MATH 6

1. MULTIPLYING FRACTIONS
AND MIXED NUMBERS

2. Multiplying Fractions
• Multiply the numerators, multiply the denominators, and simplify the
fraction.
1
3
=
1
2
x
1
6
1
2
=
3
5
x
3
10

3. Multiplying Fractions by a whole
number
3
4
x
2
Change the whole
number to a fraction.
3
4
=
2
1
x 1
4
1
2
=
6

4. Simplifying Before Multiplying
3
8
2
7
x
1
4
3
4
=
1
7
x
28
3

5. Simplifying Before Multiplying
3
7
1
3
x
1
1
1
7
=
1
1
x
7
1

6. Simplifying Before Multiplying
3
5
5
6
x
1
1
1
1
=
1
2
x
2
1
1
2

7. Multiplying Mixed Numbers
• Rename the mixed numbers as improper fractions. Multiply the
fractions, then simplify.
1
4
8
x =
4
9
76
9
1
4
x
1
19
19
9
=
1
1
x
9
19 2
1
9
=

8. YourTurn
1
9
=
1
8
x
72
1
1
3
x
6 2
=
4
5
=
3
12
x
5
1
1
3
6
x =
6
7
2
2
7