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Are repeating decimal irrational? - Answers
No.Repeating decimals are rational.To convert a repeating decimal to a fraction, put the repeating digit(s) over the same number of 9s and simplify:examples.0.333...It has one repeating digit (3) so put it over one 9 (9) to get 3/9 which can be simplified by dividing top and bottom by 3 (the hcf of 3 and 9) to get 1/3. Thus: 0.333... = 1/30.181818...It has two repeating digits (18) so put them over two 9s (99) to get 18/99 which can be simplified by dividing top and bottom by 9 (the hcf of 18 and 99) to get 2/11. Thus: 0.181818.... = 2/11
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Are repeating decimal irrational? - Answers
No.Repeating decimals are rational.To convert a repeating decimal to a fraction, put the repeating digit(s) over the same number of 9s and simplify:examples.0.333...It has one repeating digit (3) so put it over one 9 (9) to get 3/9 which can be simplified by dividing top and bottom by 3 (the hcf of 3 and 9) to get 1/3. Thus: 0.333... = 1/30.181818...It has two repeating digits (18) so put them over two 9s (99) to get 18/99 which can be simplified by dividing top and bottom by 9 (the hcf of 18 and 99) to get 2/11. Thus: 0.181818.... = 2/11
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Are repeating decimal irrational? - Answers
No.Repeating decimals are rational.To convert a repeating decimal to a fraction, put the repeating digit(s) over the same number of 9s and simplify:examples.0.333...It has one repeating digit (3) so put it over one 9 (9) to get 3/9 which can be simplified by dividing top and bottom by 3 (the hcf of 3 and 9) to get 1/3. Thus: 0.333... = 1/30.181818...It has two repeating digits (18) so put them over two 9s (99) to get 18/99 which can be simplified by dividing top and bottom by 9 (the hcf of 18 and 99) to get 2/11. Thus: 0.181818.... = 2/11
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- og:descriptionNo.Repeating decimals are rational.To convert a repeating decimal to a fraction, put the repeating digit(s) over the same number of 9s and simplify:examples.0.333...It has one repeating digit (3) so put it over one 9 (9) to get 3/9 which can be simplified by dividing top and bottom by 3 (the hcf of 3 and 9) to get 1/3. Thus: 0.333... = 1/30.181818...It has two repeating digits (18) so put them over two 9s (99) to get 18/99 which can be simplified by dividing top and bottom by 9 (the hcf of 18 and 99) to get 2/11. Thus: 0.181818.... = 2/11
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