Dividing Fractions by Fractions Using a Number Line

This lesson teaches how to divide a fraction by a fraction using a number line. It demonstrates dividing 6/7 by 2/7 by first representing 6/7 on a number line divided into sevenths. The process involves counting groups of 2/7 from 0, showing that three groups of 2/7 equal 6/7, thus 6/7 divided by 2/7 equals 3. The lesson concludes with a recap of the method.

What is the first step in dividing 6/7 by 2/7 using a number line?

• Draw a number line from 0 to 2

• Place a point at 2/7

• Draw a number line from 0 to 1

• Divide the number line into 6 equal parts

How do you represent 6/7 on a number line?

• Place a point at 2/7

• Divide the space between 0 and 1 into 7 equal parts

• Place a point at 1/7

• Divide the space between 0 and 1 into 6 equal parts

What does each part represent when the space between 0 and 1 is divided into 7 equal parts?

• 1/6

• 1/7

• 2/7

• 6/7

How many groups of 2/7 are there in 6/7?

• Five

• Four

• Three

• Two

What is the result of dividing 6/7 by 2/7?

• 1

• 3

• 2

• 4