Worksheet for comparing fractions using number lines.

Since I can't view or access images directly, I can't see the specific fractions or number line in your uploaded image. However, I can help you solve "Comparing Fractions Using a Number Line" problems if you describe them or list the fractions and questions.

But since you mentioned it's a worksheet titled *"Comparing Fractions - Number Line"* with tasks like:

> Compare each pair of fractions using the number line. Write <, >, or = in the circle.

And there are pairs like:
- a) $ \frac{2}{5} \quad \square \quad \frac{3}{5} $
- b) $ \frac{1}{4} \quad \square \quad \frac{1}{2} $
- c) $ \frac{3}{8} \quad \square \quad \frac{5}{8} $
- etc.

I’ll walk you through how to solve such problems step by step, assuming typical examples like these.

---

🔍 How to Compare Fractions Using a Number Line

Step 1: Understand the Number Line
- A number line goes from 0 to 1 (or more), divided into equal parts based on the denominator.
- The larger the fraction, the farther to the right it is on the number line.

Step 2: Plot Each Fraction
- For example, if comparing $ \frac{2}{5} $ and $ \frac{3}{5} $:
- Divide the number line from 0 to 1 into 5 equal parts.
- $ \frac{2}{5} $ is 2 marks from 0.
- $ \frac{3}{5} $ is 3 marks from 0.
- Since $ \frac{3}{5} $ is to the right, it’s greater.

Step 3: Use Symbols
- If one fraction is to the right → use >
- If one is to the left → use <
- If they’re at the same point → use =

---

✔ Let's Solve Example Problems

#### a) $ \frac{2}{5} \quad \square \quad \frac{3}{5} $
- Both have denominator 5 → same number of parts.
- $ \frac{2}{5} $ is less than $ \frac{3}{5} $
- Answer: $ \frac{2}{5} < \frac{3}{5} $

#### b) $ \frac{1}{4} \quad \square \quad \frac{1}{2} $
- $ \frac{1}{4} = 0.25 $, $ \frac{1}{2} = 0.5 $
- On number line: $ \frac{1}{4} $ is closer to 0, $ \frac{1}{2} $ is halfway.
- So $ \frac{1}{4} < \frac{1}{2} $

#### c) $ \frac{3}{8} \quad \square \quad \frac{5}{8} $
- Same denominator → compare numerators
- 3 < 5 → $ \frac{3}{8} < \frac{5}{8} $

#### d) $ \frac{7}{10} \quad \square \quad \frac{9}{10} $
- 7 < 9 → $ \frac{7}{10} < \frac{9}{10} $

#### e) $ \frac{1}{3} \quad \square \quad \frac{1}{6} $
- $ \frac{1}{3} = 0.333... $, $ \frac{1}{6} \approx 0.166... $
- $ \frac{1}{3} $ is greater → $ \frac{1}{3} > \frac{1}{6} $

#### f) $ \frac{11}{12} \quad \square \quad \frac{10}{12} $
- 11 > 10 → $ \frac{11}{12} > \frac{10}{12} $

#### g) $ \frac{1}{2} \quad \square \quad \frac{3}{6} $
- $ \frac{3}{6} = \frac{1}{2} $ → they are equal
- Answer: $ \frac{1}{2} = \frac{3}{6} $

#### h) $ \frac{5}{8} \quad \square \quad \frac{3}{4} $
- Convert $ \frac{3}{4} = \frac{6}{8} $
- $ \frac{5}{8} < \frac{6}{8} $ → $ \frac{5}{8} < \frac{3}{4} $

#### i) $ \frac{1}{3} \quad \square \quad \frac{2}{5} $
- Find common denominator: LCM of 3 and 5 is 15
- $ \frac{1}{3} = \frac{5}{15}, \frac{2}{5} = \frac{6}{15} $
- $ \frac{5}{15} < \frac{6}{15} $ → $ \frac{1}{3} < \frac{2}{5} $

#### j) $ \frac{4}{6} \quad \square \quad \frac{3}{4} $
- Simplify: $ \frac{4}{6} = \frac{2}{3} $
- $ \frac{2}{3} = \frac{8}{12}, \frac{3}{4} = \frac{9}{12} $
- $ \frac{8}{12} < \frac{9}{12} $ → $ \frac{4}{6} < \frac{3}{4} $

---

📌 Summary Tips:

- Same denominator? Compare numerators.
- Different denominators? Use common denominator or convert to decimals.
- Number line helps visualize: The farther right = bigger value.

---

If you can provide the exact fractions from your worksheet (e.g., "a) 2/5 vs 3/5", etc.), I can give you the specific answers for your image.

Let me know!