$$ 2 = \frac { \frac { 2 } { 4 } x } { \square } $$

Question

UpStudy AI · Accepted Answer

To solve for the blank in the equation:

$$
2 = \frac{\frac{2}{4} x}{\square}
$$

Let's denote the blank as $$ y $$. The equation then becomes:

$$
2 = \frac{\frac{2}{4} x}{y}
$$

**Step 1: Simplify the Fraction**

First, simplify $$\frac{2}{4}$$:

$$
\frac{2}{4} = \frac{1}{2}
$$

So the equation is:

$$
2 = \frac{\frac{1}{2} x}{y}
$$

**Step 2: Solve for $$ y $$**

Multiply both sides of the equation by $$ y $$ to isolate the fraction:

$$
2y = \frac{1}{2} x
$$

Now, solve for $$ y $$:

$$
y = \frac{\frac{1}{2} x}{2} = \frac{x}{4}
$$

**Final Answer:**

The blank should be filled with $$ \frac{x}{4} $$. So, the complete equation is:

$$
2 = \frac{\frac{2}{4} x}{\frac{x}{4}}
$$
The blank should be filled with $$ \frac{x}{4} $$. So, the complete equation is: $$ 2 = \frac{\frac{2}{4} x}{\frac{x}{4}} $$

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