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It seems there's an issue with the variable \( w \) in question 6 because the symbolic value was not handled correctly. Let's correct the calculations for the other questions and express the answer for question 6 in terms of \( w \) without using an invalid operation.

Here are the correct solutions for the fractions:

1. \( \frac{6}{8} \times \frac{3}{2} = \frac{18}{16} = \frac{9}{8} \)
2. \( \frac{1}{6} \times \frac{2}{9} = \frac{2}{54} = \frac{1}{27} \)
3. \( \frac{2}{3} \times \frac{3}{5} = \frac{6}{15} = \frac{2}{5} \)
4. \( \frac{47}{9} \times \frac{2}{6} = \frac{94}{54} = \frac{47}{27} \)
5. \( \frac{15}{17} \times \frac{6}{6} = \frac{15}{17} \) (since \( \frac{6}{6} = 1 \))
6. \( \frac{20}{30} \times \frac{15}{w} = \frac{2}{3} \times \frac{15}{w} = \frac{30}{w} \)

Would you like further details or any clarifications on these? Here are five related questions to explore further:

1. How do you simplify a fraction to its lowest terms?
2. How do you multiply mixed fractions?
3. What is the process for dividing fractions?
4. What is the relationship between multiplication of fractions and finding a product of two numbers?
5. How do you express a variable in terms of another variable in a fraction?

**Tip:** When multiplying fractions, you can simplify by canceling out any common factors between numerators and denominators before performing the multiplication.

Solve the multiplication of fractions from the image.

Learn how to solve fraction multiplication problems, simplify the results, and express them in their lowest terms. This problem includes examples of multiplying and simplifying fractions. Suitable for students in Grades 6-8.

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