Example output · Teacher AI
What the Worksheet & Practice Material Generator actually produces
Takes a subject, grade level, topic, worksheet type, and number of problems, then generates a fully structured, tiered student worksheet, a step-by-step answer key with worked solutions, and a real-world extension activity — all in one pass.
- Subject:
- Mathematics
- Grade Level:
- 6th Grade
- Topic:
- Fractions – Adding and Subtracting Unlike Denominators
- Worksheet Type:
- Practice Problems with Answer Key
- Number Of Problems:
- 20
FRACTIONS – ADDING AND SUBTRACTING UNLIKE DENOMINATORS Name: ________________________________ Date: ________________ DIRECTIONS: Add or subtract the fractions below. Remember to find a common denominator before adding or subtracting. Simplify your answers to lowest terms when possible. Show all of your work. ═══════════════════════════════════════════════════════════════════ EASY PROBLEMS (1-6) 1. 1/2 + 1/4 = ? 2. 3/4 - 1/2 = ? 3. 1/3 + 1/6 = ? 4. 5/6 - 1/3 = ? 5. 1/2 + 1/8 = ? 6. 3/4 + 1/8 = ? ═══════════════════════════════════════════════════════════════════ MEDIUM PROBLEMS (7-14) 7. 2/3 + 1/4 = ? 8. 5/6 - 1/4 = ? 9. 3/5 + 1/2 = ? 10. 7/8 - 1/3 = ? 11. 2/5 + 3/10 = ? 12. 4/9 + 1/3 = ? 13. 5/12 + 1/4 = ? 14. 11/12 - 1/3 = ? ═══════════════════════════════════════════════════════════════════ CHALLENGING PROBLEMS (15-20) 15. 3/7 + 2/5 = ? 16. 7/9 - 2/5 = ? 17. 5/8 + 3/10 = ? 18. 11/15 - 2/5 = ? 19. 4/11 + 3/8 = ? 20. 13/18 - 1/4 = ? ═══════════════════════════════════════════════════════════════════
ANSWER KEY – FRACTIONS: ADDING AND SUBTRACTING UNLIKE DENOMINATORS EASY PROBLEMS 1. 1/2 + 1/4 = ? Working: LCD = 4. Convert 1/2 = 2/4. Then 2/4 + 1/4 = 3/4. Answer: 3/4 Verification: 2/4 + 1/4 = (2+1)/4 = 3/4 ✓ 2. 3/4 - 1/2 = ? Working: LCD = 4. Convert 1/2 = 2/4. Then 3/4 - 2/4 = 1/4. Answer: 1/4 Verification: 3/4 - 2/4 = (3-2)/4 = 1/4 ✓ 3. 1/3 + 1/6 = ? Working: LCD = 6. Convert 1/3 = 2/6. Then 2/6 + 1/6 = 3/6 = 1/2. Answer: 1/2 Verification: 2/6 + 1/6 = 3/6. Simplify: 3/6 ÷ 3 = 1/2 ✓ 4. 5/6 - 1/3 = ? Working: LCD = 6. Convert 1/3 = 2/6. Then 5/6 - 2/6 = 3/6 = 1/2. Answer: 1/2 Verification: 5/6 - 2/6 = 3/6. Simplify: 3/6 ÷ 3 = 1/2 ✓ 5. 1/2 + 1/8 = ? Working: LCD = 8. Convert 1/2 = 4/8. Then 4/8 + 1/8 = 5/8. Answer: 5/8 Verification: 4/8 + 1/8 = (4+1)/8 = 5/8 ✓ 6. 3/4 + 1/8 = ? Working: LCD = 8. Convert 3/4 = 6/8. Then 6/8 + 1/8 = 7/8. Answer: 7/8 Verification: 6/8 + 1/8 = (6+1)/8 = 7/8 ✓ ───────────────────────────────────────────────────────────────── MEDIUM PROBLEMS 7. 2/3 + 1/4 = ? Working: LCD = 12. Convert 2/3 = 8/12 and 1/4 = 3/12. Then 8/12 + 3/12 = 11/12. Answer: 11/12 Verification: (2×4)/(3×4) = 8/12; (1×3)/(4×3) = 3/12. Then 8/12 + 3/12 = 11/12 ✓ 8. 5/6 - 1/4 = ? Working: LCD = 12. Convert 5/6 = 10/12 and 1/4 = 3/12. Then 10/12 - 3/12 = 7/12. Answer: 7/12 Verification: (5×2)/(6×2) = 10/12; (1×3)/(4×3) = 3/12. Then 10/12 - 3/12 = 7/12 ✓ 9. 3/5 + 1/2 = ? Working: LCD = 10. Convert 3/5 = 6/10 and 1/2 = 5/10. Then 6/10 + 5/10 = 11/10 = 1 1/10. Answer: 11/10 or 1 1/10 Verification: (3×2)/(5×2) = 6/10; (1×5)/(2×5) = 5/10. Then 6/10 + 5/10 = 11/10 ✓ 10. 7/8 - 1/3 = ? Working: LCD = 24. Convert 7/8 = 21/24 and 1/3 = 8/24. Then 21/24 - 8/24 = 13/24. Answer: 13/24 Verification: (7×3)/(8×3) = 21/24; (1×8)/(3×8) = 8/24. Then 21/24 - 8/24 = 13/24 ✓ 11. 2/5 + 3/10 = ? Working: LCD = 10. Convert 2/5 = 4/10. Then 4/10 + 3/10 = 7/10. Answer: 7/10 Verification: (2×2)/(5×2) = 4/10. Then 4/10 + 3/10 = 7/10 ✓ 12. 4/9 + 1/3 = ? Working: LCD = 9. Convert 1/3 = 3/9. Then 4/9 + 3/9 = 7/9. Answer: 7/9 Verification: (1×3)/(3×3) = 3/9. Then 4/9 + 3/9 = 7/9 ✓ 13. 5/12 + 1/4 = ? Working: LCD = 12. Convert 1/4 = 3/12. Then 5/12 + 3/12 = 8/12 = 2/3. Answer: 8/12 or 2/3 Verification: (1×3)/(4×3) = 3/12. Then 5/12 + 3/12 = 8/12. Simplify: 8/12 ÷ 4 = 2/3 ✓ 14. 11/12 - 1/3 = ? Working: LCD = 12. Convert 1/3 = 4/12. Then 11/12 - 4/12 = 7/12. Answer: 7/12 Verification: (1×4)/(3×4) = 4/12. Then 11/12 - 4/12 = 7/12 ✓ ───────────────────────────────────────────────────────────────── CHALLENGING PROBLEMS 15. 3/7 + 2/5 = ? Working: LCD = 35. Convert 3/7 = 15/35 and 2/5 = 14/35. Then 15/35 + 14/35 = 29/35. Answer: 29/35 Verification: (3×5)/(7×5) = 15/35; (2×7)/(5×7) = 14/35. Then 15/35 + 14/35 = 29/35 ✓ 16. 7/9 - 2/5 = ? Working: LCD = 45. Convert 7/9 = 35/45 and 2/5 = 18/45. Then 35/45 - 18/45 = 17/45. Answer: 17/45 Verification: (7×5)/(9×5) = 35/45; (2×9)/(5×9) = 18/45. Then 35/45 - 18/45 = 17/45 ✓ 17. 5/8 + 3/10 = ? Working: LCD = 40. Convert 5/8 = 25/40 and 3/10 = 12/40. Then 25/40 + 12/40 = 37/40. Answer: 37/40 Verification: (5×5)/(8×5) = 25/40; (3×4)/(10×4) = 12/40. Then 25/40 + 12/40 = 37/40 ✓ 18. 11/15 - 2/5 = ? Working: LCD = 15. Convert 2/5 = 6/15. Then 11/15 - 6/15 = 5/15 = 1/3. Answer: 5/15 or 1/3 Verification: (2×3)/(5×3) = 6/15. Then 11/15 - 6/15 = 5/15. Simplify: 5/15 ÷ 5 = 1/3 ✓ 19. 4/11 + 3/8 = ? Working: LCD = 88. Convert 4/11 = 32/88 and 3/8 = 33/88. Then 32/88 + 33/88 = 65/88. Answer: 65/88 Verification: (4×8)/(11×8) = 32/88; (3×11)/(8×11) = 33/88. Then 32/88 + 33/88 = 65/88 ✓ 20. 13/18 - 1/4 = ? Working: LCD = 36. Convert 13/18 = 26/36 and 1/4 = 9/36. Then 26/36 - 9/36 = 17/36. Answer: 17/36 Verification: (13×2)/(18×2) = 26/36; (1×9)/(4×9) = 9/36. Then 26/36 - 9/36 = 17/36 ✓
EXTENSION ACTIVITY: FRACTION WORD PROBLEMS AND APPLICATIONS Directions: Solve the following real-world problems involving adding and subtracting fractions with unlike denominators. Show all your work and write your answer as a complete sentence. 1. RECIPE PROBLEM Maria is making trail mix. She adds 3/4 cup of almonds and 1/3 cup of raisins. How many cups of trail mix does she have so far? Answer: 3/4 + 1/3 = 9/12 + 4/12 = 13/12 = 1 1/12 cups of trail mix 2. DISTANCE PROBLEM On Monday, Marco ran 5/6 mile. On Tuesday, he ran 2/3 mile. How much more did he run on Monday than Tuesday? Answer: 5/6 - 2/3 = 5/6 - 4/6 = 1/6 mile more on Monday 3. FABRIC PROBLEM A tailor has 7/8 yard of blue fabric and 5/12 yard of red fabric. How much fabric does the tailor have in total? Answer: 7/8 + 5/12. LCD = 24. 7/8 = 21/24; 5/12 = 10/24. So 21/24 + 10/24 = 31/24 = 1 7/24 yards 4. TIME PROBLEM A student spent 3/4 hour on math homework and 1/3 hour on science homework. How much more time did the student spend on math than science? Answer: 3/4 - 1/3 = 9/12 - 4/12 = 5/12 hour more on math 5. CHALLENGE: MULTI-STEP PROBLEM A baker uses 1/2 cup of sugar in a cake, 1/4 cup in cookies, and 1/6 cup in frosting. How much sugar does the baker use in total? Answer: 1/2 + 1/4 + 1/6. LCD = 12. 1/2 = 6/12; 1/4 = 3/12; 1/6 = 2/12. So 6/12 + 3/12 + 2/12 = 11/12 cup of sugar total ───────────────────────────────────────────────────────────────── CREATIVE APPLICATION: Create your own word problem that requires adding or subtracting fractions with unlike denominators. Write the problem, solve it with all steps shown, and then exchange with a classmate to check each other's work. My Problem: _________________________________________________________________ _________________________________________________________________ Solution: _________________________________________________________________ _________________________________________________________________
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