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vodka [1.7K]
3 years ago
9

Change the repeating decimal to a fraction: 0.376376376...

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0

Let <em>x</em> = 0.376376376...

Then 1000<em>x</em> = 376.376376376...

So we have

1000<em>x</em> - <em>x</em> = 376.376376376... - 0.376376376...

999<em>x</em> = 376

<em>x</em> = 376/999

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Given:

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Substitute 8 for x in each inequality and check whether it satisfies the inequality.

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