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Recurring decimals

Number systems · Mathematics

Study notes

Q: Convert 0.454545... to a fraction. Step 1: Let x = 0.454545... (period 2). Step 2: 100x = 45.454545... Step 3: 100x − x = 45.4545... − 0.4545... = 45. Step 4: 99x = 45 → x = 45/99 = 5/11.

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