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Let's go through the problems one by one and solve them.

1. **\( 4 - 6 \):**
   \[
   4 - 6 = -2
   \]

2. **\( 2 - (-4) \):**
   Subtracting a negative is the same as adding.
   \[
   2 - (-4) = 2 + 4 = 6
   \]

3. **\( 1 + (-4) \):**
   Adding a negative is the same as subtracting.
   \[
   1 + (-4) = 1 - 4 = -3
   \]

4. **\( (-2) - 6 \):**
   \[
   -2 - 6 = -8
   \]

5. **\( (-4) + 7 \):**
   \[
   -4 + 7 = 3
   \]

6. **\( (-1) + (-1) \):**
   \[
   -1 + (-1) = -2
   \]

7. **\( 4 - (-7) \):**
   Subtracting a negative is the same as adding.
   \[
   4 - (-7) = 4 + 7 = 11
   \]

8. **\( \left(\frac{-3}{7}\right) - \left(\frac{-1}{2}\right) \):**
   Subtracting a negative is the same as adding. So:
   \[
   \frac{-3}{7} - \left(\frac{-1}{2}\right) = \frac{-3}{7} + \frac{1}{2}
   \]
   The least common denominator (LCD) of 7 and 2 is 14:
   \[
   \frac{-3}{7} = \frac{-6}{14}, \quad \frac{1}{2} = \frac{7}{14}
   \]
   \[
   \frac{-6}{14} + \frac{7}{14} = \frac{1}{14}
   \]

9. **\( \frac{7}{4} + \frac{1}{3} \):**
   The LCD of 4 and 3 is 12:
   \[
   \frac{7}{4} = \frac{21}{12}, \quad \frac{1}{3} = \frac{4}{12}
   \]
   \[
   \frac{21}{12} + \frac{4}{12} = \frac{25}{12}
   \]
   This is an improper fraction, and it can be rewritten as:
   \[
   2 \frac{1}{12}
   \]

Would you like a further explanation for any of these, or do you have questions?

Here are 5 related questions:
1. What is the process for finding the least common denominator?
2. How do you handle subtraction of negative fractions?
3. What is the general rule for subtracting negative numbers?
4. How do improper fractions relate to mixed numbers?
5. How can you verify the accuracy of your fraction addition?

**Tip**: When subtracting a negative number, always remember to change the operation to addition.

Adding/Subtracting Rational Numbers worksheet, evaluating expressions such as 4 - 6, 2 - (-4), 1 + (-4), etc.

Learn how to add and subtract rational numbers with detailed step-by-step solutions. Problems include integer operations like 4 - 6, 2 - (-4), and fractional problems like (-3/7) - (-1/2). Suitable for students in Grades 6-8.

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