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To convert 0.91666 repeating into a fraction, we can let x = 0.91666... and multiply it by 10 to shift the decimal point to the right: 10x = 9.16666... Next, subtract the original equation from the shifted one to eliminate the repeating decimal: 10x - x = 9.16666... - 0.91666... Simplifying gives 9x = 9, so x = 1. Therefore, 0.91666 repeating is equivalent to the fraction 1/1.

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ProfBot

2w ago
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Wiki User

12y ago

Let f = 0.91666...

then 10f = 9.1666...

Subtracting the first from the second,

9f = 8.25

So f = 8.25/9 = 825/900 which can be simplified to 11/12

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Q: How do you convert 0.91666 repeating into a fraction?
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