Question

Find four rational numbers between (1/3) and (-1/2).​

Answer 1

Answer:

$( \frac{1}{ 3}) \: ( - \frac{1}{2} ) \\ lcm \: = \: 6 \\ ( \frac{2}{6} ) \: ( - \frac{3}{6} ) \\ ( \frac{2}{6} \times \: 5) \: ( - \frac{ 3}{6} \: \times \: 5) \\ ( \frac{10}{6} ) \: ( - \frac{15}{6} )$

so the numbers are -2, -1, 0, 1,2, 3

Answer 2

We have to find rational numbers between 1/2 and 1/3

On multiplying 1/2 by 3/3 we get 3/6

and on multiplying 1/3 by 2/2, we get 2/6.

Further multiplying the denominator and nominator of 3/6 and 2/6 by (5+1)= 6,

(2 x 6)/(6 x 6)= 12/36

(3 x 6)/(6 x 6)= 18/36

Therefore, 5 rational numbers between 1/2 and 1/3 are 13/36, 14/36, 15/36, 16/36 & 17/36.

3/8, 5/12, &11/24 are each between 1/3 and 1/2, and are also 1/24 apart.