8. Identify the percent of change from \( \frac{2}{5} \) to \( \frac{5}{15} \) as an increase or a decrease. Then fir percent of change. Round to the nearest tenth of a percent.
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To find the percent change from \( \frac{2}{5} \) to \( \frac{5}{15} \), first simplify \( \frac{5}{15} \) to \( \frac{1}{3} \). Now, convert both fractions to decimals: \( \frac{2}{5} = 0.4 \) and \( \frac{1}{3} \approx 0.333 \). The percent change can be calculated using the formula: \[ \text{Percent Change} = \left( \frac{\text{New Value} - \text{Old Value}}{|\text{Old Value}|} \right) \times 100 \] Plugging in the values gives: \[ \text{Percent Change} = \left( \frac{0.333 - 0.4}{0.4} \right) \times 100 \approx -16.7\% \] So, there is a decrease of approximately 16.7%. On the topic of fractions, it's interesting to note that converting them into decimals can sometimes make comparisons easier, especially if you're trying to visualize or calculate percent changes. It's like switching from a complex puzzle to a straightforward picture! Also, think about how fractions can represent real-life scenarios, like cooking or budgeting. You often deal with portions and proportions that can change slightly, and understanding these concepts can help you manage such situations more effectively. Plus, it’s a handy skill to have when you're whipping up recipes or planning your next big event!
