1. Dividing a Fraction by a Fraction

2. Dividing a Fraction by a Fraction
What is 1/2 ÷ 1/4?
How many groups of 1/4 could you fit in the half of the rectangle? 2

3. Dividing a Fraction by a Fraction
For the problem 1/2 ÷ 1/4 , how could you get an answer of 2?
Can you see how you could manipulate the fractions to get an answer of 2?
Isn’t ½ x 4 = 2?
Remember that division is the opposite operation of multiplication, so we can do the following… MULTIPLY. 

4. Dividing a Fraction by a Fraction
Basically, in order to divide fractions we will have to multiply the first fraction by the reciprocal of the second. To make a reciprocal, just flip the fraction over the second fraction. 1 1 1 4 x ÷ = 2 4 2 1

5. Dividing a Fraction by a Fraction
From this point, the problem can be solved in the way that you did for multiplying fractions. 2 2 1 4 x 2 = = 2 1 1 1

6. Let’s Practice
Get White Boards 

7. Set White Boards to the Side 1 3
Set White Boards to the Side 

8. Dividing of Fractions by Whole Numbers

9. Dividing a Whole Number by a Fraction
What is 3 ÷ ¼ ?
Use your prior knowledge and the illustration above to figure it out. Think, “If I start with 3, how many groups that look like ¼ will I have?”

10. Dividing a Whole Number by a Fraction1 2 3 4 5 6 7 11 10 12 9 8
If you start with 3, you will have 12 groups of 1/4 .
So, 3 ÷ ¼ = 12.
Can you see how you could manipulate the fractions to get an answer of 12?

11. means how many ’s are in ? So, I have 4 groups of 2!
Let’s try a fraction:
means how many ’s are in ?
So, I have 8 groups of ½!
6-5 MULTIPLY FRACTIONS

12. Dividing a Whole Number by a Fraction
What is 5 ÷ 1/3?
If you start with 5, you will have 15 groups of 1/3 .
So, 5 ÷ 1/3 = 15.
Can you see how you could manipulate the fractions to get an answer of 15?

13. How to Divide Fractions
Step 1 – Convert whole numbers and mixed numbers to improper fractions.
This example is from a prior slide. 1 3 1 3 = ÷ ÷ 4 1 4

14. How to Divide Fractions
Step 2 – Keep your first fraction. 3 1 3 = ÷ 1 4 1

15. How to Divide Fractions
Step 3 – Change the operation to multiplication. 3 1 3 = x ÷ 1 4 1

16. How to Divide Fractions
Step 4 – Flip the second fraction. Finding the reciprocal. 3 1 3 4 = x ÷ 1 4 1 1

17. How to Divide Fractions
Step 5 – Multiply the numerators, then multiple the denominators. 3 4 12 = x 1 1 1

18. How to Divide Fractions
Step 6 – Simplify (if possible). 3 4 12 = = 12 x 1 1 1

19. Let’s practice
Get White Boards
6-5 MULTIPLY FRACTIONS

20. Division - Let’s Try More!7 1 14 4 9 44 ÷ = ÷ = 9 2 9 7 11 63 7 1 21 20 7 50 ÷ = ÷ = 5 3 5 4 10 7

21. Great job!