How do you convert 0.35 (35 repeating) to a fraction?

Answer 1

Savannah Anderson

#35/99#

Set #x=0.353535...# (1) Multiply with #100# both sides to get

#100x=35.3535...# (2)

And subtract the second equation (2) from the first (1) to get

#100x-x=35.3535...-0.3535...#

#99x=35=>x=35/99#

So the requested fraction is #35/99#

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Answer 2

Kennedy Adams

To convert 0.35 (repeating) to a fraction, you can represent the repeating decimal as ( 0.\overline{35} ). This can be expressed as ( \frac{35}{99} ).

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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.

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