9 Which fraction is greater? $$ \frac{3}{4} $$ or $$ \frac{1}{8} $$

Question

UpStudy AI · Accepted Answer

To determine which fraction is greater between $$ \frac{3}{4} $$ and $$ \frac{1}{8} $$, let's compare them by finding a common denominator.

### Step 1: Find a Common Denominator
The denominators here are 4 and 8. The least common denominator (LCD) for 4 and 8 is **8**.

### Step 2: Convert Both Fractions to Have the LCD
- **Convert $$ \frac{3}{4} $$ to eighths:**

$$
  \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}
  $$

- **$$ \frac{1}{8} $$ already has the denominator 8:**

$$
  \frac{1}{8} = \frac{1}{8}
  $$

### Step 3: Compare the Numerators
Now that both fractions have the same denominator, compare the numerators:

$$
\frac{6}{8} \quad \text{vs.} \quad \frac{1}{8}
$$

Since **6** is greater than **1**, it follows that:

$$
\frac{6}{8} > \frac{1}{8}
$$

### Conclusion
Therefore,

$$
\frac{3}{4} > \frac{1}{8}
$$

**Answer:** $$ \frac{3}{4} $$ is greater than $$ \frac{1}{8} $$.
$$ \frac{3}{4} $$ is greater than $$ \frac{1}{8} $$.

9 Which fraction is greater? \( \frac{3}{4} \) or \( \frac{1}{8} \)