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find ten rational numbers between 1/2 and 1/5

$(1) \frac{1}{2} = \frac{1}{2} \times \frac{20}{20} = \frac{20}{40} A n d, \frac{1}{5} = \frac{1}{5} \times \frac{8}{8} = \frac{8}{40} W e k n o w t h a t, 20 < 19 < 18 < 17 < 16 < 15 < 14 < 13 < 12 < 11 < 10 < 9 < 8 \Rightarrow \frac{20}{40} < \frac{19}{40} < \frac{18}{40} < \frac{17}{40} < \frac{16}{40} < \frac{15}{40} < \frac{14}{40} < \frac{13}{40} < \frac{12}{40} < \frac{11}{40} < \frac{10}{40} < \frac{9}{40} < \frac{8}{40} T h u s, 1 0 rational numbers b e t w e e n \frac{1}{2} a n d \frac{1}{5} a r e \frac{19}{40}, \frac{18}{40}, \frac{17}{40}, \frac{16}{40}, \frac{15}{40}, \frac{14}{40}, \frac{13}{40}, \frac{12}{40}, \frac{11}{40}, \frac{10}{40}, \frac{9}{40}$

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