(1)) Which product is greater than \( \frac{3}{4} \) ? \( \begin{array}{llllll}\text { ()) } \frac{3}{2} \times \frac{3}{4} & \text { (1)) } \frac{2}{5} \times \frac{3}{4} & \text { (1)) } \frac{5}{6} \times \frac{3}{4} & \frac{1}{2} \times \frac{3}{4}\end{array} \)

To find which product is greater than \( \frac{3}{4} \), we can calculate each option: 1. \( \frac{3}{2} \times \frac{3}{4} = \frac{9}{8} \), which is greater than \( \frac{3}{4} \). 2. \( \frac{2}{5} \times \frac{3}{4} = \frac{6}{20} = \frac{3}{10} \), which is less than \( \frac{3}{4} \). 3. \( \frac{5}{6} \times \frac{3}{4} = \frac{15}{24} = \frac{5}{8} \), which is less than \( \frac{3}{4} \). 4. \( \frac{1}{2} \times \frac{3}{4} = \frac{3}{8} \), which is also less than \( \frac{3}{4} \). So, the product greater than \( \frac{3}{4} \) is \( \frac{3}{2} \times \frac{3}{4} \). Don’t forget that fractions have a whimsical story—the concept dates back to ancient Egypt! The Egyptians used fractions for trade and building, but they only utilized unit fractions (fractions with a numerator of 1) for their calculations. If you’re ever confused with multiplying fractions, remember this: always simplify where you can! A common mistake is forgetting to reduce before or after. For example, multiplying directly without simplifying can lead to larger, more cumbersome numbers—so declutter your math from the get-go!