Convert the following ratios to percentages.
a. `"7:8"` b. `"1:12"`

Answer

To convert the given ratios to percentages, we will follow these steps for each ratio.

### Step-by-Step Solution:

#### a. Convert the ratio 7:8 to a percentage:

1. **Write the ratio as a fraction**:
\[ \frac{7}{8} \]

2. **Multiply the fraction by 100 to convert it to a percentage**:
\[ \frac{7}{8} \times 100 \]

3. **Calculate the multiplication**:
\[ = \frac{7 \times 100}{8} = \frac{700}{8} \]

4. **Perform the division**:
\[ 700 \div 8 = 87.5 \]

5. **Therefore, the percentage is**:
\[ 87.5\% \]

#### b. Convert the ratio 1:12 to a percentage:

1. **Write the ratio as a fraction**:
\[ \frac{1}{12} \]

2. **Multiply the fraction by 100 to convert it to a percentage**:
\[ \frac{1}{12} \times 100 \]

3. **Calculate the multiplication**:
\[ = \frac{1 \times 100}{12} = \frac{100}{12} \]

4. **Perform the division**:
\[ 100 \div 12 \approx 8.33 \]

5. **Therefore, the percentage is**:
\[ 8.33\% \]

### Final Answers:
- a. \( 7:8 = 87.5\% \)
- b. \( 1:12 = 8.33\% \)