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Let's go through the problems from your worksheet step by step, starting with the evaluations in problems 1 to 9. I'll also address problem 10 by finding and correcting the error.

### Problem 1:
\[ \frac{1}{5} - \left( -\frac{4}{5} \right) \]
This becomes:
\[ \frac{1}{5} + \frac{4}{5} = \frac{5}{5} = 1 \]

### Problem 2:
\[ \frac{3}{4} - \frac{1}{4} \]
Since the denominators are the same, we subtract the numerators:
\[ \frac{3 - 1}{4} = \frac{2}{4} = \frac{1}{2} \]

### Problem 3:
\[ \frac{5}{8} - \left( -\frac{3}{8} \right) \]
This becomes:
\[ \frac{5}{8} + \frac{3}{8} = \frac{8}{8} = 1 \]

### Problem 4:
\[ 3\frac{1}{5} - 3\frac{3}{5} \]
Converting to improper fractions:
\[ \frac{16}{5} - \frac{18}{5} = \frac{-2}{5} \]

### Problem 5:
\[ -\frac{4}{6} - 5\frac{2}{3} \]
Convert to improper fractions:
\[ -\frac{2}{3} - \frac{17}{3} = -\frac{19}{3} = -6\frac{1}{3} \]

### Problem 6:
\[ -2\frac{1}{8} - \left( -\frac{3}{4} \right) \]
Convert to improper fractions and simplify:
\[ -\frac{17}{8} + \frac{6}{8} = -\frac{11}{8} = -1\frac{3}{8} \]

### Problem 7:
\[ -12.3 - 4.3 \]
This becomes:
\[ -16.6 \]

### Problem 8:
\[ 13.62 - 18.1 \]
This becomes:
\[ -4.48 \]

### Problem 9:
\[ -8.27 - (-2.17) \]
This becomes:
\[ -8.27 + 2.17 = -6.1 \]

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### Problem 10: 
The given expression is:
\[ -1.2 - (-5.2) = -1.2 + 5.2 \]
The next steps show an error:
- The expression should simplify to:
  \[ 5.2 - 1.2 = 4.0 \]
But the work leads to an incorrect final answer of 4.4. The correct answer is:
  \[ 4.0 \]

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Would you like more details or have any specific questions?

Here are five questions that build on these concepts:
1. How do you convert mixed numbers into improper fractions?
2. What are the rules for adding and subtracting negative numbers?
3. How do you simplify fractions with different denominators?
4. Why is it important to correct sign errors when subtracting negatives?
5. How can decimals be subtracted using place value alignment?

**Tip:** When working with negative numbers, always watch out for double negatives, as they turn into positives!

Evaluate the given problems and identify the error in the sample work on the math worksheet.

This worksheet focuses on fraction and decimal subtraction, including problems involving mixed numbers and negative numbers. Step-by-step solutions help students in Grade 7 practice key mathematical concepts such as simplifying fractions, converting mixed numbers to improper fractions, and working with decimals.

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