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How do you simplify and make the decimal 0.101 into a fraction?

Answer 1

#0.101 = 101/1000#

#0.101 * 1000 = 101#

So #0.101 = 101/1000#

#101# and #1000# have no common factors to make this simpler. In fact #101# is a prime number, having no positive integer factors apart from #1# and itself.

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Answer 2

Julia Adams

To convert the decimal 0.101 into a fraction, note that the decimal has three decimal places. Thus, you can express it as (\frac{101}{10^3}) or (\frac{101}{1000}). This fraction can be further simplified, if necessary.

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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.