1. Multiplication
of
Fractions

2. Times You Would Multiply a Fraction
Times a Fraction
• Your family eats 1/8 of 1/2 of a left
over wedding cake.
1/8 of 1/2 or 1/8 x 1/2

3. Times You Would Multiply a Fraction
Times a Fraction
• Jose had already read 1/2 of his novel.
Today he read 1/12 of the 1/2 left.
How much of the book has he read?
1/12 of 1/2 or 1/12 x 1/2

4. Multiplying Fractions
Conceptual Understanding
• When you multiply two fractions that
are between 0 and 1 the product is
smaller than both fractions.
½ x ¾ = 3/8
Look at the diagram on the
next slide to understand why.

5. Multiplying Fractions
Conceptual Understanding
½ x ¾ = 3/8
¼ ¼ ¼ ¼
1/8 1/8 1/8

6. How to Find a Fraction of a
Fraction
• The first thing to remember is “of”
means multiply in mathematics.
of = x

7. How to Find a Fraction of a
Fraction
• Step 1 - When you see a fraction problem
you know when you read “of” in the
problem you multiply.
ofx1
2
4
9

8. How to Find a Fraction of a Fraction
• Step 2 – Multiply your numerators
straight across.
x 4
9
1
2 = 4

9. How to Find a Fraction of a Fraction
• Step 3 – Then multiply your
denominators straight across.
x 4
9
1
2 = 4
18

10. How to Find the Fraction of a
Fraction
• Step 4 – Simplify your answer. In
this case we reduce.
x 4
9
1
2 = 4
18
÷
÷
2
2=
2
9

11. Multiply and Simplify
9
5
1
6 = 9
30 10
3x ÷
÷
3
3 =

12. Multiply and Simplify
3
4
8
9 = 24
36 3
2x ÷
÷
12
12=

13. Multiply and Simplify
4
3
7
2 = 28
6 6)28
4x
24
44 4
6
÷
÷
2
2
= 2
34

14. Multiply and Simplify
9
2
3
4 = 27
8 8)27
3x
24
3
3
8

15. Multiply and Simplify
8
2
7
3 = 56
6 6)56
9x
54
2
2
6
9 2
6
÷ 2
2 =9 1
3÷

16. Multiply and Simplify
3
4
4
2 = 12
8 8)12
1x
8
4
4
8
14
8
÷ 4
4
= 11
2÷

17. Reference:
Yuskaitis, Monica. (2000) Retrieved from
http://portal.bentonvillek12.org/athurman/5th%20Grade
%20Math/Module%205/Multiplication%20of%20mixed
%20numbers.pdf