Dividing Fractions

1. Dividing Fractions

2. Dividing Fractions
3
4
÷
1
3
3
4
=
3
1
× =
9
4
1. Turn the dividing fraction upside down
and change ÷ to ×.
2. Multiply numerators and denominators.
3. If necessary cancel down and change to
a mixed number.
=2
1
4

3. 2
5
÷
1
4
2
5
= 4
1
× =
8
5
=1
3
5
3
7
÷
2
5
3
4
÷
1
8
5
6
÷
1
3
4
9
÷
1
2
=
=
=
=
3
7
5
6
3
4
4
9
×
×
×
× =1
1
14
=6
=2
1
2
=
24
4
=
15
6
=
8
9
=
15
14
5
2
8
1
3
1
2
1

4. Dividing mixed numbers.
2
2
5
÷
1
2
1. Change the mixed number to an improper
fraction.
2. Divide as before.
3. Cancel down and change to a mixed
number if necessary.
=
12
5
÷
1
2
=
12
5
×
2
1
=
24
5
=4
4
5

5. 1
4
5
÷
1
3
=
2
1
3
÷
7
9
=
3
1
2
÷
3
8
=
3
2
3
÷ 1
1
6
=
9
10
÷ 1
1
5
=
9
5
÷
1
3
=
9
5
×
3
1
=
27
5
= 5
2
5
7
3
÷
7
9
=
7
3
×
9
7
=
63
21
= 3
7
2
÷
3
8
=
7
2
×
8
3
=
56
6
= 9
1
3
9
10
÷
6
5
=
9
10
×
5
6
=
45
60
=
3
4
11
3
÷
7
6
=
11
3
×
6
7
=
66
21
= 3
1
7

6. Dividing fractions and whole numbers
8 ÷
3
5
=
1. Whole numbers have a denominator
of 1.
2. Turn dividing fraction upside down
and multiply numerators and
denominators.
3. Cancel down and change to a mixed
number if necessary.
8
1
=
40
3
= 13
1
3
3
5
×
5
3

7. 6 ÷
2
3
=
4 ÷
2
5
=
7 ÷
5
6
=
5 ÷
6
7
=
8 ÷
7
9
=
3
4
÷ 6 =
6
1
÷
2
3
=
6
1
×
3
2
=
18
2
= 9
4
1
÷
2
5
=
4
1
×
5
2
=
20
2
= 10
7
1
÷
5
6
=
7
1
×
6
5
=
42
5
= 8
2
5
5
1
÷
6
7
=
5
1
×
7
6
=
35
6
= 5
5
6
8
1
÷
7
9
=
8
1
×
9
7
=
72
7
= 10
2
7
3
4
÷
6
1
=
3
4
×
1
6
=
3
24
=
1
8

8. Division always makes things
smaller. If I divide up a rich,
tasty chocolate cake, I always
get a smaller piece than the
whole cake.
12 ÷ 4=3
3 is less than 12
Is she
correct?

9. If you divide a number by 1,
it does not increase or decrease.
3 ÷ 1 = 3
If you divide 1, or a number larger than 1,
by a proper fraction, the answer is greater
than the original number.
4 ÷
1
2
= 8 (8 > 4)

10. If you divide a larger fraction by a smaller
one, the answer will be more than 1.
3
4
÷
1
8
= 6
÷ = 6
How many
1
8
are there in
3
4
? 6

11. The end