Question

insert three rational numbers between -2/5 and -1/5

Answer 1

hi

three rational number between -2/5 and -1/5

multiply both the fraction with 10 like this:-


$\frac{ - 2 \times 10}{5 \times 10} = \frac{ - 20}{50}$


$\frac{ - 1 \times 10}{5 \times 10} = \frac{ - 10}{50}$
now it's very simple to get some rational number between them

-11/50, -13/50, -14/50, 16/50, etc.


hope you find it helpful
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Answer 2

Given :

$\sf\frac{ - 2}{5} \: and \: \frac{ - 1}{5}$

To find :

• Three rational numbers

Solution :

$\sf \: \frac{1}{5} = \frac{1 \times 7}{5 \times 7} = \frac{7}{35}$

and

$\sf \: \frac{2}{5} = \frac{2 \times 7}{5 \times 7} = \frac{14}{35}$

Now , We can write

$\frac{7}{35} < \frac{8}{32} < \frac{9}{35} < \frac{10}{32} < \frac{11}{32} < \frac{12}{35} \\ < \frac{13}{35} < \frac{14}{35}$

We have ,

$\sf\frac{8}{35} \frac{9}{35} \: and \: \frac{11}{35}$