https://file.aiquickdraw.com/mathbot/file/1725847335576pvb8nl31.jpg

The image contains several multiplication problems involving fractions. Let's solve them one by one:

1. **\( 10 \times \frac{8}{12} \)**
   
   Simplify \(\frac{8}{12}\) first:
   \[
   \frac{8}{12} = \frac{2}{3}
   \]

   Then multiply:
   \[
   10 \times \frac{2}{3} = \frac{20}{3} \approx 6.\overline{6}
   \]

2. **\( \frac{5}{6} \times 15 \)**
   
   Multiply:
   \[
   \frac{5}{6} \times 15 = \frac{5 \times 15}{6} = \frac{75}{6} = 12.5
   \]

3. **\( 18 \times \frac{4}{10} \)**
   
   Simplify \(\frac{4}{10}\) first:
   \[
   \frac{4}{10} = \frac{2}{5}
   \]

   Then multiply:
   \[
   18 \times \frac{2}{5} = \frac{36}{5} = 7.2
   \]

4. **\( \frac{7}{9} \times 13 \)**
   
   Multiply:
   \[
   \frac{7}{9} \times 13 = \frac{7 \times 13}{9} = \frac{91}{9} \approx 10.\overline{1}
   \]

5. **\( \frac{5}{9} \times 4 \)**
   
   Multiply:
   \[
   \frac{5}{9} \times 4 = \frac{5 \times 4}{9} = \frac{20}{9} \approx 2.\overline{2}
   \]

### Summary of Results:

1. \( 10 \times \frac{8}{12} = \frac{20}{3} \approx 6.\overline{6} \)
2. \( \frac{5}{6} \times 15 = 12.5 \)
3. \( 18 \times \frac{4}{10} = 7.2 \)
4. \( \frac{7}{9} \times 13 = \frac{91}{9} \approx 10.\overline{1} \)
5. \( \frac{5}{9} \times 4 = \frac{20}{9} \approx 2.\overline{2} \)

Would you like more details or have any questions?

### Related Questions:

1. How do you convert fractions to their simplest form?
2. What is the process for multiplying fractions and whole numbers?
3. How do you handle repeating decimals in division?
4. What is the best method for simplifying complex fractions?
5. How do you determine if a fraction can be simplified further?

**Tip:** When multiplying a fraction by a whole number, consider simplifying the fraction first to make the multiplication easier!

The image contains several multiplication problems involving fractions.

This page provides a step-by-step guide to solving fraction multiplication problems, including simplification of fractions and converting fractions to decimals. Suitable for middle school students in Grades 6-8.

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