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To solve the equation \( \frac{4x}{16} = \frac{20}{4} \), we start by simplifying both sides of the equation.

1. Simplify the left-hand side by dividing 4x by 16:
   \[
   \frac{4x}{16} = \frac{4}{16}x = \frac{1}{4}x
   \]

2. Simplify the right-hand side by dividing 20 by 4:
   \[
   \frac{20}{4} = 5
   \]

Now, the equation is:
\[
\frac{1}{4}x = 5
\]

3. To solve for \(x\), multiply both sides by 4 to cancel out the fraction on the left-hand side:
   \[
   4 \cdot \frac{1}{4}x = 4 \cdot 5
   \]
   \[
   x = 20
   \]

So, \( x = 20 \). This is the solution to the equation.

Would you like to explore this solution further or do you have any specific questions about the steps taken?

Here are five additional related questions you might consider:

1. How would the solution change if the denominator on the right-hand side was different, say 2 instead of 4?
2. What is the process to solve the equation if both numerators and denominators are variables?
3. Can you solve a similar equation, such as \( \frac{5x}{15} = \frac{25}{5} \)?
4. How would you graph the equation \( \frac{4x}{16} = \frac{20}{4} \) on a coordinate plane?
5. What are the implications of having a negative number on either side of the equation?

**Tip:** Remember, always simplify fractions whenever possible to make equations easier to handle.

Learn how to solve the linear equation (4x)/16 = 20/4 step-by-step. This problem covers key algebraic concepts such as simplifying fractions and solving for x. Suitable for middle school students in Grades 6-8.

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