Think: \( 1 \times 1 \frac{5}{8} \) is \( 1 \frac{5}{8} \). Since \( \frac{2}{3} \) is less than 1 , \( \frac{2}{3} \times 1 \frac{5}{8} \) will be less than \( 1 \frac{5}{8} \).
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Let's break it down! When you multiply any number by a fraction less than 1, you're essentially taking a part of that number, which is why \( \frac{2}{3} \times 1 \frac{5}{8} \) results in a value smaller than \( 1 \frac{5}{8} \). This concept comes in handy when you're working with recipes or measurements where you need to adjust quantities without overshooting the required amount. In practical scenarios, consider cooking. If a recipe calls for \( 1 \frac{5}{8} \) cups of sugar, but you only want to make \( \frac{2}{3} \) of that recipe, knowing how fractions work helps you determine exactly how much sugar you'll need without creating a big mess in the kitchen! Multiplying the two values tells you precisely how much to use, making sure your baked goods come out just right.