Question

find six rational numbers between -2/3 and -1/2​
(plz give with explaination)​

Answer 1

Answer:

$-\frac{25}{48}$, $-\frac{26}{48}$, $-\frac{27}{48}$, $-\frac{28}{48}$, $-\frac{29}{48}$, $-\frac{30}{48}$, $-\frac{31}{48}$

Step-by-step explanation:

$-\frac{2}{3} = -\frac{4}{6} = -\frac{8}{12} = -\frac{16}{24} = -\frac{32}{48}\\ \\-\frac{1}{2} = -\frac{3}{6} = -\frac{6}{12} = -\frac{12}{24} = -\frac{24}{48}$

Numbers in between $-\frac{32}{48}$ and $-\frac{24}{48}$:    $-\frac{25}{48}$, $-\frac{26}{48}$, $-\frac{27}{48}$, $-\frac{28}{48}$, $-\frac{29}{48}$, $-\frac{30}{48}$, $-\frac{31}{48}$

Answer 2

Step-by-step explanation:

- 2 / 3 and - 1 / 2

take LCM of 3 an 2 and make their

denominators same

- 2 / 3 = - 4 / 6

- 1 / 2 = - 3 / 6

we can't find 6 rational no. between -4/6 and -3/6 so multiply it

- 4 × 7 / 6 × 7 = - 28 / 42

- 3 × 7 / 6 × 7 = - 21 / 42

now we can easily find 6 rational between - 28 / 42 and - 21 / 42

- 28 / 42

- 27 / 42

- 26 / 42

- 25 / 42

- 24 / 42

- 23 / 42

- 22 / 42

- 21 / 42