Let’s go through each question one by one and solve them step by step.
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Question 1: Which fraction is equivalent to 1/2?
We need to find a fraction that has the same value as 1/2.
- Option A: 2/4 → If we divide both numerator and denominator by 2, we get 1/2.
✔ So this is equivalent.
- Option B: 1/7 → That’s much smaller than 1/2.
✘
- Option C: 4/5 → That’s close to 1, not 1/2.
✘
- Option D: 1/3 → Smaller than 1/2.
✘
✔ Correct answer:
A
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Question 2: Which fraction is equivalent to 1/3?
Check each option:
- Option A: 6/8 → Simplify: divide by 2 → 3/4 → Not 1/3.
✘
- Option B: 5/15 → Divide numerator and denominator by 5 → 1/3.
✔ Yes!
- Option C: 5/11 → Can’t simplify to 1/3.
✘
- Option D: 1/7 → Too small.
✘
✔ Correct answer:
B
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Question 3: Are these two fractions equivalent? 4/5 = 8/20
Let’s check if 4/5 equals 8/20.
Simplify 8/20: divide numerator and denominator by 4 → 2/5.
But 4/5 ≠ 2/5.
Alternatively, cross-multiply:
4 × 20 = 80
5 × 8 = 40
80 ≠ 40 → Not equivalent.
✔ Correct answer:
C (No)
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Question 4: Are these two fractions equivalent? 1/5 = 20/100
Simplify 20/100: divide numerator and denominator by 20 → 1/5.
Yes! They are equal.
Or cross-multiply:
1 × 100 = 100
5 × 20 = 100
Equal → Equivalent.
✔ Correct answer:
B (Yes)
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Question 5: Are these two fractions equivalent? 7/12 = 14/36
Simplify 14/36: divide numerator and denominator by 2 → 7/18.
But 7/12 ≠ 7/18.
Cross-multiply:
7 × 36 = 252
12 × 14 = 168
252 ≠ 168 → Not equivalent.
✔ Correct answer:
A (No)
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Final Answer:
1. A
2. B
3. C
4. B
5. A
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet 6th grade.