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Find 3 ratios that are equivalent to the given ratio. \( \frac{9}{7} \) Find three ratios that are equivalent to the given ratio. \( \begin{array}{ll}\square \text { A. } \frac{27}{28} & \square \text { B. } \frac{18}{14} \\ \square \text { C. } \frac{18}{21} & \square \text { D. } \frac{27}{21} \\ \square \text { E. } \frac{27}{14} & \square \text { F. } \frac{36}{28} \\ \square \text { G. } \frac{18}{28} & \square \text { H. } \frac{36}{21}\end{array} \)

Ask by Long Davison. in the United States
Jan 24,2025

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The equivalent ratios are B. \( \frac{18}{14} \), D. \( \frac{27}{21} \), and F. \( \frac{36}{28} \).

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The Deep Dive

To find ratios equivalent to \( \frac{9}{7} \), you can multiply both the numerator and denominator by the same non-zero number. For instance, multiplying by 2 gives you \( \frac{18}{14} \) and multiplying by 3 gives you \( \frac{27}{21} \). Additionally, \( \frac{36}{28} \) can be derived by multiplying by 4. So, the equivalent ratios are \( \frac{18}{14} \), \( \frac{27}{21} \), and \( \frac{36}{28} \). Have you ever encountered ratios in real life? They pop up everywhere! From recipe adjustments in cooking to scaling images for better quality, understanding ratios helps us tackle everyday challenges efficiently. So next time you're cooking or crafting, remember the power of ratios to get just the right proportions! If you're working on ratios, it's easy to get tangled up if you're not careful. A common mistake is to assume that simply changing one number without the same operation on the other maintains the equivalency. Always remember! To keep things balanced, both parts of a ratio must be adjusted equally. Happy ratio hunting!

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