Let’s solve each problem step by step.
All the problems are adding fractions with the same denominator. That means we just add the top numbers (numerators) and keep the bottom number (denominator) the same.
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Problem 1:
4/11 + 6/11
→ Add numerators: 4 + 6 = 10
→ Keep denominator: 11
→ Answer: 10/11
Problem 2:
12/40 + 11/40
→ Add numerators: 12 + 11 = 23
→ Keep denominator: 40
→ Answer: 23/40
Problem 3:
12/33 + 9/33
→ Add numerators: 12 + 9 = 21
→ Keep denominator: 33
→ Answer: 21/33
→ Can simplify? 21 and 33 are both divisible by 3 → 21÷3=7, 33÷3=11 → 7/11
→ But since the worksheet doesn’t ask to simplify, we’ll leave as 21/33 unless told otherwise. However, in 5th grade, simplifying is often expected. Let’s check if other answers need simplifying — actually, looking at the rest, they don’t simplify neatly. So maybe we leave as is? Wait — let’s see what’s standard. In most 5th grade worksheets, if it simplifies, you should simplify. So I’ll simplify where possible.
Actually, let’s re-check all for simplification after solving.
But to be safe, I’ll solve first, then simplify if needed.
Wait — the instruction says “solve accurately”. So we should give simplified answers if possible.
Let’s redo with simplification in mind.
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Problem 1: 4/11 + 6/11 = 10/11 → already simplified.
Problem 2: 12/40 + 11/40 = 23/40 → 23 is prime, doesn’t divide 40 → simplified.
Problem 3: 12/33 + 9/33 = 21/33 → divide numerator and denominator by 3 → 7/11.
Problem 4: 6/21 + 5/21 = 11/21 → 11 is prime, doesn’t divide 21 → simplified.
Problem 5: 3/13 + 8/13 = 11/13 → simplified.
Problem 6: 5/22 + 7/22 = 12/22 → divide by 2 → 6/11.
Problem 7: 13/35 + 11/35 = 24/35 → 24 and 35 share no common factors → simplified.
Problem 8: 11/43 + 18/43 = 29/43 → 29 is prime, doesn’t divide 43 → simplified.
So final answers with simplification:
1. 10/11
2. 23/40
3. 7/11
4. 11/21
5. 11/13
6. 6/11
7. 24/35
8. 29/43
Wait — let me double-check problem 6: 5+7=12, over 22 → 12/22 → divide by 2 → 6/11 ✔️
Problem 3: 12+9=21, over 33 → 21/33 → ÷3 → 7/11 ✔️
All others don’t simplify.
Okay, confident now.
Final Answer:
1. 10/11
2. 23/40
3. 7/11
4. 11/21
5. 11/13
6. 6/11
7. 24/35
8. 29/43
Parent Tip: Review the logic above to help your child master the concept of grade 5 math worksheets pdf.