To solve the expression \( \frac{45}{34} - \frac{4}{51} \), we need to find a common denominator and then subtract the fractions.

1. **Find the least common denominator (LCD)**:  
   The denominators are 34 and 51. The least common multiple (LCM) of these two numbers is 102.

2. **Convert each fraction** to have the LCD as the denominator:
   - \( \frac{45}{34} = \frac{45 \times 3}{34 \times 3} = \frac{135}{102} \)
   - \( \frac{4}{51} = \frac{4 \times 2}{51 \times 2} = \frac{8}{102} \)

3. **Subtract the fractions**:
   \[
   \frac{135}{102} - \frac{8}{102} = \frac{135 - 8}{102} = \frac{127}{102}
   \]

So, the result is \( \frac{127}{102} \). This fraction cannot be simplified further.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the least common multiple of two numbers?
2. Can you explain how to add or subtract fractions with different denominators?
3. What is the method to simplify a fraction?
4. How do you convert an improper fraction to a mixed number?
5. What is the difference between a fraction and a ratio?

**Tip:** When dealing with fractions, always check if you can simplify them by finding the greatest common divisor (GCD) of the numerator and the denominator.

Learn how to subtract fractions like 45/34 - 4/51 with this detailed guide. This problem demonstrates finding the least common denominator and subtracting fractions, suitable for students in Grades 5-7.

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