Question

1) Insert 5 rational numbers between.

a) 2/3 and 3/2​

Answer 1

Step-by-step explanation:

Equate the denominator by finding LCM.

Here, LCM can be 6(3×2)

a) so, 2/3=4/6(by finding lcm).

3/2=9/6

As we can't get many nos between these multiply them by 10.

=40/60 and 90/60.

42/60, 43/60, 44/60, 45/60, 46/60

Answer 2

Step-by-step explanation:

$\frac{2}{3} \: and \: \frac{3}{2}$

(at first we'll make both digit's denominator same)

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

$\frac{3}{2} \times \frac{3}{3} = \frac{9}{6}$

here, we'll get only four rational numbers…but, we want five…so……

we'll multiple both digits by 2/2 again

$\frac{4}{6} \times \frac{2}{2} = \frac{8}{12}$

$\frac{9}{6} \times \frac{2}{2} = \frac{18}{12}$

therefore, the rational numbers are ⤵️⤵️⤵️

$\frac{9}{12}$

$\frac{10}{12}$

$\frac{11}{12}$

$\frac{12}{12}$

$\frac{13}{12}$

HOPE IT HELPS YOU!!