To solve the equation \( x \cdot 4 \cdot 5 / 6 = 3 \), follow these steps:

1. Simplify the left-hand side of the equation:
   \[
   x \cdot \frac{4 \cdot 5}{6} = 3
   \]

2. Calculate the fraction:
   \[
   x \cdot \frac{20}{6} = 3
   \]
   Simplify \(\frac{20}{6}\):
   \[
   x \cdot \frac{10}{3} = 3
   \]

3. To isolate \( x \), multiply both sides of the equation by the reciprocal of \(\frac{10}{3}\):
   \[
   x = 3 \cdot \frac{3}{10}
   \]

4. Simplify the right-hand side:
   \[
   x = \frac{9}{10}
   \]

Thus, the solution is:
\[
x = \frac{9}{10}
\]

Would you like more details or have any questions?

Here are 8 related questions to expand your understanding:

1. What is the reciprocal of a fraction and how is it used in solving equations?
2. How do you simplify fractions?
3. What are the steps to solve equations involving fractions?
4. Can you solve \( 3x \cdot \frac{5}{8} = 2 \)?
5. How would you handle an equation with a variable in the denominator?
6. What are common mistakes to avoid when solving fractional equations?
7. How does cross-multiplication work in solving fractional equations?
8. What is the importance of isolating the variable in an equation?

**Tip:** Always check your solution by substituting the value back into the original equation to ensure it satisfies the equation.

Learn how to solve the equation x * 4 * 5 / 6 = 3 with a detailed step-by-step solution. This problem involves working with fractions and isolating variables in equations. Suitable for students in Grades 7-9.

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