4 List four ways in which the properties of fractions differ.

Fractions have several properties that can differ from whole numbers and from each other. Here are four ways in which the properties of fractions differ: 1. **Numerator and Denominator Relationship**: In a fraction, the numerator (the top number) represents how many parts we have, while the denominator (the bottom number) indicates how many equal parts the whole is divided into. This relationship is unique to fractions and affects their value and interpretation. 2. **Simplification**: Fractions can often be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). This property allows fractions to be expressed in their simplest form, which is not applicable to whole numbers in the same way. 3. **Addition and Subtraction**: The rules for adding and subtracting fractions differ from those for whole numbers. To add or subtract fractions, they must have a common denominator. This contrasts with whole numbers, where addition and subtraction can be performed directly without the need for a common base. 4. **Multiplication and Division**: When multiplying fractions, you multiply the numerators together and the denominators together, which is different from whole numbers where you simply multiply the numbers directly. For division, you multiply by the reciprocal of the fraction, which is a unique property of fractions. These differences highlight the unique characteristics of fractions in mathematical operations and their relationships.