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Let's break down the tasks presented in this worksheet.

### Section 1: **Compare and Order Fractions**
For each set of fractions, you are asked to compare them by writing "<", ">", or "=" based on their values. This is done by converting the fractions to have a common denominator or by directly comparing them if possible. 

1. \( \frac{5}{6} \) vs \( \frac{1}{4} \): Convert both to the same denominator (12), giving \( \frac{10}{12} \) and \( \frac{3}{12} \), so \( \frac{5}{6} > \frac{1}{4} \).
2. \( \frac{7}{10} \) vs \( \frac{2}{5} \): Convert to denominator 10, \( \frac{7}{10} = \frac{4}{10} \), so \( \frac{7}{10} > \frac{2}{5} \).
3. \( \frac{2}{3} \) vs \( \frac{3}{8} \): Convert to denominator 24, \( \frac{16}{24} > \frac{9}{24} \).
4. \( \frac{9}{6} \) vs \( \frac{3}{4} \): Convert to denominator 12, \( \frac{18}{12} > \frac{9}{12} \), so \( \frac{9}{6} > \frac{3}{4} \).
5. \( \frac{9}{7} \) vs \( 1 \frac{1}{6} \): Convert the mixed number to \( \frac{7}{6} \) and compare.

### Section 2: **Add and Subtract Fractions**
In this section, you must use the Least Common Denominator (LCD) to rewrite the fractions and then solve. For example:

1. \( \frac{3}{8} + \frac{1}{2} \): LCD is 8. Convert \( \frac{1}{2} \) to \( \frac{4}{8} \) and then add: 
   \[
   \frac{3}{8} + \frac{4}{8} = \frac{7}{8}.
   \]
2. \( \frac{3}{4} - \frac{1}{6} \): LCD is 12. Convert \( \frac{3}{4} \) to \( \frac{9}{12} \) and \( \frac{1}{6} \) to \( \frac{2}{12} \), then subtract: 
   \[
   \frac{9}{12} - \frac{2}{12} = \frac{7}{12}.
   \]
3. \( \frac{2}{5} + \frac{4}{5} \): Denominators are the same, so simply add:
   \[
   \frac{2}{5} + \frac{4}{5} = \frac{6}{5} = 1 \frac{1}{5}.
   \]

Would you like more detailed steps for any specific problem? Feel free to ask for clarifications!

Here are 5 relative questions to expand on this topic:

1. How do you find the least common denominator for comparing fractions?
2. What is the process of converting a mixed number into an improper fraction?
3. How do you simplify a fraction after adding or subtracting?
4. Can you always subtract fractions with different denominators, and what happens if you don't find the LCD?
5. How do you estimate the sum of two fractions without calculating the exact value?

### Tip: 
When comparing fractions, converting them to decimals can be a quick method if you're allowed to use a calculator!

Compare and order fractions, add and subtract fractions.

This worksheet focuses on comparing and ordering fractions, as well as adding and subtracting them. Learn to use the least common denominator for fractions and how to solve problems step by step. Ideal for Grade 4-6 students.

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