Comparing fractions worksheet with shaded shapes and fraction pairs for students to evaluate.

Let's solve this step-by-step. The task is to:

1. Shade the correct fraction of each shape (based on the given fraction).
2. Compare each pair of fractions using the symbols: `<`, `>`, or `=`.

We’ll go through each part one by one, explain how to shade and compare.

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a.

- First circle: 4/6 → Divide into 6 parts, shade 4.
- Second circle: 5/6 → Divide into 6 parts, shade 5.

✔ Both circles are divided into 6 equal parts.
Since 4 < 5, we have:
4/6 < 5/6

Answer: <

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b.

- First circle: 3/4 → Divide into 4 parts, shade 3.
- Second circle: 1/4 → Divide into 4 parts, shade 1.

✔ Same denominator (4), so compare numerators: 3 > 1
So: 3/4 > 1/4

Answer: >

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c.

- First circle: 5/8 → Divide into 8 parts, shade 5.
- Second circle: 5/8 → Divide into 8 parts, shade 5.

✔ Same numerator and same denominator → Equal fractions.

So: 5/8 = 5/8

Answer: =

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d.

- First circle: 2/3 → Divide into 3 parts, shade 2.
- Second circle: 1/3 → Divide into 3 parts, shade 1.

✔ Same denominator, 2 > 1 → 2/3 > 1/3

Answer: >

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e.

- First circle: 2/5 → Divide into 5 parts, shade 2.
- Second circle: 3/5 → Divide into 5 parts, shade 3.

✔ Same denominator, 2 < 3 → 2/5 < 3/5

Answer: <

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f.

- First circle: 1/7 → Divide into 7 parts, shade 1.
- Second circle: 6/7 → Divide into 7 parts, shade 6.

✔ Same denominator, 1 < 6 → 1/7 < 6/7

Answer: <

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g.

- First circle: 2/2 → Divide into 2 parts, shade both → whole circle shaded.
- Second circle: 1/2 → Divide into 2 parts, shade 1.

✔ 2/2 = 1, 1/2 = 0.5 → 1 > 0.5 → 2/2 > 1/2

Answer: >

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h.

- First circle: 7/10 → Divide into 10 parts, shade 7.
- Second circle: 5/10 → Divide into 10 parts, shade 5.

✔ Same denominator, 7 > 5 → 7/10 > 5/10

Answer: >

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✔ Final Answers:

| Letter | Comparison |
|--------|------------|
| a. | 4/6 < 5/6 |
| b. | 3/4 > 1/4 |
| c. | 5/8 = 5/8 |
| d. | 2/3 > 1/3 |
| e. | 2/5 < 3/5 |
| f. | 1/7 < 6/7 |
| g. | 2/2 > 1/2 |
| h. | 7/10 > 5/10 |

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📝 Instructions for Shading:

For each shape:
- Count the total number of equal parts (denominator).
- Shade the number of parts equal to the numerator.
- Then compare based on how much is shaded.

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✔ Summary: When comparing fractions with the same denominator, just compare the numerators. The larger numerator means the larger fraction.

Let me know if you'd like a visual explanation or printable version!