Question

the simplest form of .123 three on bar​

Answer 1

HEYA USER ❤️

0.123333...

Let x=0.12333..(i)

Multiply both sides by 10.

10x=1.2333..(ii).

Subtract equation (i) from (ii)

10x=1.2333..

x=0.1233..

_______________

9x= 1.11

9x=111/100

x=111/900= 37/300

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Answer 2

Answer:

$\boxed{\underline{\Huge{\mathtt{\bold{\frac{37}{300}}}}}}$

Step-by-step explanation:

Let x = 0.123333....

Multiplying L.H.S. and R.H.S.(both sides) by 100, we get;

100x = 12.333333...        -(1)

And Now multiplying 10 on the L.H.S. and R.H.S. of equation (1)

1000x = 123.333...         -(2)

Now Subtracting equation (2) and (1),

     1000x = 123.333...

       100x = 12.333333...

    (-)          (-)

  _________________

      900x = 111

  _________________

900x = 111

x = $\frac{111}{900} = \frac{37}{300}$ (Answer)