Find four fractions equivalent to \( \frac{2}{5} \). Choose the correct answer below. A. \( \frac{4}{15}, \frac{6}{10}, \frac{8}{20}, \frac{10}{25} \) B. \( \frac{10}{4}, \frac{15}{6}, \frac{20}{8}, \frac{25}{10} \) C. \( \frac{4}{10}, \frac{6}{15}, \frac{8}{20}, \frac{10}{25} \) D. \( \frac{4}{10}, \frac{6}{15}, \frac{8}{25}, \frac{10}{20} \)
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Extra Insights
To find fractions equivalent to \( \frac{2}{5} \), we can multiply both the numerator and the denominator by the same integer. For example, if we multiply by 2, we get \( \frac{4}{10} \), if we multiply by 3, we get \( \frac{6}{15} \), and so on. Evaluating the options given, we find that \( \frac{4}{10}, \frac{6}{15}, \frac{8}{20}, \frac{10}{25} \) are all equivalent to \( \frac{2}{5} \) since they all simplify back to it! Therefore, the correct choice is C.
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