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Question
Find two rational numbers between\[\frac{1}{5} \text{and} \frac{1}{2} .\]
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Solution
\[\text{Rational number between} \frac{1}{5} \text{and} \frac{1}{2} = \frac{(\frac{1}{5} + \frac{1}{2})}{2} = \frac{\frac{2 + 5}{10}}{2} = \frac{7}{20}\]
\[\text{Rational number between} \frac{1}{5} \text{and} \frac{7}{20} = \frac{(\frac{1}{5} + \frac{7}{20})}{2} = \frac{\frac{4 + 7}{20}}{2} = \frac{11}{40}\]
\[\text{Therefore, two rational numbers between}\frac{1}{5} \text{and} \frac{1}{2} \text{are} \frac{7}{20} \text{and} \frac{11}{40} .\]
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