Express 0.99999 …. in the form of p/q, where p and q are integers an

1.	Express 0.99999 …. in the form of p/q, where p and q are integers and q ≠ 0.
Answer» Let x = 0.9999 …. _(1) 10x = 9.9999 …. _(2) Subtracting Eqn. (1) by Eqn. (2) 10x – x = (9.9999….) – (0.9999…) 9x = 9 ⇒ x = 9/9 = 1, x = 1

Express 0.99999 …. in the form of p/q, where p and q are integers and q ≠ 0.

Answer»

Let x = 0.9999 …. _(1)

10x = 9.9999 …. _(2)

Subtracting Eqn. (1) by Eqn. (2)

10x – x = (9.9999….) – (0.9999…)

9x = 9

⇒ x = 9/9 = 1,

x = 1

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Express 0.99999 …. in the form of p/q, where p and q are integers and q ≠ 0.

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