To solve the expression \( \frac{2}{7} - \frac{3}{4} + \frac{5}{3} \), we'll follow these steps:

1. **Find a common denominator:** 
   The denominators are 7, 4, and 3. The least common denominator (LCD) for these is 84.

2. **Convert each fraction to have the common denominator:**
   - \( \frac{2}{7} = \frac{2 \times 12}{7 \times 12} = \frac{24}{84} \)
   - \( \frac{3}{4} = \frac{3 \times 21}{4 \times 21} = \frac{63}{84} \)
   - \( \frac{5}{3} = \frac{5 \times 28}{3 \times 28} = \frac{140}{84} \)

3. **Perform the operations:**
   \[
   \frac{24}{84} - \frac{63}{84} + \frac{140}{84} = \frac{24 - 63 + 140}{84} = \frac{101}{84}
   \]

So, the final answer is \( \frac{101}{84} \).

Would you like more details or have any questions about this solution?

Here are 5 related questions:
1. How do you find the least common denominator of two or more fractions?
2. Can you simplify the fraction \( \frac{101}{84} \) further?
3. How do you convert improper fractions to mixed numbers?
4. What is the result of subtracting and adding fractions with different denominators without finding a common denominator?
5. How do you solve expressions with more than three fractions?

**Tip:** When adding or subtracting fractions, always ensure they have the same denominator before performing the operation.

Learn how to solve the expression 2/7 - 3/4 + 5/3 step-by-step with a focus on operations with fractions and finding the least common denominator. Suitable for students in Grades 6-8.

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