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https://math.answers.com/other-math/10.105_repeating_as_a_fraction

10.105 repeating as a fraction? - Answers

Let x = 10.105105105... x = 10.105105105... (multiply by 1,000 to both sides) 1,000x = 10,105.105105... (subtract the first equation from the second one) 999x = 10,095 (divide by 999 to both sides) x = 10,095/999 x = 10,095÷3/999÷3 x = 3,365/333 Thus, 10.105105... = 3,365/333



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10.105 repeating as a fraction? - Answers

https://math.answers.com/other-math/10.105_repeating_as_a_fraction

Let x = 10.105105105... x = 10.105105105... (multiply by 1,000 to both sides) 1,000x = 10,105.105105... (subtract the first equation from the second one) 999x = 10,095 (divide by 999 to both sides) x = 10,095/999 x = 10,095÷3/999÷3 x = 3,365/333 Thus, 10.105105... = 3,365/333



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https://math.answers.com/other-math/10.105_repeating_as_a_fraction

10.105 repeating as a fraction? - Answers

Let x = 10.105105105... x = 10.105105105... (multiply by 1,000 to both sides) 1,000x = 10,105.105105... (subtract the first equation from the second one) 999x = 10,095 (divide by 999 to both sides) x = 10,095/999 x = 10,095÷3/999÷3 x = 3,365/333 Thus, 10.105105... = 3,365/333

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      Let x = 10.105105105... x = 10.105105105... (multiply by 1,000 to both sides) 1,000x = 10,105.105105... (subtract the first equation from the second one) 999x = 10,095 (divide by 999 to both sides) x = 10,095/999 x = 10,095÷3/999÷3 x = 3,365/333 Thus, 10.105105... = 3,365/333

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