Question

Write two rational numbers between −1/2and2/3
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Answer 1

hi dear

$first \: we \: need \: to \: take \: lcm \: of \: denominator$

$i.e \: 2 \: and \: 3$

$so \: lcm \: = 3 \: and \: 6$

$\frac{1}{2} \times \frac{3}{3} = \frac{3}{6}$

$\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}$

$now \: we \: have \: to \: find \: 6 \: rational \: numbers$

$\frac{3}{6} \times \frac{7}{7} = \frac{21}{42}$

$\frac{4}{6} \times \frac{7}{7} = \frac{28}{42}$

therefore the 6 rational numbers are

22/42, 23/42,24/42,25/42,26/42,27/42.

#choco