Let’s solve each problem one by one. We’re looking for which set of fractions adds up to the given fraction.
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Problem 1: Which equals 4/5?
We need to add the fractions in each option and see which sum is 4/5.
Option A: 1/5 + 2/5 = 3/5 → Not 4/5
Option B: 1/5 + 1/5 + 1/5 + 1/5 = 4/5 →
✔ This works!
Option C: 1/5 + 1/5 = 2/5 → Too small
Option D: 1/5 + 1/5 + 1/5 = 3/5 → Still not enough
✔ So,
B is correct for #1.
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Problem 2: Which equals 7/8?
Option A: 3/8 + 3/8 = 6/8 → Not 7/8
Option B: 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 7/8 →
✔ Yes!
Option C: 1/8 + 1/8 + 1/8 = 3/8 → Too small
Option D: 1/8 + 1/8 + 1/8 + 1/8 = 4/8 → Still too small
✔ So,
B is correct for #2.
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Problem 3: Which equals 5/6?
Option A: 1/6 + 1/6 = 2/6 → Too small
Option B: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6 →
✔ Perfect!
Option C: 1/6 + 1/6 + 1/6 = 3/6 → Not enough
Option D: 1/6 + 1/6 + 1/6 + 1/6 = 4/6 → Close, but still short
✔ So,
B is correct for #3.
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Problem 4: Which equals 9/10?
Option A: 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 = 9/10 →
✔ Yes!
Option B: 1/10 + 1/10 + 1/10 + 1/10 + 1/10 = 5/10 → Too small
Option C: 1/10 + 1/10 = 2/10 → Way too small
Option D: 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 = 6/10 → Still not enough
✔ So,
A is correct for #4.
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Problem 5: Which equals 6/7?
Option A: 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 = 6/7 →
✔ Exactly right!
Option B: 1/7 + 1/7 + 1/7 = 3/7 → Too small
Option C: 1/7 + 1/7 = 2/7 → Even smaller
Option D: 1/7 + 1/7 + 1/7 + 1/7 = 4/7 → Still not enough
✔ So,
A is correct for #5.
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Final Answer:
1. B
2. B
3. B
4. A
5. A
Parent Tip: Review the logic above to help your child master the concept of decomposing and composing fractions worksheet.
