Complete the fractions to make them equal. \( \begin{array}{ll}\text { a. } \frac{2}{4} \cdot \frac{2}{4}=\frac{4}{8} & \text { b. } \frac{3}{5}=\frac{\square}{10} \\ \text { c. } \frac{2}{6}=\frac{\square}{12} & \text { d. } \frac{6}{7}=\frac{\square}{21} \\ \text { e. } \frac{2}{4}=\frac{\square}{2} & \text { f. } \frac{9}{15}=\frac{\square}{5} \\ \text { g. } \frac{5}{6}=\frac{\square}{18} & \text { h. } \frac{7}{9}=\frac{\square}{18} \\ \text { i. } \frac{6}{22}=\frac{\square}{11} & \text { i. } \frac{20}{25}=\frac{\square}{100}\end{array} \)
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The Deep Dive
Sure! Here are the completed fractions: a. \( \frac{2}{4} \cdot \frac{2}{4}=\frac{4}{8} \) (This one is already equal!) b. \( \frac{3}{5}=\frac{6}{10} \) (You multiply the numerator and denominator by 2) c. \( \frac{2}{6}=\frac{4}{12} \) (Again, multiply the numerator and denominator by 2) d. \( \frac{6}{7}=\frac{18}{21} \) (Multiply both by 3) e. \( \frac{2}{4}=\frac{1}{2} \) (So, the answer is 1) f. \( \frac{9}{15}=\frac{3}{5} \) (You can reduce this, so the answer is 3) g. \( \frac{5}{6}=\frac{15}{18} \) (Multiply by 3) h. \( \frac{7}{9}=\frac{14}{18} \) (Multiply by 2) i. \( \frac{6}{22}=\frac{3}{11} \) (Divide by 2) j. \( \frac{20}{25}=\frac{80}{100} \) (Multiply by 4) Let me know if you need any more help!
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