Question

express 0.123 (bar on 3) in the form of p/q

Answer 1

Answer:

$x =0.123333...\\= \frac{37}{300}$

Step-by-step explanation:

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

multiply equation (1) by 100, we get

=> 100x = 12.333....----(2)

multiply equation (2) by 10, we get

=> 1000x = 123.333....----(3)

Now,

Subtract equation (2) from equation (3), we get

=> 900x = 111

Divide each term by 3 , we get

=> 300x = 37

$\implies x = \frac{37}{300}$

Therefore,

$x =0.123333...\\= \frac{37}{300}$

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Answer 2

Answer:

the answer is 37/300

Step-by-step explanation:

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

multiply equation (1) by 100, we get

=> 100 x = 12.333....----(2)

multiply equation (2) by 10, we get

=> 1000 x = 123.333....----(3)

Now,

Subtract equation (2) from equation (3), we get

⇒1000 x-100 x =123-12

=> 900 x = 111

Divide each term by 3 , we get

=> 300 x = 37

⇒x=37/300

Therefore, the answer is 37/300

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