Let’s solve each problem step by step. We’re adding and subtracting fractions that have the same bottom number (denominator). When denominators are the same, we just add or subtract the top numbers (numerators) and keep the denominator the same.
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Problem 1:
Addition:
- 3/5 + 1/5 = (3+1)/5 =
4/5
- 1/5 + 3/5 = (1+3)/5 =
4/5
Subtraction:
- 4/5 - 1/5 = (4-1)/5 =
3/5
- 4/5 - 3/5 = (4-3)/5 =
1/5
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Problem 2:
Addition:
- 5/7 + 1/7 = (5+1)/7 =
6/7
- 1/7 + 5/7 = (1+5)/7 =
6/7
Subtraction:
- 6/7 - 1/7 = (6-1)/7 =
5/7
- 6/7 - 5/7 = (6-5)/7 =
1/7
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Problem 3:
Addition:
- 2/8 + 3/8 = (2+3)/8 =
5/8
- 3/8 + 2/8 = (3+2)/8 =
5/8
Subtraction:
- 5/8 - 2/8 = (5-2)/8 =
3/8
- 5/8 - 3/8 = (5-3)/8 =
2/8 → This can be simplified to
1/4, but since the worksheet doesn’t ask for simplifying, we’ll leave it as
2/8.
*(Note: In many classrooms, they accept unsimplified answers unless told otherwise. But if you want to simplify, 2/8 = 1/4. Let’s check the pattern — in Problem 4, they don’t simplify either, so we’ll stick with 2/8.)*
Wait — let me double-check: The worksheet shows blanks like “= ___” without specifying simplified form. Looking at Problems 1 and 2, all answers are left with original denominators. So yes, we’ll keep 2/8.
But actually — looking again at Problem 3 subtraction: 5/8 - 3/8 = 2/8. That’s correct. And 2/8 is acceptable here.
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Problem 4:
Addition:
- 3/10 + 4/10 = (3+4)/10 =
7/10
- 4/10 + 3/10 = (4+3)/10 =
7/10
Subtraction:
- 7/10 - 3/10 = (7-3)/10 =
4/10
- 7/10 - 4/10 = (7-4)/10 =
3/10
Again, no simplification needed per worksheet style.
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✔ All calculations checked.
Final Answer:
1)
Addition: 4/5, 4/5
Subtraction: 3/5, 1/5
2)
Addition: 6/7, 6/7
Subtraction: 5/7, 1/7
3)
Addition: 5/8, 5/8
Subtraction: 3/8, 2/8
4)
Addition: 7/10, 7/10
Subtraction: 4/10, 3/10
Parent Tip: Review the logic above to help your child master the concept of adding fractions worksheet 3rd grade.
