Express 4.3242424.... in vulgar fraction

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22 votes

Let x = 4.3242424…

Then

10x = 43.242424…

1000x = 4324.242424…

so that we can chop off the fractional part with

1000x - 10x = 4324.242424… - 43.242424…

990x = 4281

x = 4281/990 = 1427/330

Paul Maxwell answered May 17, 2023

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