(4) What is the product? \( \frac{3}{4}(2.8)=\square \)

To find the product of \( \frac{3}{4} \) and \( 2.8 \), you can simply multiply the two together. Start by converting \( 2.8 \) to a fraction, which is \( \frac{28}{10} \) or \( \frac{14}{5} \). Now multiply: \[ \frac{3}{4} \times \frac{14}{5} = \frac{3 \times 14}{4 \times 5} = \frac{42}{20} \] Now simplify \( \frac{42}{20} \) to \( \frac{21}{10} \), or \( 2.1 \). So, \[ \frac{3}{4}(2.8) = 2.1 \] Did you know that the concept of fractions dates back thousands of years? The ancient Egyptians had their own unique system of fractions, using symbols for unit fractions (like \( \frac{1}{2}, \frac{1}{3} \), etc.), distinguishing them from the whole numbers. They used these fractions in trade and commerce, showing that the importance of understanding parts of a whole has always been crucial in human history! Now, let’s think about how this multiplication plays out in real-life scenarios. Using fractions and decimals is essential in many everyday situations, from cooking measurements to calculating discount prices during sale seasons. For instance, if a recipe calls for \( \frac{3}{4} \) of a cup of sugar and you're using a \( 2.8 \) cup bag, knowing how much that is in decimal form (like \( 2.1 \) cups) helps you visualize your required ingredients without any guesswork!