### Jordan's Fraction Word Problems

Tuesday, April 28, 2009
Questions:

6. One week, Kristi worked 3 days at a department store for 3 1/2 h each day. She was paid \$9/h.

a) How many hours did Kristi work that week? Show your thinking.
3 ½ x 3
3 x 2 + 1 = 7/2
7/2 x 3 = 21/2
21/2=
10 ½
Kristi worked 10 ½ hours that week.

b) How much did Kristi earn that week?

10 ½ x 9 = 94 ½
Kristi earned \$94.50 that week.
7. Jupiter completes about 2 2/5 rotations every 24 hours (an Earth day). How many rotations does Jupiter complete in one Earth week? Show your thinking.
2 2/5 = 12/5
12/5 x 7/1 = 16 4/5
Jupiter completes 16 4/5 rotations in one Earth week.
8. A sailboat is sailing at 8 1/2 km/h. If the weather conditions and the current do not change, how far will the sailboat travel in 1 1/3 h? Show your thinking.

8 1/2 x 1/3
17/2 x 4/3 = 68/6 = 11 1/3
The sailboat will travel 11 1/3 km/h.
9. The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?
4/5 x 1/2
4/5 x 7/2 = 28/10
28/10 = 2 4/5
It will take 2 4/5 hours to get to Grandma's house.
10. It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days? Show your thinking.
3/5 x 5/1 = 15/5
15/5 = 3
3 tanks of gas are used over 5 work days.
11. Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th birthday, how old will Owen be?
1/4 x 8/1
9/4 x 8/1 = 72/4 = 18
Owen will be 18 years old.

12. The karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in the order to process 3 groups of 4 candidates each?
1/4 x 3/1
13/4 x 3/1 = 39/9 = 9 3/4
The karate club will need 9 3/4 hours to process 3 groups of 4 candidates.