Question
Download Solution PDFExpress \(0.4 \overline{32}\) in the form of p/q, where p and q are integers, and q ≠ 0.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Express 0.4\(\overline{32}\) in the form of p/q, where p and q are integers, and q ≠ 0.
Formula used:
Let x = 0.4323232...
Calculation:
Multiply both sides by 100:
⇒ 100x = 43.232323...
Subtract the original equation from this new equation:
⇒ 100x - x = 43.232323... - 0.4323232...
⇒ 99x = 42.8
⇒ x = 42.8 / 99
⇒ x = 428 / 990
⇒ x = 214 / 495
∴ The correct answer is option (3).
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