Comparing Fractions - 4 Worksheets / FREE Printable Worksheets - Free Printable

Let's solve each of the fraction comparison problems step by step. The task is to shade the circles to represent the given fractions and then compare them using >, <, or =.

---

🔹 Problem 1:

Compare: $ \frac{1}{2} $ vs $ \frac{1}{3} $

- Shading:
- First circle: Divide into 2 parts, shade 1 part → represents $ \frac{1}{2} $.
- Second circle: Divide into 3 parts, shade 1 part → represents $ \frac{1}{3} $.

- Comparison:
$ \frac{1}{2} = 0.5 $, $ \frac{1}{3} \approx 0.333 $ → So $ \frac{1}{2} > \frac{1}{3} $

✔ Answer: $ \frac{1}{2} > \frac{1}{3} $ (already filled in correctly)

---

🔹 Problem 2:

Compare: $ \frac{1}{4} $ vs $ \frac{2}{4} $

- Shading:
- First circle: Divide into 4 parts, shade 1 part → $ \frac{1}{4} $.
- Second circle: Divide into 4 parts, shade 2 parts → $ \frac{2}{4} $.

- Comparison:
$ \frac{1}{4} = 0.25 $, $ \frac{2}{4} = 0.5 $ → So $ \frac{1}{4} < \frac{2}{4} $

✔ Answer: $ \frac{1}{4} < \frac{2}{4} $

---

🔹 Problem 3:

Compare: $ \frac{1}{4} $ vs $ \frac{1}{3} $

- Shading:
- First circle: Divide into 4 parts, shade 1 → $ \frac{1}{4} $.
- Second circle: Divide into 3 parts, shade 1 → $ \frac{1}{3} $.

- Comparison:
$ \frac{1}{4} = 0.25 $, $ \frac{1}{3} \approx 0.333 $ → So $ \frac{1}{4} < \frac{1}{3} $

✔ Answer: $ \frac{1}{4} < \frac{1}{3} $

---

🔹 Problem 4:

Compare: $ \frac{1}{4} $ vs $ \frac{2}{8} $

- Shading:
- First circle: Divide into 4 parts, shade 1 → $ \frac{1}{4} $.
- Second circle: Divide into 8 parts, shade 2 → $ \frac{2}{8} $.

- Simplify: $ \frac{2}{8} = \frac{1}{4} $

So both are equal.

✔ Answer: $ \frac{1}{4} = \frac{2}{8} $

---

🔹 Problem 5:

Compare: $ \frac{1}{2} $ vs $ \frac{3}{4} $

- Shading:
- First circle: Divide into 2 parts, shade 1 → $ \frac{1}{2} $.
- Second circle: Divide into 4 parts, shade 3 → $ \frac{3}{4} $.

- Comparison:
$ \frac{1}{2} = 0.5 $, $ \frac{3}{4} = 0.75 $ → So $ \frac{1}{2} < \frac{3}{4} $

✔ Answer: $ \frac{1}{2} < \frac{3}{4} $

---

🔹 Problem 6:

Compare: $ \frac{2}{4} $ vs $ \frac{3}{5} $

- Shading:
- First circle: Divide into 4 parts, shade 2 → $ \frac{2}{4} $.
- Second circle: Divide into 5 parts, shade 3 → $ \frac{3}{5} $.

- Convert to decimals:
$ \frac{2}{4} = 0.5 $, $ \frac{3}{5} = 0.6 $ → So $ \frac{2}{4} < \frac{3}{5} $

✔ Answer: $ \frac{2}{4} < \frac{3}{5} $

---

✔ Final Answers:

| Comparison | Result |
|----------|--------|
| $ \frac{1}{2} $ vs $ \frac{1}{3} $ | $ > $ |
| $ \frac{1}{4} $ vs $ \frac{2}{4} $ | $ < $ |
| $ \frac{1}{4} $ vs $ \frac{1}{3} $ | $ < $ |
| $ \frac{1}{4} $ vs $ \frac{2}{8} $ | $ = $ |
| $ \frac{1}{2} $ vs $ \frac{3}{4} $ | $ < $ |
| $ \frac{2}{4} $ vs $ \frac{3}{5} $ | $ < $ |

---

🎯 Summary:

You should shade each circle according to the fraction shown, then fill in the correct symbol:

1. $ \frac{1}{2} > \frac{1}{3} $
2. $ \frac{1}{4} < \frac{2}{4} $
3. $ \frac{1}{4} < \frac{1}{3} $
4. $ \frac{1}{4} = \frac{2}{8} $
5. $ \frac{1}{2} < \frac{3}{4} $
6. $ \frac{2}{4} < \frac{3}{5} $

This helps visualize how fractions relate to each other!