Let's solve the
"Color & Compare Fractions" worksheet step by step.
🎯 Goal:
For each pair of fractions:
1.
Color the shapes to represent each fraction.
2.
Compare the two fractions using the correct symbol: `<`, `>`, or `=`.
We’ll go through each row and explain how to compare the fractions.
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🔹 1. $\frac{1}{3} \quad \circ \quad \frac{2}{3}$
-
Shape: Rectangle divided into 3 equal parts.
- Color 1 part for $\frac{1}{3}$, 2 parts for $\frac{2}{3}$.
- Since $1 < 2$, we have:
✔ $\frac{1}{3} < \frac{2}{3}$
---
🔹 2. $\frac{3}{5} \quad \circ \quad \frac{2}{5}$
-
Shape: Circle divided into 5 equal parts.
- Color 3 parts for $\frac{3}{5}$, 2 parts for $\frac{2}{5}$.
- Since $3 > 2$, we have:
✔ $\frac{3}{5} > \frac{2}{5}$
---
🔹 3. $\frac{2}{4} \quad \circ \quad \frac{3}{4}$
-
Shape: Hexagon divided into 4 parts (maybe a mistake? But assume it’s 4 sections).
- Color 2 parts for $\frac{2}{4}$, 3 parts for $\frac{3}{4}$.
- Since $2 < 3$, we have:
✔ $\frac{2}{4} < \frac{3}{4}$
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🔹 4. $\frac{1}{8} \quad \circ \quad \frac{4}{8}$
-
Shape: Octagon divided into 8 equal parts.
- Color 1 part for $\frac{1}{8}$, 4 parts for $\frac{4}{8}$.
- Since $1 < 4$, we have:
✔ $\frac{1}{8} < \frac{4}{8}$
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🔹 5. $\frac{4}{5} \quad \circ \quad \frac{2}{5}$
-
Shape: Pentagon divided into 5 parts.
- Color 4 parts for $\frac{4}{5}$, 2 parts for $\frac{2}{5}$.
- Since $4 > 2$, we have:
✔ $\frac{4}{5} > \frac{2}{5}$
---
🔹 6. $\frac{4}{6} \quad \circ \quad \frac{2}{6}$
-
Shape: Rectangle divided into 6 parts.
- Color 4 parts for $\frac{4}{6}$, 2 parts for $\frac{2}{6}$.
- Since $4 > 2$, we have:
✔ $\frac{4}{6} > \frac{2}{6}$
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🔹 7. $\frac{3}{5} \quad \circ \quad \frac{1}{5}$
-
Shape: Star divided into 5 parts.
- Color 3 parts for $\frac{3}{5}$, 1 part for $\frac{1}{5}$.
- Since $3 > 1$, we have:
✔ $\frac{3}{5} > \frac{1}{5}$
---
🔹 8. $\frac{2}{7} \quad \circ \quad \frac{4}{7}$
-
Shape: Triangles — 7 triangles total.
- Color 2 triangles for $\frac{2}{7}$, 4 triangles for $\frac{4}{7}$.
- Since $2 < 4$, we have:
✔ $\frac{2}{7} < \frac{4}{7}$
---
✔ Final Answers:
| Problem | Comparison |
|--------|------------|
| 1. $\frac{1}{3} \quad \circ \quad \frac{2}{3}$ | $< $ |
| 2. $\frac{3}{5} \quad \circ \quad \frac{2}{5}$ | $> $ |
| 3. $\frac{2}{4} \quad \circ \quad \frac{3}{4}$ | $< $ |
| 4. $\frac{1}{8} \quad \circ \quad \frac{4}{8}$ | $< $ |
| 5. $\frac{4}{5} \quad \circ \quad \frac{2}{5}$ | $> $ |
| 6. $\frac{4}{6} \quad \circ \quad \frac{2}{6}$ | $> $ |
| 7. $\frac{3}{5} \quad \circ \quad \frac{1}{5}$ | $> $ |
| 8. $\frac{2}{7} \quad \circ \quad \frac{4}{7}$ | $< $ |
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📝 Explanation Summary:
When comparing fractions with the
same denominator, just compare the numerators:
- The fraction with the
larger numerator is greater.
- Example: $\frac{3}{5} > \frac{2}{5}$ because $3 > 2$.
All these problems have
like denominators, so this rule applies directly.
---
✔ Answer Key for Circles:
From top to bottom, left to right:
1. `<`
2. `>`
3. `<`
4. `<`
5. `>`
6. `>`
7. `>`
8. `<`
Now you can
color the shapes accordingly and fill in the circles! 🎨✏️
Parent Tip: Review the logic above to help your child master the concept of worksheet fraction coloring.