https://file.aiquickdraw.com/mathbot/file/1727115187235hx22i6mg.jpg

The exercise in the image is about identifying errors in subtraction and addition of fractions, as well as correcting and recalculating the expressions.

Here’s an analysis of the first few visible tasks:

1. **Task a)**

   Expression: 
   \[
   -\frac{1}{2} + (-\frac{1}{2})
   \]
   Correct calculation:
   \[
   -\frac{1}{2} - \frac{1}{2} = -\frac{2}{2} = -1
   \]
   The correct result is **-1**.

2. **Task b)**

   Expression:
   \[
   -8.2 - (-5.2)
   \]
   Correct calculation:
   \[
   -8.2 + 5.2 = -3
   \]
   The student's answer is **-3**, which is correct.

3. **Task c)**

   Expression:
   \[
   -\frac{5}{3} - \left(-\frac{11}{6}\right)
   \]
   Correct calculation:
   \[
   -\frac{5}{3} + \frac{11}{6}
   \]
   Convert \(-\frac{5}{3}\) to have the same denominator:
   \[
   -\frac{10}{6} + \frac{11}{6} = \frac{1}{6}
   \]
   The correct result is **\(\frac{1}{6}\)**, but the student’s answer appears to be **\(-\frac{17}{6}\)**, which is incorrect.

Would you like further details on these calculations, or explanations of the remaining problems? Here are 5 related questions for practice:

1. How do you add and subtract fractions with different denominators?
2. Why does subtracting a negative number become addition?
3. How can you verify your result when working with fractions?
4. What are common mistakes to avoid when adding/subtracting fractions?
5. How does changing the signs in front of fractions affect the outcome?

**Tip:** Always ensure fractions are converted to have a common denominator before performing addition or subtraction.

The user uploaded an image containing several mathematical problems involving the addition and subtraction of fractions and decimals, asking to identify errors in the given solutions.

Explore common mistakes in subtracting and adding fractions and decimals. Learn how to properly handle negative numbers and different denominators with a detailed breakdown of each problem.

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