Arrange the given ratios as indicated:
3:7, 4:11, 5:13 in descending order

Answer

To arrange the ratios 3:7, 4:11, and 5:13 in descending order, we will first convert each ratio into a decimal form. Then, we will compare the decimal values to determine their order.

### Step 1: Convert the ratios to decimal form

1. **Convert 3:7 to decimal:**
\[ \frac{3}{7} \approx 0.4286 \]

2. **Convert 4:11 to decimal:**
\[ \frac{4}{11} \approx 0.3636 \]

3. **Convert 5:13 to decimal:**
\[ \frac{5}{13} \approx 0.3846 \]

### Step 2: Compare the decimal values

Now we have the decimal values:
- \( \frac{3}{7} \approx 0.4286 \)
- \( \frac{4}{11} \approx 0.3636 \)
- \( \frac{5}{13} \approx 0.3846 \)

### Step 3: Arrange the ratios in descending order

Now we can compare the decimal values:
- \( 0.4286 \) (from \( 3:7 \)) is the largest.
- \( 0.3846 \) (from \( 5:13 \)) is the second largest.
- \( 0.3636 \) (from \( 4:11 \)) is the smallest.

Thus, the ratios in descending order are:
\[ 3:7 > 5:13 > 4:11 \]

### Final Answer:
The ratios arranged in descending order are:
\[ 3:7 > 5:13 > 4:11 \]

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