Question

Find any six rational number between the following pair of rational number 1/3and1/2

Answer 1

Answer:

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Answer 2

Answer:

$\frac{1}{3} \: and \: \frac{1}{2} \\ ( \frac{1}{3} \times \frac{2}{2} ) \: and \: ( \frac{1}{2} \times \frac{3}{3} ) \\ = \frac{2}{6} \: and \: \frac{3}{6} \\ = ( \frac{2}{6} \times \frac{7}{7} ) \: and \: ( \frac{3}{6} \times \frac{7}{7} ) \\ = \frac{14}{42} \: and \: \frac{21}{42}$

So six rationals number are

$\frac{15}{42} . \frac{16}{42} . \frac{17}{42} . \frac{18}{42} . \frac{19}{42} . \frac{20}{42}$

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