Grade Level: 6th Skill: Fractions, Decimals and Percentages Topic: Add, Subtract, Multiply and Divide Fractions Goal: Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation. Skill Description: Add and subtract like fractions. Add and subtract unlike fractions. Multiply and divide fractions. Place fractions in simplest form. Read word problems to determine the appropriate operation (+, -, x, ) needed to solve a problem.

## Building Blocks/Prerequisites

### Sample Problems

 (1) ½ + ¾ (1 ¼) (2) 5/9 – 3/8 (13/72) (3) 6/10 x 11/5 (66/50 = 1-8/25) (4) 3/7  1/5 (15/7 = 2-1/7) (5) Cody had 7/8 a pizza left over. His sister ate 1/4 of his leftovers. How much pizza does Cody have now? (5/8)

### Online Resources

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### Extra Help Problems

 (1) Mylie had ¾ a cup of sugar left in a bag. She used 2/5 a cup of flour to bake cookies. How much flour did she have left after baking the cookies? (7/20) (2) Tyson had ¾ of a dollar in his pocket. His best friend gave him another ¾ of a dollar. What was the total amount of money he had in his pocket? (1-1/2) (3) Enrique gave ½ of his candy bar to his sister and ¼ to his friend. How much of the candy bar was left for him? (1/4) (4) Danny bought 29 ¾ feet of wood to build a doghouse. When he finished he had 1¼ feet of wood remaining. How much wood did he use to build the doghouse? (28 1/2) (5) Chelsea has won 4/5 of the soccer games she’s played this year. If she wins 8 more out of the last ten games played, what will her fraction of wins be? (16/25) (6) Chance has 30 students in his class, 2/3 of them are girls. How many of the students are boys? (10 boys) (7) Cameron live 1/5 of a mile from Jason. If she to and from Jason’s house 5 days a week, how far does she walk each week. (1 mile) (8) Wendy spent ¾ of an hour playing two video games. She played a space game for ¼ of the time. How long did she play a video football? (1/2 an hour) (9) A drive to John’s uncle’s house is 6 hours long. If John puts on a new CD every 2/3 of an hour, how many CDs does he play during the drive? (9 CDs) (10) A cup of chocolate milk holds 8 ounces. If a spoonful holds 1/5 of an ounce, how many spoonfuls are in one cup of chocolate milk? (40 oz.) (11) 9/10 + 4/10 (13/10 = 1-3/10) (12) 7/16 – 1/16 (6/16 = 3/8) (13) 11/12 + ¾ (20/12 = 1-8/12 = 1-2/3) (14) 19/20 – 4/5 (3/20) (15) 3 1/8 + 2 1/6 (5- 7/24) (16) 7 4/5 - 5 1/10 (2-7/10) (17) 9 1/5 – 4 5/15 (4-13/15) (18) 11 2/3 – 9 5/6 (1-5/6) (19) ¼ x 1/7 (1/28) (20) ¼  1/7 (1-3/4) (21) 2 1/8 x 3 6/12 (714/60 = 11-54/60 = 11-27/30) (22) 4 5/7  1/6 (198/7 = 28-2/7) (23) 5 1/5 X 2 (26) (24) 2 – 1 3/8 (5/8) (25) 40  1 ½ (26-2/3)