1.

Express 3.2 in the form p/q, where p and q are integers and q ≠ 0.

Answer»

Let x = \(3.\bar { 2 }\) (Pure recurring decimal)

i.e. x = 3.2222 ……(1)

Multiplying (1) by 10, we get

10x = 32.2222 ……(2)

Subtracting (1) from (2), we get

10x – x = (32.222…) – (3.222…)

⇒ 9x = 29

⇒ x = \(\frac { 29 }{ 9 }\)


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