Convert each of the following ratios into a percentage:
(1)`37:100`
(2)`16:25`
(3)`3:5`
(4)`5:4`

Answer

To convert the given ratios into percentages, we will follow these steps:

### Step-by-Step Solution:

1. **Convert the Ratio to a Fraction**:
For each ratio \( x:y \), we can express it as a fraction \( \frac{x}{y} \).

2. **Multiply by 100**:
To convert the fraction into a percentage, we multiply it by 100.

3. **Simplify**:
Simplify the expression if necessary to find the final percentage.

### Now, let's solve each part:

#### (1) Convert `37:100` to Percentage:
- Write as a fraction:
\[ \frac{37}{100} \]
- Multiply by 100:
\[ \frac{37}{100} \times 100 = 37\% \]

#### (2) Convert `16:25` to Percentage:
- Write as a fraction:
\[ \frac{16}{25} \]
- Multiply by 100:
\[ \frac{16}{25} \times 100 \]
- To simplify, calculate:
\[ 16 \times 4 = 64 \quad \text{(since } 25 \times 4 = 100\text{)} \]
- Therefore, the percentage is:
\[ 64\% \]

#### (3) Convert `3:5` to Percentage:
- Write as a fraction:
\[ \frac{3}{5} \]
- Multiply by 100:
\[ \frac{3}{5} \times 100 \]
- To simplify, calculate:
\[ 3 \times 20 = 60 \quad \text{(since } 5 \times 20 = 100\text{)} \]
- Therefore, the percentage is:
\[ 60\% \]

#### (4) Convert `5:4` to Percentage:
- Write as a fraction:
\[ \frac{5}{4} \]
- Multiply by 100:
\[ \frac{5}{4} \times 100 \]
- To simplify, calculate:
\[ 5 \times 25 = 125 \quad \text{(since } 4 \times 25 = 100\text{)} \]
- Therefore, the percentage is:
\[ 125\% \]

### Final Answers:
1. \( 37:100 = 37\% \)
2. \( 16:25 = 64\% \)
3. \( 3:5 = 60\% \)
4. \( 5:4 = 125\% \)