Let's solve the
Equivalent Fractions worksheet step by step. The goal is to look at each pair of pie charts and write the equivalent fractions in the boxes below them.
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🔍 Understanding Equivalent Fractions
Two fractions are
equivalent if they represent the
same portion of a whole, even if the number of parts is different.
For example:
- ½ = 2/4 = 3/6 = 4/8 — all represent half of a circle.
We'll analyze each row.
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✔ Row-by-Row Solutions
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1. First Row (Yellow Circles)
- Left circle: Divided into 3 parts, 2 shaded →
2/3
- Right circle: Divided into 6 parts, 4 shaded →
4/6
✔ Already given:
2/3 = 4/6 ✔️
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2. Second Row (Red & White)
- Left circle: Divided into 2 parts, 1 shaded →
1/2
- Right circle: Divided into 6 parts, 3 shaded →
3/6
✔ So:
1/2 = 3/6
>
✔ Answer:
> Left box:
1/2
> Right box:
3/6
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3. Third Row (Green & White)
- Left circle: Divided into 2 parts, 1 shaded →
1/2
- Right circle: Divided into 4 parts, 2 shaded →
2/4
✔ So:
1/2 = 2/4
>
✔ Answer:
> Left box:
1/2
> Right box:
2/4
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4. Fourth Row (Purple & White)
- Left circle: Divided into 2 parts, both shaded →
2/2 = 1
- Right circle: Divided into 4 parts, all shaded →
4/4 = 1
✔ So:
2/2 = 4/4
>
✔ Answer:
> Left box:
2/2
> Right box:
4/4
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5. Fifth Row (Green & White)
- Left circle: Divided into 3 parts, 2 shaded →
2/3
- Right circle: Divided into 9 parts, 6 shaded →
6/9
✔ Check: 2/3 = 6/9?
Yes! Multiply numerator and denominator by 3:
2×3=6, 3×3=9 → 6/9
>
✔ Answer:
> Left box:
2/3
> Right box:
6/9
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6. Sixth Row (Blue & White)
- Left circle: Divided into 4 parts, 3 shaded →
3/4
- Right circle: Divided into 8 parts, 6 shaded →
6/8
✔ Check: 3/4 = 6/8?
Yes! Multiply numerator and denominator by 2:
3×2=6, 4×2=8 → 6/8
>
✔ Answer:
> Left box:
3/4
> Right box:
6/8
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##
✔ Final Answers:
| Pair | Left Fraction | Right Fraction |
|------|----------------|----------------|
| 1 | 2/3 | 4/6 |
| 2 |
1/2 |
3/6 |
| 3 |
1/2 |
2/4 |
| 4 |
2/2 |
4/4 |
| 5 |
2/3 |
6/9 |
| 6 |
3/4 |
6/8 |
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📝 Summary of How to Solve:
1. Count total parts in each circle → denominator
2. Count shaded parts → numerator
3. Compare two fractions; they should be equal (equivalent)
4. Write the fractions in the boxes
💡 Tip: If one fraction is simplified (like 1/2), you can multiply both top and bottom by the same number to get an equivalent fraction.
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✔ All answers filled correctly!
Let me know if you'd like this as a printable version or with visual explanations!
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet for grade 4.
