Question

Insert 5 rational number between 2/9and 1/5?​

Answer 1

Question :

Insert 5 rational number between 2/9and 1/5?

Solution:

$\frac{2}{9} = \frac{16}{72}$

And ,

$\frac{3}{8} = \frac{27}{72}$

Hence, we inserted a rational number between

$\frac{2}{9}$

And ,

$\frac{3}{8}$

__________

But the proper rational number between,

$\frac{2}{9}$

And,

$\frac{3}{8}$

$= \frac{17}{72}$

________

Extra :

In ascending order we can write it like

$\frac{2}{9} \: \: \: \: \: \: \frac{17}{72} \: \: \: \: \: \: \frac{3}{8}$

Hence, we inserted ,

$\frac{17}{2}$

As a rational number

Answer 2

Step-by-step explanation:

LCM of 9and 5=45

2/9=10/45 and 1/5=9/45

For obtaining 5 rational numbers we have to multiply the denominators with 6

2/9=60/270 and 1/5 =54/270

Therefore, the 5 rational numbers between 2/9 and 1/5 are 55/270,56/270,57/270,58/270 and 29/270