Grade 5 Fractions Practice — Hard

Question 1 of 23Score 0/0Hard

Question 1 of 23: What is 5/6 + 1/4?

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Keep going: Read the lesson: Adding & Subtracting Unlike Fractions Fraction Pie & Bar Mixed Number Converter
Answer key for parents & teachers (23 questions)
  1. What is 5/6 + 1/4? — 13/12. LCD = 12. 5/6 = 10/12, 1/4 = 3/12. Sum: 13/12 = 1 and 1/12.
  2. What is 3/4 − 2/3? — 1/12. LCD = 12. 3/4 = 9/12, 2/3 = 8/12. Difference: 9/12 − 8/12 = 1/12.
  3. Kim ran 3/5 mile in the morning and 1/4 mile in the evening. How far did she run in all? — 17/20. LCD = 20. 3/5 = 12/20, 1/4 = 5/20. Sum: 17/20.
  4. What is 3/5 + 3/8? — 39/40. LCD = 40. 3/5 = 24/40, 3/8 = 15/40. Sum: 39/40.
  5. A recipe calls for ⅔ cup of sugar. You have only ¼ cup. How much more do you need? — 5/12. LCD = 12. 2/3 = 8/12, 1/4 = 3/12. Need: 8/12 − 3/12 = 5/12 cup more.
  6. What is 7/8 − 1/6? — 17/24. LCD = 24. 7/8 = 21/24, 1/6 = 4/24. Difference: 17/24.
  7. What is 1/3 + 1/6 + 1/9? — 11/18. LCD = 18. 1/3=6/18, 1/6=3/18, 1/9=2/18. Sum: 11/18.
  8. Which sum is greater than 1? — 5/6 + 1/3. 5/6 + 1/3 = 5/6 + 2/6 = 7/6 > 1. Others: 3/4, 11/15, 5/8 — all less than 1.
  9. What is 2/9 × 3/4? — 1/6. Cancel 3 and 9 (÷3): 2/3 × 1/4 = 2/12 = 1/6.
  10. What is 5/12 × 6/25? — 1/10. Cancel 6 and 12 (÷6): 5/2 × 1/25. Cancel 5 and 25 (÷5): 1/2 × 1/5 = 1/10.
  11. A garden is 3/4 acre. A farmer plants vegetables on 2/3 of it. How many acres of vegetables? — 1/2 acre. 2/3 × 3/4 = 6/12 = 1/2 acre.
  12. Which product is largest? — 4/5 × 3/4. 4/5 × 3/4 = 3/5 = 0.6. Others: 1/4=0.25, 2/9≈0.22, 3/20=0.15. Largest is 3/5.
  13. What is 1/3 × 1/3 × 1/3? — 1/27. 1/3 × 1/3 = 1/9. 1/9 × 1/3 = 1/27.
  14. A tank is 5/8 full. It holds 320 liters when full. How many liters are in it? — 200 liters. 5/8 × 320 = 5 × 40 = 200 liters.
  15. What is 3/7 × 14/9? — 2/3. Cancel 7 and 14 (÷7): 3/1 × 2/9. Cancel 3 and 9 (÷3): 1/1 × 2/3 = 2/3.
  16. Luis reads 3/4 of a book. The book has 240 pages. How many pages did he read? — 180. 3/4 × 240 = 3 × 60 = 180 pages.
  17. Mike has 2/3 of a pizza. He wants to share it equally among 4 friends. What fraction does each friend get? — 1/6. 2/3 ÷ 4 = 2/3 × 1/4 = 2/12 = 1/6.
  18. A container holds 1/4 liter. How many containers can be filled from 5 liters? — 20. 5 ÷ ¼ = 5 × 4 = 20 containers.
  19. Which model best shows 2 ÷ ½? — How many halves fit in 2 wholes = 4. 2 ÷ ½ asks "how many halves are in 2?" Each whole has 2 halves, so 2 wholes have 4 halves.
  20. What is 3/4 ÷ 3? — 1/4. 3/4 ÷ 3 = 3/4 × 1/3 = 3/12 = 1/4.
  21. A wall is 5/6 of a meter wide. A tile is 1/6 of a meter wide. How many tiles fit across the wall? — 5. 5/6 ÷ 1/6 = 5/6 × 6/1 = 30/6 = 5.
  22. What is 1/10 ÷ 10? — 1/100. 1/10 ÷ 10 = 1/10 × 1/10 = 1/100.
  23. A recipe needs 1/3 cup of oil per serving. How many servings can you make with 4 cups of oil? — 12. 4 ÷ 1/3 = 4 × 3 = 12 servings.