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Problem Solving with Fractions: Operations and Applications

This resource focuses on solving real-world problems involving fractions through various operations. Students will determine the appropriate mathematical operations (addition, subtraction, multiplication, division) to use for each problem and will practice simplifying their answers. Problems include scenarios such as calculating distances, determining how often items need to be purchased, and measuring time spent on activities. By engaging in these problems, students will enhance their fraction skills and apply them to practical situations.

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Problem Solving with Fractions: Operations and Applications

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  1. Problem Solving with Fractions!!

  2. Directions Decide what operation to use. Then solve on a white board. Simplify your answers.

  3. 1. Hala can rider her bike 7 ½ miles in an hour. How far will she ride in 3 hours? How far will she ride in 2/3 of and hour?

  4. Answer Multiplication; 3 x 7 ½ = 22 ½ miles Multiplication; 2/3 x 7 ½ = 5 miles

  5. 2. Eryn’s pet rabbit eats 5/12 of a pound of food every day. If Eryn buys rabbit food in 5-pound bags, how often does she buy a new bag of rabbit food?

  6. Answer Division; 1 2/3 1/3 = 5 days

  7. Jason practices the trumpet for 1 2/3 hours everyday. He practices the scales every 1/3 of an hour. How many times does he practice the scales?

  8. Answer Division; 1 2/3 1/3 = 5 times

  9. Jonathan can throw a baseball 10 1/3 years. His brother Joey can throw a baseball 13 1/12 yards. How much farther can Joey throw the ball?

  10. Answer Subtraction; 13 1/12 – 10 1/3 = 2 ¾ yards

  11. Kim bought 3/8 of a pound of sunflower seeds and 3/16 of a pound of thistle seed for her bird feeder. How much seed did she buy in all?

  12. Answer Addition; 3/8 + 3/16 = 9/16 pound

  13. Casandra’s fish bowl holds 9/10 of water. It is now 2/3 full. How much water does it have?

  14. Answer Multiplication; 2/3 x 9/10 = 3/5 gallon

  15. Estimate Marcus plays basketball for 9 hours each week. His friend Luis spends 5/6 as much time playing basketball. Who plays more basketball?

  16. Answer Marcus

  17. Estimate How much time does Luis spend playing basketball?

  18. Answer 7 ½ hours

  19. Estimate Stacey’s long jump is 10 feet. That is 5/6 of a foot longer than Ron’s jump. Does Ron jump more or less than 10 feet?

  20. Answer less

  21. Estimate How long was Ron’s jump?

  22. Answer 9 1/6 feet

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