Grade 4 Fractions & Decimals Practice — Medium

Question 1 of 42Score 0/0Medium

Question 1 of 42: Order from least to greatest: 1/4, 3/4, 1/2

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Keep going: Read the lesson: Fraction Equivalence & Ordering Fraction Pie & Bar Fraction Simplifier
Answer key for parents & teachers (42 questions)
  1. Order from least to greatest: 1/4, 3/4, 1/2 — 1/4, 1/2, 3/4. Common denominator 4: 1/4 < 2/4 < 3/4. So 1/4 < 1/2 < 3/4.
  2. Which fraction is between 1/3 and 1/2? — 2/5. Convert: 1/3≈0.333, 2/5=0.4, 1/2=0.5. 2/5 is between 1/3 and 1/2.
  3. What is the LCD of 1/4 and 1/6? — 12. LCD(4,6)=12. 1/4=3/12 and 1/6=2/12.
  4. Compare 5/6 and 7/8. Which is larger? — 7/8. 5/6=20/24 and 7/8=21/24. Since 21>20, 7/8 > 5/6.
  5. Which set of fractions are ALL equivalent? — 1/2, 2/4, 3/6. 1/2 = 2/4 = 3/6 (all equal 0.5). The others are not all equal.
  6. Order from greatest to least: 2/3, 3/5, 7/10 — 2/3, 7/10, 3/5. LCD=30: 2/3=20/30, 3/5=18/30, 7/10=21/30. Greatest to least: 21/30 > 20/30 > 18/30 → 7/10 > 2/3 > 3/5.
  7. Which fraction is closest to 1? — 9/10. 9/10 = 0.9 is closest to 1 among the choices. The difference from 1 is only 1/10.
  8. Fill in the blank: 5/8 = __/24 — 15. 8×3=24, so multiply numerator by 3: 5×3=15. 5/8=15/24.
  9. A pizza has 8 slices. You ate 3/8. Your friend ate 2/4. Who ate more? — Same amount. 3/8 and 2/4=4/8. Wait — 2/4=4/8 > 3/8. Friend ate more. Actually 2/4=4/8 ≠ 3/8. Friend ate more.
  10. 5/8 + 6/8 = ? — Both A and C. 5+6=11; 11/8 is an improper fraction. Converting: 11÷8=1 remainder 3, so 11/8 = 1 3/8. Both A and C are correct forms!
  11. What is 8/5 expressed as a mixed number? — 1 3/5. 8 ÷ 5 = 1 remainder 3. So 8/5 = 1 3/5.
  12. Add and simplify: 2/6 + 2/6 — Both A and C. 2/6 + 2/6 = 4/6. Simplify: 4/6 ÷ 2/2 = 2/3. Both 4/6 and 2/3 are correct!
  13. A tank is 7/10 full. After using 3/10, how full is the tank? — 4/10 full. 7/10 − 3/10 = 4/10. The tank is 4/10 (or 2/5) full.
  14. What is 4/12 + 6/12 and simplify? — Both A and B. 4/12 + 6/12 = 10/12. Simplify by dividing by 2: 5/6. Both 10/12 and 5/6 are valid.
  15. Three students each run 3/7 of a mile. What total distance did they run? — Both A and B. 3/7 + 3/7 + 3/7 = 9/7. Convert: 9÷7=1 r2, so 1 2/7. Both are correct!
  16. What must be TRUE before you can add fractions by just adding numerators? — Denominators must be equal (like denominators). You can only add numerators directly when the denominators are the SAME (like denominators).
  17. Subtract: 7/8 − 3/8 = ? — Both A and B. 7/8 − 3/8 = 4/8. Simplify: 4/8 = 1/2. Both answers are correct!
  18. Fill in: 3/7 + ___ = 1 (one whole) — 4/7. 1 = 7/7. 7/7 − 3/7 = 4/7. So 3/7 + 4/7 = 7/7 = 1.
  19. Convert 3 5/8 to an improper fraction. — 29/8. (3 × 8) + 5 = 24 + 5 = 29. So 3 5/8 = 29/8.
  20. Which of these improper fractions equals 2 1/6? — 13/6. (2×6)+1 = 13. So 2 1/6 = 13/6.
  21. Order from least to greatest: 2 3/4, 11/4, 3 1/4 — 11/4, 2 3/4, 3 1/4. 11/4 = 2 3/4. So: 11/4 = 2 3/4 < 3 1/4. Least to greatest: 11/4 = 2 3/4, then 3 1/4.
  22. Add: 1 2/5 + 2 4/5 = ? — 4 1/5. Whole: 1+2=3. Fractions: 2/5+4/5=6/5=1 1/5. Total: 3 + 1 1/5 = 4 1/5.
  23. Which is equivalent to 10/4 in simplest form? — Both A and C. 10/4 = 5/2 = 2 1/2. A and C both represent the same simplified value.
  24. Subtract: 4 1/3 − 1 2/3 = ? — 2 2/3. Convert: 4 1/3 = 13/3; 1 2/3 = 5/3. 13/3 − 5/3 = 8/3 = 2 2/3.
  25. A recipe needs 2 3/4 cups. You only have 1 1/4 cups. How much MORE do you need? — 1 1/2. 2 3/4 − 1 1/4 = 1 2/4 = 1 1/2. You need 1 1/2 more cups.
  26. 6 × (3/4) = ? Express as a mixed number. — All of the above (they are equal). 6 × 3 = 18; 18/4 = 4 2/4 = 4 1/2. All three forms are equal!
  27. A bag of rice is 3/4 kg. If you buy 7 bags, how many kilograms total? — Both A and B. 7 × (3/4) = 21/4. Convert: 21÷4=5 r1, so 5 1/4. Both A and B are equivalent!
  28. Which multiplication gives a result GREATER than 5? — 5 × (5/4). Only 5 × (5/4) > 5 because 5/4 > 1. Multiplying by a fraction > 1 gives a result larger than the whole number!
  29. Sara jogs 2/5 of a mile each day. How far does she jog in 10 days? — Both A and B. 10 × (2/5) = 20/5 = 4 miles. A and B both equal 4 miles!
  30. Convert the answer to 9 × (5/6) to a mixed number. — 7 1/2. 9 × 5 = 45; 45/6. Simplify: 45÷6=7 r3. 45/6 = 7 3/6 = 7 1/2.
  31. Why is 4 × (3/8) equal to 3/8 + 3/8 + 3/8 + 3/8? — Multiplication is a shortcut for repeated addition. Multiplying a fraction by a whole number IS repeated addition of that fraction! 4 × (3/8) = add 3/8 four times.
  32. 12 × (1/3) = ? — Both A and B. 12 × 1 = 12; 12/3 = 4. 12/3 and 4 are equivalent!
  33. A fence panel is 3/5 m long. 15 panels in a row. Total fence length? — Both A and B. 15 × (3/5) = 45/5 = 9 m. A and B are both correct!
  34. Which is larger: 0.7 or 0.07? — 0.7. 0.7 = 0.70. Compare tenths: 7 > 0, so 0.7 > 0.07.
  35. What is 45/100 written as a decimal? — 0.45. 45/100 = 0.45 (45 hundredths).
  36. Which decimal is equivalent to 3/5? — 0.6. 3/5 = 6/10 = 0.6.
  37. Order from least to greatest: 0.3, 0.03, 0.33 — 0.03, 0.3, 0.33. 0.03 < 0.30 < 0.33 (compare digit by digit after aligning decimal points).
  38. A pencil is 0.18 m long. Write this as a fraction. — 18/100. 0.18 = 18 hundredths = 18/100.
  39. What decimal is halfway between 0.4 and 0.5? — 0.45. (0.4 + 0.5) ÷ 2 = 0.9 ÷ 2 = 0.45.
  40. Which of these is closest to 1? 0.9, 0.99, 0.09, 0.19 — 0.99. 0.99 is only 0.01 away from 1, which is closer than 0.9 (0.10 away).
  41. Add: 0.3 + 0.4 = ? — 0.7. 0.3 + 0.4 = 0.7.
  42. Write 2 and 7 hundredths as a decimal. — 2.07. 2 and 7 hundredths = 2.07 (the 7 is in the hundredths place, so tenths digit is 0).