Express the following as percents :`" "(1,000)/(10)" "(25)/(9)`

Answer

To express the given fractions as percentages, we will follow these steps:

### Step 1: Convert the first fraction \( \frac{1000}{10} \) into a percentage.

1. **Divide 1000 by 10:**
\[ \frac{1000}{10} = 100 \]

2. **Multiply the result by 100 to convert to percentage:**
\[ 100 \times 100 = 10000\% \]

### Step 2: Convert the second fraction \( \frac{25}{9} \) into a percentage.

1. **Multiply 25 by 100:**
\[ 25 \times 100 = 2500 \]

2. **Divide the result by 9:**
\[ \frac{2500}{9} \approx 277.777\ldots \]

3. **Recognize that 277.777... is a repeating decimal:**
We can express this as \( 277.7\overline{7} \) (where the bar indicates that the 7 repeats indefinitely).

### Final Answers:
- The percentage form of \( \frac{1000}{10} \) is \( 10000\% \).
- The percentage form of \( \frac{25}{9} \) is \( 277.7\overline{7}\% \).

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