Arrange the ratios 5:6, 7:10, and 13:15 in ascending order.

Answer

To arrange the ratios 5:6, 7:10, and 13:15 in ascending order, we can follow these steps:

### Step 1: Convert each ratio to a decimal
- For the ratio 5:6, we can convert it to a decimal by dividing 5 by 6:
\[ \frac{5}{6} = 0.8333 \]

- For the ratio 7:10, we can convert it to a decimal by dividing 7 by 10:
\[ \frac{7}{10} = 0.7 \]

- For the ratio 13:15, we can convert it to a decimal by dividing 13 by 15:
\[ \frac{13}{15} = 0.8666 \]

### Step 2: List the decimal values
Now we have the following decimal values:
- 5:6 = 0.8333
- 7:10 = 0.7
- 13:15 = 0.8666

### Step 3: Compare the decimal values
Next, we compare the decimal values to determine their order:
- 0.7 (7:10) is the smallest.
- 0.8333 (5:6) is the next.
- 0.8666 (13:15) is the largest.

### Step 4: Arrange the ratios in ascending order
Based on the comparison, we can arrange the ratios in ascending order:
\[ 7:10 < 5:6 < 13:15 \]

### Final Answer
The ratios arranged in ascending order are:
\[ 7:10, 5:6, 13:15 \]

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