The document outlines the steps for multiplying fractions: 1) Multiply the numerators, 2) Multiply the denominators, and 3) Simplify the fraction or express it as a mixed number. It provides 3 examples showing these steps: multiplying 2/3 by 4/6, multiplying 2/3 by 5, and multiplying 5/6 by 6/5.

1. 8-10 Multiplying by
a Fraction
Math Notes
Number Sense 2.4

2. Example 1
2 x 3 =
3 4

3. Example 1
STEP ONE: Multiply the numerators.
2 x 3 =
3 4

4. Example 1
STEP ONE: Multiply the numerators.
2 x 3 = 6
3 4

5. Example 1
STEP ONE: Multiply the numerators.
2 x 3 = 6
3 4
STEP TWO: Multiply the denominators.

6. Example 1
STEP ONE: Multiply the numerators.
2 x 3 = 6
3 4 12
STEP TWO: Multiply the denominators.

7. Example 1
STEP ONE: Multiply the numerators.
2 x 3 = 6
3 4 12
STEP TWO: Multiply the denominators.
STEP THREE: Simplify the products.

8. Example 1
STEP ONE: Multiply the numerators.
2 x 3 = 6 ÷6
3 4 12 ÷6
STEP TWO: Multiply the denominators.
STEP THREE: Simplify the products.

9. Example 1
STEP ONE: Multiply the numerators.
2 x 3 = 6 ÷6 1
3 4 12 ÷6 2
STEP TWO: Multiply the denominators.
STEP THREE: Simplify the products.

10. Example 1
STEP ONE: Multiply the numerators.
2 x 3 = 6 ÷6 1
3 4 12 ÷6 2
STEP TWO: Multiply the denominators.
STEP THREE: Simplify the products.

11. Example 2
2 x5
3

12. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5
3

13. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5
3 1

14. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5
3 1
STEP TWO: Multiply the numerators.

15. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5 10
3 1
STEP TWO: Multiply the numerators.

16. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5 10
3 1
STEP TWO: Multiply the numerators.
STEP THREE: Multiply the denominators.

17. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5 10
3 1 3
STEP TWO: Multiply the numerators.
STEP THREE: Multiply the denominators.

18. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5 10
3 1 3
STEP TWO: Multiply the numerators.
STEP THREE: Multiply the denominators.
STEP FOUR: Change the improper fraction into a mixed number.

19. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5 10
3 1 3
STEP TWO: Multiply the numerators.
STEP THREE: Multiply the denominators.
STEP FOUR: Change the improper fraction into a mixed number.

20. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5 10 3 3 r1
3 1 10
3 9
1
STEP TWO: Multiply the numerators.
STEP THREE: Multiply the denominators.
STEP FOUR: Change the improper fraction into a mixed number.

21. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5 10
3 1 3
STEP TWO: Multiply the numerators.
STEP THREE: Multiply the denominators.
STEP FOUR: Change the improper fraction into a mixed number.

22. Example 2
STEP ONE: Make the whole number into a fraction by
making it the numerator. The denominator becomes 1.
2 x5
3 1
10
3
STEP TWO: Multiply the numerators.
3 1
3
STEP THREE: Multiply the denominators.
STEP FOUR: Change the improper fraction into a mixed number.

23. Example 3
5 x 6 =
6 5

24. Example 3
STEP ONE: Multiply the numerators.
5 x 6 =
6 5

25. Example 3
STEP ONE: Multiply the numerators.
5 x 6 = 30
6 5

26. Example 3
STEP ONE: Multiply the numerators.
5 x 6 = 30
6 5
STEP TWO: Multiply the denominators.

27. Example 3
STEP ONE: Multiply the numerators.
5 x 6 = 30
6 5 30
STEP TWO: Multiply the denominators.

28. Example 3
STEP ONE: Multiply the numerators.
5 x 6 = 30
6 5 30
STEP TWO: Multiply the denominators.
STEP THREE: Whenever the numerator
and the denominator are the same, it
equals ONE WHOLE, ( 1 )

29. Example 3
STEP ONE: Multiply the numerators.
5 x 6 = 30
6 5 30
STEP TWO: Multiply the denominators.
1
STEP THREE: Whenever the numerator
and the denominator are the same, it
equals ONE WHOLE, ( 1 )

30. Example 3
STEP ONE: Multiply the numerators.
5 x 6 = 30
6 5 30
STEP TWO: Multiply the denominators.
1
STEP THREE: Whenever the numerator
and the denominator are the same, it
equals ONE WHOLE, ( 1 )