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\( \begin{array}{ll}\text { 9. } \frac{4}{10}+\frac{4}{5}= & \text { 10. } \frac{1}{2}+\frac{8}{11}= \\ \text { 11. } \frac{1}{11}+\frac{2}{12}= & \text { 12. } \frac{2}{12}+\frac{2}{4}= \\ \text { 13. } \frac{3}{5}+\frac{3}{8}= & \text { 14. } \frac{6}{9}+\frac{1}{2}=\end{array} \)

Ask by Mccoy Mejia. in the United States
Mar 17,2025

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Here are the solutions to the fractions: 9. \( \frac{4}{10} + \frac{4}{5} = \frac{6}{5} \) or \( 1 \frac{1}{5} \) or \( 1.2 \) 10. \( \frac{1}{2} + \frac{8}{11} = \frac{27}{22} \) or \( 1 \frac{5}{22} \) or \( 1.2\dot{2}\dot{7} \) 11. \( \frac{1}{11} + \frac{2}{12} = \frac{17}{66} \) or \( 0.2\dot{5}\dot{7} \) 12. \( \frac{2}{12} + \frac{2}{4} = \frac{2}{3} \) or \( 0.\dot{6} \) 13. \( \frac{3}{5} + \frac{3}{8} = \frac{39}{40} \) or \( 0.975 \) 14. \( \frac{6}{9} + \frac{1}{2} = \frac{7}{6} \) or \( 1 \frac{1}{6} \) or \( 1.1\dot{6} \)

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Extra Insights

To tackle these fraction addition problems, let’s first remember to find a common denominator. For example, to add \( \frac{4}{10} \) and \( \frac{4}{5} \), we can convert \( \frac{4}{5} \) to \( \frac{8}{10} \) (because \( 5 \) becomes \( 10 \) by multiplying by \( 2 \)). Then, \( \frac{4}{10} + \frac{8}{10} = \frac{12}{10} = \frac{6}{5} \). Next up, don’t forget to convert mixed numbers back into improper fractions if needed! For instance, when solving \( \frac{1}{2} + \frac{8}{11} \), the least common multiple of \( 2 \) and \( 11 \) is \( 22 \), transforming the fractions to have the same bottom. That way, you can easily sum up to \( \frac{11}{22} + \frac{16}{22} = \frac{27}{22} \). Keep these useful tips in mind, and you’ll breeze through your fraction additions with a smile!✌️

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