Grade 3 Fractions Practice โ€” Hard

Question 1 of 25Score 0/0Hard

Question 1 of 25: Arrange in order from SMALLEST to LARGEST: 1/8, 1/3, 1/6, 1/2.

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Keep going: Read the lesson: Unit Fractions Number Line Plotter Fraction Pie & Bar
Answer key for parents & teachers (25 questions)
  1. Arrange in order from SMALLEST to LARGEST: 1/8, 1/3, 1/6, 1/2. โ€” 1/8, 1/6, 1/3, 1/2. Largest denominator = smallest piece. Order: 1/8 < 1/6 < 1/3 < 1/2!
  2. How many 1/4 pieces make 1/2? โ€” 2. 1/4 + 1/4 = 2/4 = 1/2. Two quarter-pieces make one half!
  3. A farmer divides his land into 8 equal plots and plants on one plot. What fraction did he plant? โ€” 1/8. 1 plot out of 8 equal plots = 1/8 of the land!
  4. A number line goes from 0 to 2 and is divided into halves. How many marks are there (not counting 0)? โ€” 4. 0, 1/2, 1, 3/2, 2 โ€” that is 4 marks after 0!
  5. On a number line from 0 to 2 in halves, what number is at the 3rd mark? โ€” 3/2. Marks: 0, 1/2, 1, 3/2, 2. The 3rd mark (after 0) is 3/2 (one and a half)!
  6. Order from least to greatest: 1/4, 3/4, 0/4, 2/4. โ€” 0/4, 1/4, 2/4, 3/4. On the number line: 0/4=0, 1/4, 2/4, 3/4. Least to greatest: 0/4, 1/4, 2/4, 3/4!
  7. On a number line in thirds, Tom is at 1/3 and walks 1 more jump. Where does he land? โ€” 2/3. 1/3 + 1/3 = 2/3. One more jump of 1/3 lands at 2/3!
  8. Which fraction is EQUAL to 1 whole? โ€” 6/6. 6/6 = 1 whole. When numerator equals denominator, the fraction is exactly 1!
  9. How many sixths equal 2/3? โ€” 4. 2/3 ร— 2/2 = 4/6. Four sixths equal two-thirds!
  10. Which pair are equivalent? โ€” 2/5 and 4/10. 2/5 ร— 2/2 = 4/10. Cross-check: 2ร—10=20 and 5ร—4=20. They ARE equivalent!
  11. Simplify 6/8 to an equivalent fraction with smaller numbers. โ€” 3/4. 6/8 รท 2/2 = 3/4. Dividing numerator and denominator by 2 gives the simpler equivalent!
  12. Simplify 4/6. โ€” 2/3. 4/6 รท 2/2 = 2/3. Divide both by their common factor (2)!
  13. Fill in: 3/4 = 9/__ โ€” 12. 3ร—3=9, so 4ร—3=12. The missing denominator is 12!
  14. Which list shows fractions all equivalent to 1/4? โ€” 2/8, 3/12, 4/16. 2/8 = 1/4; 3/12 = 1/4; 4/16 = 1/4. All equivalent to 1/4!
  15. A class of 6 students made 4/6 of a project. Another group of 9 students made 6/9. Did they complete the same fraction? โ€” Yes โ€” both equal 2/3. 4/6 = 2/3 and 6/9 = 2/3. Both groups completed the same fraction of their project!
  16. True or False: 1/2 = 50/100. โ€” True. True! 1/2 ร— 50/50 = 50/100. They are equivalent fractions (and also decimals โ€” 0.5)!
  17. Which fraction is equivalent to 3/5? โ€” 6/10. 3/5 ร— 2/2 = 6/10. Cross-check: 3ร—10=30 and 5ร—6=30. YES!
  18. Which comparison is INCORRECT? โ€” 3/4 < 3/8. 3/4 > 3/8 (same numerator; smaller denominator = bigger fraction). The statement 3/4 < 3/8 is INCORRECT!
  19. A student has 5/8 of a pizza. Another has 3/4. Who has more? โ€” 3/4. 3/4 = 6/8. Since 6/8 > 5/8, the student with 3/4 has more!
  20. Compare 4/6 and 2/3. Which is correct? โ€” 4/6 = 2/3. 4/6 = 2/3 (they are equivalent fractions). 4/6 = 2/3!
  21. Order from greatest to least: 5/6, 1/3, 2/3. โ€” 5/6, 2/3, 1/3. All sixths: 5/6 > 4/6(=2/3) > 2/6(=1/3). Order: 5/6, 2/3, 1/3!
  22. Put in order from least to greatest: 1/8, 1/2, 3/8, 5/8. โ€” 1/8, 3/8, 1/2, 5/8. 1/8 < 3/8 < 4/8(=1/2) < 5/8. Order: 1/8, 3/8, 1/2, 5/8!
  23. Which fraction is closer to 1: 7/8 or 5/6? โ€” 7/8 โ€” it is larger than 5/6. 7/8 needs 1/8 more to reach 1. 5/6 needs 1/6 more. 1/8 < 1/6, so 7/8 is closer to 1!
  24. Which strategy is best for comparing 5/8 and 7/12? โ€” Same denominator โ€” compare numerators. Find a common denominator (24): 5/8 = 15/24; 7/12 = 14/24. Then compare numerators: 15 > 14, so 5/8 > 7/12!
  25. True or False: The fraction with the larger denominator is always the larger fraction. โ€” False โ€” larger denominator means smaller pieces (for unit fractions). False! For unit fractions (same numerator), larger denominator = SMALLER fraction. Always check the context!