i. Simplify $$ \frac{3 x}{8}-\frac{x}{4} $$ + Workspace + Check answer

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**Problem i:** Simplify $$ \frac{3x}{8} - \frac{x}{4} $$

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### **Workspace**

1. **Identify like terms and find a common denominator:**

The denominators are 8 and 4. The least common denominator (LCD) is 8.

2. **Rewrite each fraction with the LCD:**

$$
   \frac{3x}{8} - \frac{x}{4} = \frac{3x}{8} - \frac{2x}{8}
   $$
   
   *(Multiplying the numerator and denominator of the second term by 2 to get the denominator to 8.)*

3. **Combine the fractions:**

$$
   \frac{3x}{8} - \frac{2x}{8} = \frac{3x - 2x}{8} = \frac{x}{8}
   $$

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### **Answer**

$$
\frac{x}{8}
$$

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### **Check Answer**

To verify the simplification, substitute a value for $$ x $$ and ensure both the original and simplified expressions yield the same result.

**Let $$ x = 8 $$:**

1. **Original Expression:**
   $$
   \frac{3(8)}{8} - \frac{8}{4} = \frac{24}{8} - 2 = 3 - 2 = 1
   $$

2. **Simplified Expression:**
   $$
   \frac{8}{8} = 1
   $$

Both expressions result in **1** when $$ x = 8 $$, confirming that the simplification is correct.
$$ \frac{x}{8} $$

i. Simplify \( \frac{3 x}{8}-\frac{x}{4} \) + Workspace + Check answer

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