1. DIVIDING FRACTIONS

2. There are 2 groups of 2 in 4, therefore
Dividing Fractions
What does 4 ÷ 2 mean in words? Justify your reasoning by using a model or a drawing.
how many groups of are in 4? ÷
Modeling this with tiles may be more effective.
There are 2 groups of 2 in 4, therefore
4 ÷ 2 = 2

3. (How many groups of 2/3 are in 3/4)?
Example 1
What does 3/4 ÷ 2/3 mean in words?
(How many groups of 2/3 are in 3/4)?
Modeling this with tiles may be more effective.

4. Model a 4 by 3 array for each fraction.
Example 1 3/4 ÷ 2/3
When dividing fractions, the denominators are still the dimensions of the arrays!
Model a 4 by 3 array for each fraction.
Modeling this with tiles may be more effective. ÷

5. Example 1 3/4 ÷ 2/3
3/4
2/3
Find out how many groups of 2/3 (8 units) are in 3/4 (9 units) ÷
There is 1 whole group of 8 and one more left out of another group of 8 1 1/8
Count the number of units in 2/3 (8 units) and make groups from 3/4
Is equivalent to
9/12
Is equivalent to
8/12

6. 3/4 ÷ 2/3 3/4 2/3 9/12 8/12 ÷ Is equivalent to Is equivalent to
Count the number of units in 2/3 (8 units) and make groups from 3/4
Is equivalent to
9/12
Is equivalent to
8/12

7. Example 2 1/2 ÷ 1/3
1/2
1/3
Find out how many groups of 1/3 (2 units) are in 1/2 (3 units) ÷
Is equivalent to
3/6
Is equivalent to
2/6
There is 1 whole group of 2 and one more left out of another group of 2 1 1/2

8. 1/2 ÷ 1/3 1/2 1/3 3/6 2/6 ÷ Is equivalent to Is equivalent to
These fractions may need to be written as # over # instead of with the slash marks for the students to understand better.

9. There are only 8 out of a group of 9, so the quotient is 8/9
Example 3 2/3 ÷ 3/4
2/3
3/4
Find out how many groups of 3/4 (9 units) are in 2/3 (8 units) ÷
YOU CAN’T GET A WHOLE GROUP OF 9 UNITS!
Is equivalent to
8/12
Is equivalent to
9/12
There are only 8 out of a group of 9, so the quotient is 8/9

10. 2/3 ÷ 3/4
2/3
3/4 ÷
Is equivalent to
8/12
Is equivalent to
9/12

11. Guided Practice SKETCH and SOLVE by using area model arrays
1. 1/2 ÷ 1/4
2. 1/2 ÷ 2/3
3. 2/3 ÷ 1/2
4. 2/3 ÷ 1/4
5. 2/5 ÷ 5/6
6. 1/2 ÷ 1/5