Let's dive into some examples of proper and improper fractions along with explanations. ### Proper Fractions A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number). Proper fractions represent a part of a whole. **Example 1:** \[ \frac{3}{4} \] - **Explanation**: The numerator (3) is less than the denominator (4). This fraction represents three parts out of four equal parts, which is less than one whole. **Example 2:** \[ \frac{7}{10} \] - **Explanation**: The numerator (7) is less than the denominator (10). This fraction represents seven parts out of ten equal parts, which is also less than one whole. # ## Improper Fractions An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Improper fractions represent one whole or more. **Example 1:** \[ \frac{9}{8} \] - **Explanation**: The numerator (9) is greater than the denominator (8). This fraction represents more than one whole....