Arrange the following ratios in ascending order. (3:8). (5:9). (13:36)

Answer

To arrange the ratios (3:8), (5:9), and (13:36) in ascending order, we will first convert each ratio into a decimal by dividing the first number by the second number. Then, we will compare the decimal values to determine their order.

### Step-by-Step Solution:

1. **Convert the first ratio (3:8) to a decimal:**
\[ \frac{3}{8} = 0.375 \]

2. **Convert the second ratio (5:9) to a decimal:**
\[ \frac{5}{9} \approx 0.555 \]

3. **Convert the third ratio (13:36) to a decimal:**
\[ \frac{13}{36} \approx 0.361 \]

4. **Compare the decimal values:**
- \(0.375\) (from \(3:8\))
- \(0.555\) (from \(5:9\))
- \(0.361\) (from \(13:36\))

5. **Arrange the decimal values in ascending order:**
- The smallest value is \(0.361\) (from \(13:36\))
- The next value is \(0.375\) (from \(3:8\))
- The largest value is \(0.555\) (from \(5:9\))

6. **Write the ratios in ascending order:**
- \(13:36\)
- \(3:8\)
- \(5:9\)

### Final Answer:
The ratios in ascending order are:
\[ 13:36, \quad 3:8, \quad 5:9 \]