Question \( 1(30) \) 1.1. Explain in simple terms to an Intermediate Phase learner using your own words the difference among improper, mixed, and proper fractions.

To explain the differences among improper, mixed, and proper fractions to an Intermediate Phase learner, we can use simple terms and examples. 1. **Proper Fractions**: A proper fraction is when the top number (numerator) is smaller than the bottom number (denominator). This means that the fraction represents a part of a whole. For example, in the fraction \( \frac{3}{4} \), 3 is less than 4, so it is a proper fraction. It means you have 3 parts out of 4 total parts. 2. **Improper Fractions**: An improper fraction is when the top number (numerator) is equal to or larger than the bottom number (denominator). This means that the fraction represents a whole or more than a whole. For example, in the fraction \( \frac{5}{4} \), 5 is greater than 4, so it is an improper fraction. It means you have 5 parts, but each whole is made up of 4 parts, so you actually have 1 whole and 1 extra part. 3. **Mixed Fractions**: A mixed fraction combines a whole number and a proper fraction. It shows both the whole part and the fractional part together. For example, \( 1 \frac{1}{4} \) is a mixed fraction. It means you have 1 whole and 1 part out of 4. In summary: - Proper fractions are less than 1 (like \( \frac{3}{4} \)). - Improper fractions are equal to or greater than 1 (like \( \frac{5}{4} \)). - Mixed fractions show a whole number and a proper fraction together (like \( 1 \frac{1}{4} \)).