Question

express the given no. in rational form is 3.44444444444444.......

Answer 1

Hey friend
Solutions..

✔️==> Let 3.4bar = x ((1))eq.

Multiplying both sides by 10

✔️==> So 34.4bar = 10x ((2))eq.

Subtracting 1st eq.From 2nd, we get

✔️==> 34.4bar - 3.4bar = 10x - x

✔️==> 31 = 9x

Ans ==> x = 31 / 9 ✔️

..Thanks bhai

Answer 2

♧♧HERE IS YOUR ANSWER♧♧

Let,

x = 3.4444444444444.....

Then, 10x = 34.444444444....,

100x = 344.4444444444.... and

1000x = 3444.4444444....

So,

10x - x = 34.444444.... - 3.444444444....

=> 9x = 31

=> x = 31/9

Again,

100x - x = 344.44444.... - 3.4444444....

=> 99x = 341

=> x = 341/99

Also,

1000x - x = 3444.4444.... - 3.444444...

=> 999x = 3441

=> x = 3441/999

Therefore, the required rational numbers are :

31/9, 341/99 or 3441/999.

♧♧HOPE THIS HELPS YOU♧♧