Express 7. 66 repeating as a ratio of two integers.

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Omar Martinez asked Aug 27, 2022

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Express 7. 66 repeating as a ratio of two integers.

Mathematics
high-school

Omar Martinez asked Aug 27, 2022

by Omar Martinez

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Method A: 7.6666.... = 7 + 0.6666... = 7 + 2/3 = 21/3 + 2/3 = 23/3

Method B: 10(7.666...) - 1(7.666...) = 76.666... - 7.666... = 69.000...
(10 - 1)(7.666...) = 69
7.666... = 69/9 = 23/3

Woody Zenfell III answered Sep 1, 2022

by Woody Zenfell III

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