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Please answer attached photo!

Please answer attached photo!-example-1
User Goosebumps
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1 Answer

5 votes

Answer:

Explanation:

The idea is to move the decimal to right after the repeating digit and then to right before it and subtract.

Let x = .46666

Then to move the decimal one place to right before the repeating digit, we multiply by ten which moves the decimal right after the 4 and right before the repeating 6:

10x = 4.666

Now we need to move it to right after the repeating digit, so we multiply by 100:

100x = 46.666 and subtract:

100x = 46.666

-10x = 4.666

99x = 42 so

x = 42/99

User Sompylasar
by
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