Question

Convert 5.764764764 ... to a rational expression in the form of a over b , where b ≠ 0. (4 points)

5 and 764 over 999
5764 over 9999
5 and 764 over 99
5 and 999 over 764

Answer 1

Answer:

5 and 764 over 999 Converting a repeating decimal into a rational fraction is easy to do. So let's do it and see what we come up with to compare against the available options. 5.764764764 ... It's obviously 5 + some fraction 0.764764764 ... so X = 0.764764764 ... 1000 X = 764.764764764 ... - X 0.764764764 ... 999 X = 764 X = 764/999 So the answer is 5 and 764/999 Looking over the available options, only the response "5 and 764 over 999" matches.

Step-by-step explanation:

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