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30 votes
Find the fraction equal to 3.408 forever.

User Fwalch
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1 Answer

17 votes
17 votes

\text{3}.408\text{ forever}

If we take 0.408 and convert it to fraction, then we have:

408/1,000 because we have three places after the dot or period.

But that result would be 3.408 but not forever.

For doing it forever, we will replace a nine in the denominator of the fraction for every decimal place we have, this way:

0.408 forever = 408/999 (three decimal places) and now we add the 3.

So, we have 3 408/999

The answer is 3 408/999

User Ryan Rentfro
by
2.9k points
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