Let me analyze the fractions review worksheet you uploaded. I will solve the problems step by step and provide the solutions below.

Add the fractions:

1. $-\frac{1}{4} + \frac{2}{1}$

• Common denominator: $4$.
• Convert fractions: $-\frac{1}{4} + \frac{8}{4} = \frac{-1 + 8}{4} = \frac{7}{4}.$ Answer: $\frac{7}{4}$.

2. $-\frac{3}{10} + \frac{8}{10}$

• Common denominator: $10$.
• Combine numerators: $-\frac{3}{10} + \frac{8}{10} = \frac{-3 + 8}{10} = \frac{5}{10} = \frac{1}{2}.$ Answer: $\frac{1}{2}$.

3. $-\frac{2}{1} + \frac{3}{4}$

• Convert $-\frac{2}{1}$ to $-\frac{8}{4}$ (common denominator $4$).
• Combine numerators: $-\frac{8}{4} + \frac{3}{4} = \frac{-8 + 3}{4} = \frac{-5}{4}.$ Answer: $-\frac{5}{4}$.

4. $-\frac{7}{2} + \frac{10}{2}$

• Common denominator: $2$.
• Combine numerators: $-\frac{7}{2} + \frac{10}{2} = \frac{-7 + 10}{2} = \frac{3}{2}.$ Answer: $\frac{3}{2}$.

Subtract the fractions (Keep-Change-Change or KCC):

1. $\frac{5}{8} - \frac{3}{8}$

• Common denominator: $8$.
• Subtract numerators: $\frac{5}{8} - \frac{3}{8} = \frac{5 - 3}{8} = \frac{2}{8} = \frac{1}{4}.$ Answer: $\frac{1}{4}$.

2. $\frac{6}{5} - \frac{1}{2}$

• Common denominator: $10$.
• Convert fractions: $\frac{12}{10} - \frac{5}{10} = \frac{12 - 5}{10} = \frac{7}{10}.$ Answer: $\frac{7}{10}$.

3. $-\frac{1}{3} - (-\frac{1}{3})$

• Subtracting a negative is the same as addition: $-\frac{1}{3} + \frac{1}{3} = 0.$ Answer: $0$.

4. $-\frac{2}{8} - \frac{3}{2}$

• Convert fractions to common denominator $8$: $-\frac{2}{8} - \frac{12}{8} = \frac{-2 - 12}{8} = \frac{-14}{8} = \frac{-7}{4}.$ Answer: $-\frac{7}{4}$.

If you'd like, I can assist further or explain any step! Let me know if you want detailed steps for any specific problem. Here are related follow-up questions:

Follow-Up Questions:

1. How do you find a common denominator for adding or subtracting fractions?
2. Why is it important to convert improper fractions into mixed numbers (if needed)?
3. Can you explain how to simplify fractions after adding or subtracting?
4. How does Keep-Change-Change (KCC) help when subtracting fractions?
5. Why does subtracting a negative number turn into addition?

Tip:

Always simplify fractions at the end to make your answers easier to understand!