Question

Insert six Rational numbers between (i) -1/3 and -2/3 (ii) 1/4 and 1/2

Answer 1

Answer:

( i )

$⟹ \frac{-1}{3} × \frac{7}{7} = \frac{-7}{21}\\</p><p>\\⟹\frac{-2}{3} × \frac{7}{7} = \frac{-14}{21}$

Rational numbers =

$\\⟹\frac{-13}{21}, \frac{-12}{21}, \frac{-11}{21}, \frac{-10}{21}, \frac{-9}{21},\frac{-8}{21}, \frac{-7}{21}, \\ \frac{-6}{21}, \frac{-5}{21}$

( ii )

$⟹ \frac{1}{4} × \frac{7}{7} = \frac{7}{28}\\</p><p>\\</p><p>⟹\frac{1}{2} ×\frac{14}{14} =\frac{14}{28}$

Rational numbers =

$\\⟹\frac{8}{28}, \frac{9}{28},\frac{10}{28}, \frac{11}{28}, \frac{12}{28},\frac{13}{28}$

Answer 2

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