Question

Insert six rational numbers between - 4/5 and - 2/3​

Answer 1

Step-by-step explanation:

LCM OF 3 AND 5 = 15

$\frac{ - 4}{5} = \frac{ - 4}{5} \times \frac{3}{3} = \frac{ - 12}{15}$

$\frac{ - 2}{3} = \frac{ - 2}{3} \times \frac{5}{5} = \frac{ - 10}{15}$

Since, We are not able to find six rational numbers, we will multiply them by a common number, say 10.

$\frac{ - 12}{15} \times \frac{10}{10} = \frac{ - 120}{150}$

$\frac{ - 10}{15} \times \frac{10}{10} = \frac{ - 100}{150}$

We are easily able to find six rational numbers between these numbers :

$\frac{ - 101}{150} \frac{ - 102}{150} \frac{ - 103}{150} \frac{ - 104}{150} \frac{ - 105}{150} \frac{ - 106}{150} and \: so \: on$

Hope this answer helps you.