What is 0.26 repeating as a fraction

ANSWERS

2015-11-03 18:23:18

Answer: a b = 4 15 the required fraction Explanation: Let a b the unknown fraction then a b = 0.266666666 ... . call this the 1st equation Multiply both sides of the equation by 10 to produce 10 a b = 2.66666666 ... . . call this the 2nd equation Go back to the 1st equation and this time multiply both sides by 100 to obtain 100 a b = 26.66666666 ... . call this the 3rd equation Now subtract the 2nd from the 3rd 100 a b − 10 a b = 26.66666666 − 2.66666666 and we have 90 a b = 24 solve for a/b a b = 24 90 = 4 15 a b = 4 15

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