Question

convert into p/q
3.49 {bar on 49}​

Answer 1

Answer:

349/100

which may form it 3.49

Answer 2

Given, the expression 3.49494949...

Let 3.494949....= x  ⟹(i).

Multiplying (i) by 10,

⟹34.9494949....= 10x  ⟹(ii).

Multiplying (ii) by 1000,

⟹3494.949494949....=1000x  ⟹(iii).

Then, (iii)−(ii)

⟹ 1000x − 10x = 3494.949494949.... − 34.9494949....

⟹ 990x = 3460

⟹x = 3460 / 990

Hencs, 3.49494949.... in p/q form is 346 / 99

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