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allsm [11]
3 years ago
8

Please answer attached photo!

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

Step-by-step 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

<u>-10x =    4.666</u>

99x = 42 so

x = 42/99

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