Multiplying Fractions
Remember, it's as simple as multiplying the numerators and denominators of the fractions together
separately e.g.
Easy
1
5
2
×3 =
1
1.
2
1
2.
1×2
5×3
=
2
15
1
×3
6.
1
2
×2
1
1
7.
×4
3
3.
2
4.
3
×
3
8.
3
9.
4
4
3
3
3
4
2
× 19
2
11. 8 × 4
6
5
7
×8
12. 7 × 9
2
×7
3
5
13. 7 × 8
7
5
14. ×
8
8
×5
7
5.
1
×
6
6
5
5
6
7
3
4
3
3
15. 10 × 7
10. 9 × 8
Harder
These sets of questions involve mixed numbers and improper (top-heavy) fractions.
Mini-crash course!
5
Improper (Top-heavy) fractions have a numerator that is larger than (or equal to!) the denominator e.g. 4
7
or 3. Multiplication with improper fractions works in exactly the same way as shown before.
3
4
Mixed Numbers are made up of a whole number part and a fractional part e.g 2 4 or 1 5. in order to
multiply mixed numbers, they need to be converted into improper fractions.
3
Example: 2 4 =
11
4
We have two whole lots of 4 which is
together and we get
8
4
and 3 portions of 4 which is
11
.
4
Try these:
2
1
3
2
1
1
1
1
1
1
1. 1 × 1
2. 1 4 × 2 2
3. 3 4 × 2 3
4. 1 4 × 2 5
1
1
4
5
1
1
5. 4 ×
6. 3 7 × 3
1
4
1
1
7. 1 2 × 1 5
8. 1 2 × 1 2
3
4
. Add them
Dividing Fractions
Remember, it's as simple as flipping over the second fraction and performing a multiplication
e.g.
1
3
3
÷4 =
Easy
1
3
4
×3 =
1.
2.
3.
4.
5.
1×4
3×3
1
4
=9
1
÷3
4
4
5
1
2
3
5
1
4
6.
2
÷ 10
7.
2
÷4
÷
8.
6
9.
10
4
1
2
3
1
3
2
4
3
÷5
2
3
÷4
8
1
1
2
1
12. 2 ÷ 5
1
÷2
÷
3
11. 4 ÷ 10
÷3
4
13. 5 ÷ 2
9
14.
10
1
1
10
1
10. 5 ÷ 10
÷
2
3
6
15. 2 ÷ 10
Harder
These sets of questions involve mixed numbers and improper (top-heavy) fractions. You will need
to convert the mixed numbers into improper fractions to perform the calculations.
Consult the mini-crash course on the previous page if you need any guidance.
1
1
1
1
4
7
2
3
3
1
5
2
1. 3 3 ÷ 2 2
2. 4 3 ÷ 4 4
3. 4 5 ÷ 2 10
4. 4 5 ÷ 4 4
5. 3 ÷ 2
9
2
6. 3 10 ÷ 2 3
1
7
1
4
1
3
3
3
5
4
7. 4 2 ÷ 4 10
8. 4 5 ÷ 4 5
9. 4 2 ÷ 4 4
10. 3 ÷ 4