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How do you convert 0.37 (37 repeating) as a fraction?

Answer 1

Kennedy Adams

#100x = 37.bar(37)# #x = 0.bar(37)#

Subtract both equations together:

#99x = 37#

#x = 37/99#

Therefore, #37/99 = 0.bar(37)#

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Answer 2

Isaiah Anthony

To convert 0.37 (37 repeating) to a fraction, we can denote it as x and subtract the repeating part from it:

x = 0.37 100x = 37.37

Now, subtract the two equations to eliminate the repeating part:

100x - x = 37.37 - 0.37 99x = 37

Next, divide both sides by 99 to isolate x:

x = 37 / 99

So, 0.37 (37 repeating) as a fraction is 37/99.

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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.