### Multiplying Fraction

11:23 AM

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

how many hours did Kristi work that week?

3 1/2 x 3

3x2+1=7/2x3=21/2

= 10 1/2

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

How much did Kristi earn that week?

(3 1/2x3)x9

10 1/2x9 = 130 1/2

7) Jupiter complets about 2 2/5 rotation every 24 hours (an earth day). How many rotation does jupiter complete in one earh week?

(24x7)x2 2/5

24x7=168

168x2 2/5

168x2=336

336/5=67 1/5

8) A sailboat is sailing at 81/2 km. If the weather conditions and the current do not change, how far will the sailboat travel in 11/3 hour?

8 1/2 x 1 1/3

8x2+1=17 3x1+1=4

17/2 x 4/3=68/6

= 11 2/6

10) It takes 3/5 of a tank of gas to get to work and back each day. How much gas it used over 5 work days?

3/5x5/1=15/5

=3/1

= 3

3 tanks are used over 5 work days.

11) Owen is 2 1/4 times as old as Robin. When Robin celebraes his 8th birthday, how old will Owen be?

21/4x8/1=

9/4x8/1=

8/4x9/1=

2/1x9/1=18/1

18

Owen wil be 18 years old when Robin is 8.

9) The distance to Grandmother's house is 4/5 of the distace of uncle Glan's house. If uncle Glen's house is 3 1/2 hours away, hoe long it take to get to grandmother's house if you travel at the same speed?

3 1/2x4x5
7/2x4/5
4/2 x 7/5=14/5

simplify 24/5

It will take 24/5 hours to get to grandmother's house.

12) The Karate club is arranging a grading for it's members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need the gym in order to process 3 groups of candidates each?

convert: 3 1/4 into 13/4

multiply: 13/4 x 13/4 x 1/4 =39/16

16 goes into 39, 27/16