Mastering Division of Fractions with Number Lines

The video tutorial explains how to divide fractions using the example of dividing 8/3 by 1/3 and 2/3. It uses a number line to illustrate the concept and demonstrates that dividing by a fraction is equivalent to multiplying by its reciprocal. The tutorial provides a step-by-step explanation of the process, emphasizing the importance of understanding the underlying logic rather than just the mechanical steps. It concludes by reinforcing the intuition behind the division of fractions.

What is the first step in dividing 8/3 by 1/3?

• Drawing a number line

• Multiplying the fractions

• Finding the reciprocal

• Adding the fractions

Tags

CCSS.6.NS.A.1

How many jumps of 1/3 are needed to reach 8/3?

• 9 jumps

• 6 jumps

• 8 jumps

• 7 jumps

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

What does 8/3 divided by 1/3 equal?

• 8

• 7

• 6

• 9

Tags

CCSS.6.NS.A.1

Why does dividing 8/3 by 1/3 make sense?

• Because you are multiplying by the reciprocal

• Because you are adding fractions

• Because you are subtracting fractions

• Because you are dividing by the numerator

Tags

CCSS.6.NS.A.1

What is another way to think about 8/3 divided by 1/3?

• 8/3 times 1/2

• 8/3 times 2/3

• 8/3 times 3

• 8/3 times 1/3

Tags

CCSS.6.NS.A.1

How many jumps of 2/3 are needed to reach 8/3?

• 5 jumps

• 2 jumps

• 3 jumps

• 4 jumps

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

What is 8/3 divided by 2/3 equal to?

• 2

• 3

• 4

• 5

Tags

CCSS.6.NS.A.1

What is the reciprocal of 2/3?

• 3/2

• 3/1

• 1/2

• 2/3

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Why do you get half the answer when dividing by 2/3 compared to 1/3?

• Because you are dividing by the numerator

• Because you are subtracting fractions

• Because you are jumping twice as far

• Because you are adding fractions

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

What is the key takeaway when dividing by fractions?

• You multiply by the reciprocal

• You subtract the fractions

• You add the fractions

• You multiply by the numerator

Tags

CCSS.6.NS.A.1