Grade 5 Fractions Practice — Easy

Question 1 of 23Score 0/0Easy

Question 1 of 23: What does LCD stand for?

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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 does LCD stand for? — Least Common Denominator. LCD stands for Least Common Denominator — the smallest number that both denominators divide into evenly.
  2. What is the LCD of 3 and 4? — 12. Multiples of 3: 3, 6, 9, 12. Multiples of 4: 4, 8, 12. The LCD is 12.
  3. What is ½ + ⅓? — 5/6. LCD = 6. ½ = 3/6, ⅓ = 2/6. Sum: 5/6.
  4. What is ¾ − ½? — 1/4. LCD = 4. ½ = 2/4. 3/4 − 2/4 = 1/4.
  5. To add fractions with unlike denominators, why must you find a common denominator? — You can only add equal-sized parts. Just like you can only count equal-sized pieces, you can only add fractions that represent the same size pieces (same denominator).
  6. What is the LCD of 4 and 6? — 12. Multiples of 4: 4, 8, 12, 16. Multiples of 6: 6, 12, 18. LCD = 12.
  7. What is ⅓ + ¼? — 7/12. LCD = 12. ⅓ = 4/12, ¼ = 3/12. Sum: 7/12.
  8. To multiply two fractions, you multiply the _____ and multiply the _____. — numerators; denominators. Fraction multiplication: multiply numerator × numerator and denominator × denominator.
  9. What is ½ × ½? — 1/4. 1×1=1, 2×2=4. Answer: 1/4.
  10. What is ⅔ × ¾? — 1/2. 2×3=6, 3×4=12. 6/12 = 1/2.
  11. What is ¾ × ⅘? — 3/5. Cancel the 4s (one is a denominator, other is a numerator). 3/1 × 1/5 = 3/5.
  12. When you multiply two proper fractions (both less than 1), the product is: — Less than either fraction. A fraction of a fraction gives a smaller piece. ½ × ½ = ¼, which is less than ½.
  13. What does "⅔ of ¾" mean mathematically? — ⅔ × ¾. "Of" in math means multiply. ⅔ of ¾ = ⅔ × ¾.
  14. What is the reciprocal of 2/3? — 3/2. The reciprocal of a/b is b/a. Reciprocal of 2/3 is 3/2.
  15. What is 11/12 × 0? — 0. Any number multiplied by 0 equals 0.
  16. What is the "Keep-Change-Flip" method? — Keep first number, change ÷ to ×, flip the second number. KCF: Keep the first value, Change ÷ to ×, Flip (use the reciprocal of) the second value.
  17. What is 4 ÷ ½? — 8. 4 ÷ ½ = 4 × 2 = 8. How many halves fit in 4? 8 halves.
  18. What is 5 ÷ ⅕? — 25. 5 ÷ ⅕ = 5 × 5 = 25. Five groups of 5 fifths each.
  19. What is ⅓ ÷ 4? — 1/12. ⅓ ÷ 4 = ⅓ × ¼ = 1/12. Splitting one-third into 4 equal parts.
  20. What is ¼ ÷ 3? — 1/12. ¼ ÷ 3 = ¼ × ⅓ = 1/12.
  21. When you divide a whole number by a fraction less than 1, the answer is: — Larger than the original number. Dividing by a fraction less than 1 is like asking "how many of these small pieces fit?" — you always get more than you started with.
  22. What is 6 ÷ ⅓? — 18. 6 ÷ ⅓ = 6 × 3 = 18. There are 3 thirds in 1 whole, so 6 × 3 = 18 thirds in 6.
  23. What is the reciprocal of ⅕? — 5. The reciprocal of 1/5 is 5/1 = 5.