To solve the multiplication of two fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together:

\[
\frac{5}{6} \times \frac{8}{4} = \frac{5 \times 8}{6 \times 4}
\]

Calculating the multiplication:

\[
5 \times 8 = 40 \quad \text{and} \quad 6 \times 4 = 24
\]

So,

\[
\frac{40}{24}
\]

Next, we simplify the fraction by finding the greatest common divisor (GCD) of 40 and 24, which is 8:

\[
\frac{40 \div 8}{24 \div 8} = \frac{5}{3}
\]

Thus, 

\[
\frac{5}{6} \times \frac{8}{4} = \frac{5}{3}
\]

This fraction can also be written as a mixed number:

\[
\frac{5}{3} = 1 \frac{2}{3}
\]

So, the final answer is \(\frac{5}{3}\) or \(1 \frac{2}{3}\).

Would you like further details, or do you have any questions?

### Here are 5 related questions to expand your understanding:
1. How do you find the greatest common divisor (GCD) of two numbers?
2. What is the process for converting improper fractions to mixed numbers?
3. How do you multiply and simplify fractions with variables?
4. What are the steps for dividing fractions, and how does it compare to multiplying them?
5. How do you handle fraction multiplication when there are more than two fractions involved?

#### **Tip:** Remember to always simplify fractions to their lowest terms for a clearer answer.

Learn how to multiply and simplify fractions with the example 5/6 x 8/4. This detailed solution explains how to find the product, simplify the fraction, and convert it to a mixed number. Perfect for students in Grades 5-7.

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