Yes, when you multiply fractions, the result is often smaller than the original fractions, but not always.
Here's a detailed explanation:
When you multiply a fraction by another fraction that is less than 1, you are essentially taking a "fraction of a fraction," which results in a smaller value.
Example:
1/2 * 1/4 = 1/8
Here, 1/8 is smaller than both 1/2 and 1/4. Imagine you have half a pizza, and you only eat a quarter of that half. You've eaten a very small portion of the whole pizza.
However, if you multiply a fraction by a fraction greater than 1 (an improper fraction), the result will be larger.
Example:
1/2 * 3/2 = 3/4
Here, 3/4 is larger than 1/2.
In summary:
- Multiplying by a fraction less than 1: The result is smaller.
- Multiplying by a fraction greater than 1: The result is larger.
