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The image contains five ratio problems that need to be simplified or solved. Here are the problems as I interpret them:

1. \( \frac{1}{2} : 4 \)
2. \( \frac{2}{2} : 7 \)
3. \( \frac{7}{8} : \frac{5}{8} \)
4. \( 5 : \frac{1}{2} \)
5. \( \frac{7}{5} : 5 \)

I will now solve each of these ratios:

1. **Problem 1:** \( \frac{1}{2} : 4 \)
   - To simplify, multiply both terms by 2 to eliminate the fraction:
   - \( \frac{1}{2} \times 2 : 4 \times 2 = 1 : 8 \)
   - The simplified ratio is \( 1 : 8 \).

2. **Problem 2:** \( \frac{2}{2} : 7 \)
   - Simplify the fraction \( \frac{2}{2} = 1 \):
   - So the ratio is \( 1 : 7 \).

3. **Problem 3:** \( \frac{7}{8} : \frac{5}{8} \)
   - Simplify by dividing the first fraction by the second:
   - \( \frac{7/8}{5/8} = \frac{7}{8} \times \frac{8}{5} = \frac{7 \times 8}{8 \times 5} = \frac{7}{5} \).
   - The simplified ratio is \( 7 : 5 \).

4. **Problem 4:** \( 5 : \frac{1}{2} \)
   - Simplify by multiplying both sides by 2 to eliminate the fraction:
   - \( 5 \times 2 : \frac{1}{2} \times 2 = 10 : 1 \).
   - The simplified ratio is \( 10 : 1 \).

5. **Problem 5:** \( \frac{7}{5} : 5 \)
   - This can be written as \( \frac{7}{5} : \frac{5}{1} \).
   - Simplify by multiplying the first fraction by the reciprocal of the second:
   - \( \frac{7}{5} \times \frac{1}{5} = \frac{7}{25} \).
   - The simplified ratio is \( 7 : 25 \).

Would you like any details on these solutions or have any questions?

### Follow-up Questions
1. How do you convert a fraction to a ratio?
2. What is the process for simplifying complex ratios involving fractions?
3. Can you provide examples of real-world applications of ratios?
4. How do you handle ratios where both terms are fractions?
5. What is the importance of understanding the concept of ratios in mathematics?

### Tip:
When dealing with ratios that involve fractions, it's often helpful to eliminate the fractions by finding a common denominator or multiplying by the reciprocal to simplify the calculation.

The image contains five ratio problems that need to be simplified or solved.

Explore how to simplify and solve ratio problems involving fractions. This page provides a detailed step-by-step solution to problems like 1/2 : 4 and 7/8 : 5/8, ideal for students in Grades 6-8.

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