Q14 of 32 Page 20

Express in the p/q form.

Let x = 5.4178178.... ……(i)

Here repetition is of 3 numbers; 1, 7, 8


So, we have to multiply x with 1000


⇒ 1000 × x = 1000 × 5.4178178...


⇒ 1000x = 5417.81781781... ……(ii)


Now, (ii) -(i) =


1000x = 5417.8178178...


x = 5.4178178...


⇒ 999x = 5412.4000........



Therefore,


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