Question

express 0.123333 in the form of p/q..ans is 37/300
please explain it​

Answer 1

Answer:

Let x=0.123333....------------------------------------------------- 100x=12.333333...------------------------------------------------(1) 1000x=123.333---------------------------------------------------(2) (2)-(1),900x=111---------------------------------------------------- --------- X=111/900=37/300----(answer)---

please mark as brainlest answer

Answer 2

Answer:

37 / 300

Step-by-step-explanation:

Let x = 0.12333.... --> Eq( 1 )

Here periodicity is 1. So multiply by 10 on both sides

=> 10x = 10 × 0.1233..

=> 10x = 1.233.. --> Eq( 2 )

Subtratcing Eq( 1 ) from Eq( 2 )

=> 10x - x = 1.233.. - 0.1233..

=> 9x = 1.11

=> 900x = 111

=> x = 111 / 900 = 37 / 300