Represent Division as Fractions Using the Number Line (Example)

Sam is tasked with cutting a 7-meter wire into 5 equal parts. Since 5 doesn't divide evenly into 7, the solution involves fractions. A number line is used to visualize the division, splitting the space between whole numbers into 5 equal parts, each 1/5 in length. By grouping seven of these parts, the size of each wire segment is determined to be 7/5 meters, or 1 and 2/5 meters as a mixed number.

What is the total length of the wire Sam is working with?

• 8 meters

• 7 meters

• 6 meters

• 5 meters

How many equal parts does Sam want to divide the wire into?

• 6 parts

• 5 parts

• 3 parts

• 4 parts

What is the length of each part on the number line?

• 1/6

• 1/5

• 1/3

• 1/4

How many groups of equal length are formed when dividing the wire?

• 5 groups

• 4 groups

• 6 groups

• 3 groups

What is the size of each part of the wire in meters?

• 1 and 3/5 meters

• 1 and 2/5 meters

• 1 and 1/5 meters

• 1 and 4/5 meters