1. Multiplying Mixed Numbers

2. 1 2 3 4 5 6 7 8 9 1 4 9 4 2 = 8 4 1 4 9 4 + =

3. 2 3 8 24 3 2 3 26 3 + =

4. 5 8 3 29 8 5 8
= 3 8 2 9 − 2 4 5

5. 5 × 2 = 5 × (2 + ) = (5 × 2) + (5 × ) = 10 + 2 = × = 12 hours = 2
Mr. White worked on his dogsled
for 2 hours each day for 5 days.
How much time did he spend working on the dogsled? 1 2 1 2 1 2
5 × 2 =
5 × (2 + ) = 1 2
(5 × 2) + (5 × ) = 5 1 1 2 1 2 5 2 1 2 1 2 10 =
× =
12 hours
= 2

6. 1 2
5 × 2 = 5 1 5 2 25 1 2
× =
= hours 2

7. the team was able to travel 2 times
One morning during a race in 1925, a dogsled team traveled 28 miles in blizzard conditions. That afternoon,
the team was able to travel 2 times
farther than in the morning. How many miles did the team travel in the afternoon? 1 7

8. 2 × 28 = 28 × (2 + ) = (28 × 2) + (28 × ) = 56 + 4 = 60 miles 1 7 1 7
2 × 28 = 1 7
28 × (2 + ) = 1 7
(28 × 2) + (28 × ) =
4 =
60 miles

9. 1 7
2 × 28 = 4 15 7 28 1 60 1
× =
= 60 miles 1

10. Two dogsled teams ran in a race. Jack’s team finished the race
in minutes. Joe’s team took
1 times longer than Jack’s team.
How long did Joe’s team take to finish the race? 3 4 1 3

11. 1 3 3 4
1 × = 2 3 2 7 3 8 3 1 4 3 83 4 83 3 2 3 × =
= 27
minutes − 6 1 2 3 − 2 1 2

12. Use improper fractions.
3 × 2 = 1 5 10 8 16 5 21 10
168 25 18 25
× =
= 6 5

13. Use the distributive property.
2 × = 3 4 2 5 3 4 2 5
(2 + ) × = 2 5 3 4 2 5
(2 × ) + ( × ) = 8 10 4 5 3 10 11 10 1 10 + =
= 1

14. Estimating Products of Mixed Numbers

15. Round factors that are less than 1 to or 1. Round mixed numbers:
If the fraction is less than ,
the whole number stays the same.
If the fraction is greater than
or equal to , the whole number
increases by one. 1 2 1 2 1 2

16. 3 8 10 16
6 × 5 = 1 2 4
× = 1 2
× 4 = 2 7
× 5 = 35

17. of 5 miles an hour. About how
Colin runs an average
of 5 miles an hour. About how
far can he run in 2 hours? 1 3 5 6
5 × 2 = 1 3 5 6 5
× 3 =
15 miles

18. 1 6 7 9
× = 1 6
× 12 = 2

19. Complete #1−40 (even) on Student Text pp. 154−55.