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The expression you have provided is:

\[
\frac{25}{2} - 7 \frac{1}{5} - \frac{3}{4}
\]

### Steps to solve:

1. **Convert the mixed fraction** \(7 \frac{1}{5}\) into an improper fraction:
   \[
   7 \frac{1}{5} = \frac{7 \times 5 + 1}{5} = \frac{36}{5}
   \]

2. **Rewrite the expression**:
   \[
   \frac{25}{2} - \frac{36}{5} - \frac{3}{4}
   \]

3. **Find a common denominator**: The denominators are 2, 5, and 4. The least common denominator (LCD) is 20.

   - Convert \(\frac{25}{2}\) to have a denominator of 20:
     \[
     \frac{25}{2} = \frac{25 \times 10}{2 \times 10} = \frac{250}{20}
     \]
   - Convert \(\frac{36}{5}\) to have a denominator of 20:
     \[
     \frac{36}{5} = \frac{36 \times 4}{5 \times 4} = \frac{144}{20}
     \]
   - Convert \(\frac{3}{4}\) to have a denominator of 20:
     \[
     \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}
     \]

4. **Substitute and simplify**:
   \[
   \frac{250}{20} - \frac{144}{20} - \frac{15}{20}
   \]
   Combine the numerators:
   \[
   \frac{250 - 144 - 15}{20} = \frac{91}{20}
   \]

So, the result is:

\[
\frac{91}{20} \quad \text{or as a mixed number} \quad 4 \frac{11}{20}
\]

Would you like further details or any clarifications?

### Related questions:
1. How do you convert improper fractions back to mixed numbers?
2. What is the process for finding the least common denominator?
3. How do you add or subtract fractions with different denominators?
4. How can you convert fractions into decimals?
5. What are mixed numbers, and how do they differ from improper fractions?

**Tip**: When working with mixed numbers, always convert them to improper fractions before performing arithmetic operations.

Learn how to subtract fractions and mixed numbers like 25/2 - 7 1/5 - 3/4. This problem covers fraction operations, including converting mixed numbers to improper fractions and finding the least common denominator. Suitable for students in Grades 6-8.

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