Comparing Proper Fractions worksheet with 50 problems using <, >, or = signs.

Since I can't view or access images directly, I can't see the specific fractions in your uploaded image. However, if you provide the list of fraction pairs from the worksheet (or describe them), I can help you solve and explain how to compare each pair using <, >, or =.

But since this is a standard "Comparing Proper Fractions" worksheet, I can walk you through the general method for comparing fractions and then help you with specific examples if you give me the pairs.

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🔍 How to Compare Two Fractions

To compare two fractions, such as $ \frac{a}{b} $ and $ \frac{c}{d} $, follow these steps:

#### ✔ Method 1: Find a Common Denominator
1. Find the least common denominator (LCD) of the two fractions.
2. Convert both fractions to equivalent fractions with the same denominator.
3. Compare the numerators.

Example:
Compare $ \frac{1}{2} $ and $ \frac{4}{5} $

- LCD of 2 and 5 is 10.
- $ \frac{1}{2} = \frac{5}{10} $
- $ \frac{4}{5} = \frac{8}{10} $
- Since $ \frac{5}{10} < \frac{8}{10} $, we conclude $ \frac{1}{2} < \frac{4}{5} $

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#### ✔ Method 2: Cross-Multiplication (Quick Way)
For $ \frac{a}{b} $ vs $ \frac{c}{d} $:
- Multiply $ a \times d $ and $ c \times b $
- Compare the two products:
- If $ a \times d < c \times b $, then $ \frac{a}{b} < \frac{c}{d} $
- If $ a \times d > c \times b $, then $ \frac{a}{b} > \frac{c}{d} $
- If equal, then $ \frac{a}{b} = \frac{c}{d} $

Example:
Compare $ \frac{1}{2} $ and $ \frac{4}{5} $

- $ 1 \times 5 = 5 $
- $ 4 \times 2 = 8 $
- Since $ 5 < 8 $, $ \frac{1}{2} < \frac{4}{5} $

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🧠 Tips:

- If the denominators are the same, just compare numerators.
- If the numerators are the same, the fraction with the smaller denominator is larger.
- Use benchmarks like $ \frac{1}{2} $ to estimate.

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Now, if you can list the fraction pairs (e.g., “1/2 ___ 4/5”, “1/3 ___ 1/2”, etc.), I’ll solve all 50 problems step by step and explain each one.

Alternatively, you can copy-paste the text from the image here, and I’ll process it!