Pregunta
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Complete the fractions to make them equal. \( \begin{array}{ll}\text { a. } \frac{2}{4} \cdot \frac{2}{4}=\frac{4}{8} & \text { b. } \frac{3}{5}=\frac{\square}{10} \\ \text { c. } \frac{2}{6}=\frac{\square}{12} & \text { d. } \frac{6}{7}=\frac{\square}{21} \\ \text { e. } \frac{2}{4}=\frac{\square}{2} & \text { f. } \frac{9}{15}=\frac{\square}{5} \\ \text { g. } \frac{5}{6}=\frac{\square}{18} & \text { h. } \frac{7}{9}=\frac{\square}{18} \\ \text { i. } \frac{6}{22}=\frac{\square}{11} & \text { i. } \frac{20}{25}=\frac{\square}{100}\end{array} \)

Ask by Vega Ball. in South Africa
Jan 19,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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Here are the completed fractions: a. \(\frac{2}{4} = \frac{4}{8}\) b. \(\frac{3}{5} = \frac{6}{10}\) c. \(\frac{2}{6} = \frac{4}{12}\) d. \(\frac{6}{7} = \frac{18}{21}\) e. \(\frac{2}{4} = \frac{1}{2}\) f. \(\frac{9}{15} = \frac{3}{5}\) g. \(\frac{5}{6} = \frac{15}{18}\) h. \(\frac{7}{9} = \frac{14}{18}\) i. \(\frac{6}{22} = \frac{3}{11}\) j. \(\frac{20}{25} = \frac{80}{100}\)

Solución

Sure! Here are the completed fractions with the missing numbers filled in to make them equal: **a.** \(\frac{2}{4} = \frac{4}{8}\) **b.** \(\frac{3}{5} = \frac{6}{10}\) **c.** \(\frac{2}{6} = \frac{4}{12}\) **d.** \(\frac{6}{7} = \frac{18}{21}\) **e.** \(\frac{2}{4} = \frac{1}{2}\) **f.** \(\frac{9}{15} = \frac{3}{5}\) **g.** \(\frac{5}{6} = \frac{15}{18}\) **h.** \(\frac{7}{9} = \frac{14}{18}\) **i.** \(\frac{6}{22} = \frac{3}{11}\) **j.** \(\frac{20}{25} = \frac{80}{100}\) --- **Explanation of Each Completion:** 1. **b.** \(\frac{3}{5} = \frac{6}{10}\) - Multiply both numerator and denominator by 2 to get an equivalent fraction. 2. **c.** \(\frac{2}{6} = \frac{4}{12}\) - Multiply both numerator and denominator by 2. 3. **d.** \(\frac{6}{7} = \frac{18}{21}\) - Multiply both numerator and denominator by 3. 4. **e.** \(\frac{2}{4} = \frac{1}{2}\) - Simplify the fraction by dividing both numerator and denominator by 2. 5. **f.** \(\frac{9}{15} = \frac{3}{5}\) - Simplify by dividing both numerator and denominator by 3. 6. **g.** \(\frac{5}{6} = \frac{15}{18}\) - Multiply both numerator and denominator by 3. 7. **h.** \(\frac{7}{9} = \frac{14}{18}\) - Multiply both numerator and denominator by 2. 8. **i.** \(\frac{6}{22} = \frac{3}{11}\) - Simplify by dividing both numerator and denominator by 2. 9. **j.** \(\frac{20}{25} = \frac{80}{100}\) - Multiply both numerator and denominator by 4. If you need further explanations or have more questions, feel free to ask!

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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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