Question

Theree rational number between 3/5 and 4/5​

Answer 1

Step-by-step explanation:

Its very easy whenever we want a rational number between 2 numbers just add the numbers and divide it by 2.

In your case the two numbers are 3/5 and 4/5.

So, 1st rational number = 1/2(3/5 + 4/5) = 1/2(7/5) = 7/10

As we want 2nd rational number we can just find a rational number between 3/5 and 7/10 or between 7/10 and 4/5.

So, 2nd rational number = 1/2 ( 3/5 + 7/10)

= 1/2 (13/10) = 13/20.

Hope it helps

Cheers :))

Answer 2

Given Rational Numbers

$\frac{3}{5} \: and \: \frac{4}{5}$

To Find :-

Three Rational Numbers between

$\frac{3}{5} \: \: \frac{4}{5}$

Solution:-

we will mutiply the numerator and denominator of the given numbers by 5+1, that is equal to 6.

$\frac{3}{5} = \frac{3 \times 6}{5 \times 6} = \frac{18}{30}$

And

$\frac{4}{5} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30}$

________

Three rational numbers between

$\frac{3}{5} = \frac{18}{30}$

So Three Rational Number between it

are

$\: \: \frac{19}{30} \: \: \: \frac{20}{30} \: \: \: \frac{21}{30}$

_____________

Three rational numbers between

$\frac{4}{5} = \frac{24}{30}$

So Three rational numbers between it are

$\frac{23}{30} \: \: \: \frac{25}{30} \: \: \: \frac{26}{30}$

Thanks !