To solve \( \frac{1}{5} + \left( -\frac{3}{4} \right) \), follow these steps:

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

2. **Rewrite the fractions with the common denominator**:  
   \[
   \frac{1}{5} = \frac{4}{20}, \quad -\frac{3}{4} = \frac{-15}{20}
   \]

3. **Add the fractions**:  
   \[
   \frac{4}{20} + \frac{-15}{20} = \frac{4 - 15}{20} = \frac{-11}{20}
   \]

Thus, the final answer is \( \frac{-11}{20} \).

Would you like more details on any of the steps?

Here are 5 related questions to expand your understanding:
1. How do you find the least common denominator for two fractions?
2. What is the process for adding fractions with different denominators?
3. How do negative fractions work in addition and subtraction?
4. Can you simplify improper fractions, and when should you do so?
5. How can you convert a fraction to a decimal?

**Tip**: When adding or subtracting fractions, always ensure the denominators are the same before proceeding.

Learn how to solve the fraction problem 1/5 + (-3/4) with a step-by-step breakdown. This guide covers key concepts like finding the least common denominator, adding fractions, and handling negative numbers. Perfect for students in Grades 5-7 looking to strengthen their understanding of fraction operations.

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