We think of percentages as special kinds of fractions, ones that have denominator

Percentages are indeed a special type of fraction where the denominator is always 100. This means that when we talk about percentages, we are essentially talking about a part of 100. For example:

- \( 25\% \) means 25 out of 100, or \( \frac{25}{100} \).
- \( 50\% \) means 50 out of 100, or \( \frac{50}{100} \).
- \( 75\% \) means 75 out of 100, or \( \frac{75}{100} \).

In general, any percentage can be written as a fraction with 100 in the denominator. The formula to convert a percentage to a fraction is:

\[
\text{Percentage} = \frac{\text{Numerator}}{100}
\]

Conversely, to convert a fraction to a percentage, you can multiply by 100:

\[
\text{Fraction} = \frac{\text{Numerator}}{\text{Denominator}} \times 100\%
\]

### Example:
If you have the fraction \( \frac{3}{4} \), to convert it to a percentage:

\[
\frac{3}{4} \times 100\% = 75\%
\]

### Questions to Explore Further:
1. How do you convert a decimal to a percentage?
2. What is the percentage representation of \( \frac{1}{8} \)?
3. How do you find a percentage of a given number?
4. What is the relationship between percentages, decimals, and fractions?
5. How can percentages be used in real-life situations like discounts and interest rates?

### Tip:
To quickly convert a percentage to a decimal, just divide by 100 or move the decimal point two places to the left (e.g., 25% becomes 0.25).

Learn how percentages are special types of fractions where the denominator is always 100. This guide covers converting percentages to fractions and vice versa, with examples like converting 25%, 50%, and 75%. Perfect for students in Grades 5-7.

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