A fraction represents a part of a whole. It's written as one number (the numerator) over another number (the denominator), separated by a line. The denominator indicates how many equal parts the whole is divided into, and the numerator indicates how many of those parts you have. For example, $\frac{1}{2}$ means one part out of two equal parts.
A decimal is another way to represent a part of a whole, using a base-ten system. Decimals use a decimal point to separate whole numbers from fractional parts. For example, 0.5 represents five-tenths, which is the same as $\frac{1}{2}$.
| Feature | Fraction | Decimal | Percent |
|---|---|---|---|
| Definition | Represents a part of a whole as a ratio of two numbers. | Represents a part of a whole using a base-ten system. | Represents a part of a whole as a portion of 100. |
| Notation | $\frac{a}{b}$ | 0.xxx | xx% |
| Example | $\frac{3}{4}$ | 0.75 | 75% |
| Conversion | Divide numerator by denominator. | Multiply by 100 to get percent; find equivalent fraction. | Divide by 100 to get decimal; express as a fraction over 100. |
| Use Cases | Precise ratios, dividing quantities. | Measurements, calculations, financial values. | Statistics, discounts, comparisons. |
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