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How do you convert non-terminating decimals into fractions? - Answers

Here is an example: convert 3.121212... to a fraction. Solution: Call this number "x". Then: 100x = 312.121212... x = 3.121212... Subtract the second equation from the first: 99x = 209 Divide both sides by 99: x = 209/99 Now all that needs to be done is to simplify the resulting fraction. Such numbers are said to be "irrational". Note 1: If the digits repeat with a period length of 1, multiply by 10; if the period length is 2 (as in this example), multiply by 100, if the period length is 3, multiply by 1000, etc. Note 2: If the decimals don't repeat, you can't convert exactly into a fraction.



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How do you convert non-terminating decimals into fractions? - Answers

https://math.answers.com/math-and-arithmetic/How_do_you_convert_non-terminating_decimals_into_fractions

Here is an example: convert 3.121212... to a fraction. Solution: Call this number "x". Then: 100x = 312.121212... x = 3.121212... Subtract the second equation from the first: 99x = 209 Divide both sides by 99: x = 209/99 Now all that needs to be done is to simplify the resulting fraction. Such numbers are said to be "irrational". Note 1: If the digits repeat with a period length of 1, multiply by 10; if the period length is 2 (as in this example), multiply by 100, if the period length is 3, multiply by 1000, etc. Note 2: If the decimals don't repeat, you can't convert exactly into a fraction.



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https://math.answers.com/math-and-arithmetic/How_do_you_convert_non-terminating_decimals_into_fractions

How do you convert non-terminating decimals into fractions? - Answers

Here is an example: convert 3.121212... to a fraction. Solution: Call this number "x". Then: 100x = 312.121212... x = 3.121212... Subtract the second equation from the first: 99x = 209 Divide both sides by 99: x = 209/99 Now all that needs to be done is to simplify the resulting fraction. Such numbers are said to be "irrational". Note 1: If the digits repeat with a period length of 1, multiply by 10; if the period length is 2 (as in this example), multiply by 100, if the period length is 3, multiply by 1000, etc. Note 2: If the decimals don't repeat, you can't convert exactly into a fraction.

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      Here is an example: convert 3.121212... to a fraction. Solution: Call this number "x". Then: 100x = 312.121212... x = 3.121212... Subtract the second equation from the first: 99x = 209 Divide both sides by 99: x = 209/99 Now all that needs to be done is to simplify the resulting fraction. Such numbers are said to be "irrational". Note 1: If the digits repeat with a period length of 1, multiply by 10; if the period length is 2 (as in this example), multiply by 100, if the period length is 3, multiply by 1000, etc. Note 2: If the decimals don't repeat, you can't convert exactly into a fraction.

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