When writing 3.7272727272... as a ratio of integers, what is the common ratio?

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glxbal9607 glxbal9607

12-06-2018
Mathematics

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When writing 3.7272727272... as a ratio of integers, what is the common ratio?

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JonHenderson55 JonHenderson55 · Answer 1 · 2018-06-12T09:18:41+02:00

The answer is: "41 / 11 " ; or, write as: " 41 : 11 " .
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Explanation:
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72/99 = (72÷9) / (99÷9) = 8/ 11 .

So, 3.727272727272... = "3 [tex] \frac{8}{11} [/tex] " .

→ "3 [tex] \frac{8}{11} [/tex] " = [(11 *3) + 8] / 11 = (33 + 8) / 11 = 41 / 11 .
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"41 / 11" cannot be simplified any further; so the answer is:
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"41 / 11 " ; or, write as: " 41 : 11 " .
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