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How do you convert 5.17 (17 repeating) as a fraction?

Answer 1

Avery Alexander

#x=512/99#

There's a secret involved here!

Let #x=5.17bar17" "->" for formatting this is used 5.17bar17"#

Multiply this decimal by 100 (2 zeros) since it repeats every two places.

So #100x=517.17bar17#

So #100x-x=512#

#x(100-1)=512#

#x=512/99#

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Answer 2

Ethan Adkins

To convert 5.17 (17 repeating) to a fraction, you can represent the repeating decimal part as ( \frac{n}{9} ), where ( n ) is the non-repeating part of the decimal. Then, you combine the non-repeating part with the repeating part to form the fraction. In this case, it would be ( \frac{517}{100} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.