Question

List three rational numbers between -2 over 5 , -2 over 7​

Answer 1

Given:

Two rational numbers are $-\dfrac{2}{5}$ and $-\dfrac{2}{7}$.

To find:

The three rational numbers between the given two numbers.

Solution:

Two rational numbers are $-\dfrac{2}{5}$ and $-\dfrac{2}{7}$. First we need to make denominators common.

$-\dfrac{2}{5}=-\dfrac{2\times 7}{5\times 7}$

$-\dfrac{2}{5}=-\dfrac{14}{35}$

and,

$-\dfrac{2}{7}=-\dfrac{2\times 5}{7\times 5}$

$-\dfrac{2}{7}=-\dfrac{10}{35}$

Now, we have same denominators. Numerators are -14 and -10.

So, three numbers between -14 and -10 are -11, -12 ,13.

$-14$

$\dfrac{-14}{35}$

$\dfrac{-2}{7}$

Therefore, the three rational numbers between $-\dfrac{2}{5}$ and $-\dfrac{2}{7}$ are $\dfrac{-13}{35},\dfrac{-12}{35},\dfrac{-11}{35}$.