Let’s solve each row step by step.
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First Row (Green circles):
We are given:
> 1/2 = 2/4 = 3/__ = __/__ = __/__
Look at the pattern:
- First circle: half shaded → 1/2
- Second circle: 2 out of 4 parts shaded → 2/4 → same as 1/2
- Third circle: 3 out of ? parts shaded → must be equivalent to 1/2 → so denominator is 6 →
3/6
- Fourth circle: 4 out of 8 parts shaded →
4/8
- Fifth circle: 5 out of 10 parts shaded →
5/10
✔ So first row:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
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Second Row – Left (Pink circles):
First circle: 1 out of 4 →
1/4
Second circle: 2 out of 8 →
2/8 → which equals 1/4
✔ So:
1/4 = 2/8
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Second Row – Right (Blue circles):
First circle: 1 out of 5 →
1/5
Second circle: 2 out of 10 →
2/10 → which equals 1/5
✔ So:
1/5 = 2/10
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Third Row (Orange circles):
First circle: 1 out of 3 →
1/3
Second circle: 2 out of 6 →
2/6 → equals 1/3
Third circle: 3 out of 9 →
3/9 → equals 1/3
✔ So:
1/3 = 2/6 = 3/9
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Fourth Row (Purple circles):
First circle: 2 out of 3 →
2/3
Second circle: 4 out of 6 →
4/6 → equals 2/3
Third circle: 6 out of 9 →
6/9 → equals 2/3
✔ So:
2/3 = 4/6 = 6/9
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Final Answer:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
1/4 = 2/8
1/5 = 2/10
1/3 = 2/6 = 3/9
2/3 = 4/6 = 6/9
Parent Tip: Review the logic above to help your child master the concept of free equivalent fractions worksheet.