Let’s solve each row step by step.
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First Row (Green circles):
We are given:
- 1/2 = 2/4 = ?/? = ?/? = ?/?
Look at the circles:
1. First circle: half is green → 1/2
2. Second circle: divided into 4 parts, 2 green → 2/4
3. Third circle: divided into 6 parts, 3 green →
3/6
4. Fourth circle: divided into 8 parts, 4 green →
4/8
5. Fifth circle: divided into 10 parts, 5 green →
5/10
So the pattern is: numerator and denominator both increase by 1 and 2 respectively? Actually, it's multiplying top and bottom by same number:
1/2 × 2/2 = 2/4
1/2 × 3/3 = 3/6
1/2 × 4/4 = 4/8
1/2 × 5/5 = 5/10
✔ So first row:
1/2 = 2/4 = 3/6 = 4/8 = 5/10
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Second Row (Pink and Blue circles — two separate problems)
Left side (pink):
- First circle: 4 parts, 1 pink → 1/4
- Second circle: 8 parts, 2 pink → 2/8
Check: 1/4 = 2/8? Yes, because 1×2=2, 4×2=8.
→ So:
1/4 = 2/8
Right side (blue):
- First circle: 5 parts, 1 blue → 1/5
- Second circle: 10 parts, 2 blue → 2/10
Check: 1/5 = 2/10? Yes, multiply top and bottom by 2.
→ So:
1/5 = 2/10
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Third Row (Orange circles):
Three circles:
1. Divided into 3 parts, 1 orange → 1/3
2. Divided into 6 parts, 2 orange → 2/6
3. Divided into 9 parts, 3 orange → 3/9
Check equivalence:
1/3 = 2/6? → 1×2=2, 3×2=6 → yes
1/3 = 3/9? → 1×3=3, 3×3=9 → yes
→ So:
1/3 = 2/6 = 3/9
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Fourth Row (Purple circles):
Three circles:
1. Divided into 3 parts, 2 purple → 2/3
2. Divided into 6 parts, 4 purple → 4/6
3. Divided into 9 parts, 6 purple → 6/9
Check:
2/3 = 4/6? → 2×2=4, 3×2=6 → yes
2/3 = 6/9? → 2×3=6, 3×3=9 → yes
→ So:
2/3 = 4/6 = 6/9
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Final Answer:
First row:
1/2 = 2/4 =
3/6 =
4/8 =
5/10
Second row (left):
1/4 =
2/8
Second row (right):
1/5 =
2/10
Third row:
1/3 =
2/6 =
3/9
Fourth row:
2/3 =
4/6 =
6/9
Parent Tip: Review the logic above to help your child master the concept of write equivalent fractions worksheet.
