 2/1

• 2/2

• 1/2

• 1/4

A large rectangle is divided into equal parts. A student said that 2/6 of the rectangle is shaded. Why is this student not correct?

• There are less than 2 shaded parts.

• There are less than 6 parts in the whole.

• There are more than 2 shaded parts.

• There are more than 6 parts in the whole.

• A

• B

• C

• D

The number lines below show the fractions 3/6 and 2/4. Is the fraction 3/6 equal to 2/4?

• No, because each number line represents a different whole.

• Yes, because each fraction is the same distance from 0 to 1.

• No, because each number line had a different number of dividers.

• Yes, because each fraction has an even denominator.

Which two models show shading to represent equivalent fractions?

• Models 1 and 2

• Models 2 and 3

• Models 2 and 4

• Models 1 and 4

What fraction is represented by point J on the number line?

• 2/4

• 3/4

• 1/4

• 4/4

Allen was making a fruit salad. He bought 27 grapes to put into three bowls. Allen wanted each bowl to have the same number of grapes. Which number sentence could be used to find how many grapes would be placed in one bowl?

• 27 ÷ 3 = ?

• 27 x 3 = ?

• 27 + 3 = ?

• 27 - 3 = ?

Lauren ran a five-mile race on the street represented in the diagram. Which fraction represents the distance Lauren had run when she reached the school?

• 1 1/4 miles

• 1/2 mile

• 4 1/2 miles

• 1 1/2 miles

Max and Angel each had a pie that was the same size. Max ate 2/4 of his pie. Angel ate 2/6 of his pie. Which statement is true?

• Max ate more pie, because each slice of pie cut into 4 equal parts is larger than each slice of pie cut into 6 equal parts.

• Angel ate more pie, because each slice of pie cut into 6 equal parts is larger than each slice of pie cut into 4 equal parts.

• Max' pie had fewer pieces. Since 4 < 6, Max ate less pie.

• The number of pieces eaten is the same. Since 2 = 2, Max and Angel ate the same amount of pie.