Question

Find any 4 rational number between -1/2 and -1/3

Answer 1

Given:

The two numbers are $-\dfrac{1}{2}$ and $-\dfrac{1}{3}$.

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

$-\dfrac{1}{2}$ and $-\dfrac{1}{3}$

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

$-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}$

$-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}$

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

$-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}$

$-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}$

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

$-15$

$-\dfrac{15}{30}$

$-\dfrac{1}{2}$

Therefore, the 4 rational number between the given numbers are $-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}$.