Compare the following fractions using the symbols >, <, or =. Show all the calculations to support your answer.

3/4 2/3

To compare the fractions \( \frac{3}{4} \) and \( \frac{2}{3} \), we need to find a common denominator, then compare their numerators.

### Step 1: Find the Least Common Denominator (LCD)

The denominators are 4 and 3. The least common denominator (LCD) of 4 and 3 is the least common multiple (LCM) of 4 and 3.

The LCM of 4 and 3 is 12. So, the common denominator will be 12.

### Step 2: Convert the fractions to have the same denominator

Now, we'll rewrite both fractions with a denominator of 12.

- To convert \( \frac{3}{4} \) to a denominator of 12:
  \[
  \frac{3}{4} \times \frac{3}{3} = \frac{9}{12}
  \]
  
- To convert \( \frac{2}{3} \) to a denominator of 12:
  \[
  \frac{2}{3} \times \frac{4}{4} = \frac{8}{12}
  \]

### Step 3: Compare the numerators

Now that both fractions have the same denominator (12), we can directly compare their numerators:
\[
9 > 8
\]
Therefore,
\[
\frac{9}{12} > \frac{8}{12}
\]
This implies that:
\[
\frac{3}{4} > \frac{2}{3}
\]

### Final Answer:
\[
\frac{3}{4} > \frac{2}{3}
\]

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Do you have any questions or need further details? 

Here are 5 related questions for further practice:
1. Compare \( \frac{5}{6} \) and \( \frac{4}{5} \).
2. Compare \( \frac{7}{8} \) and \( \frac{3}{4} \).
3. Which is greater: \( \frac{9}{10} \) or \( \frac{8}{9} \)?
4. Compare \( \frac{1}{2} \) and \( \frac{3}{5} \).
5. Is \( \frac{4}{7} \) greater or less than \( \frac{2}{3} \)?

**Tip**: Always convert fractions to a common denominator when comparing, or use decimal equivalents if needed!

Compare the following fractions using the symbols >, <, or =. Show all the calculations to support your answer. 3/4 2/3

Learn how to compare the fractions 3/4 and 2/3 using the least common denominator. This detailed solution walks you through each step, from finding the LCD to comparing numerators. Perfect for students in Grades 4-6.

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