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How do you convert 0.53 (53 repeating) to a fraction?

Answer 1

Genesis Allen

#53/99#

Require to obtain 2 equations with the same repeating part and subtract them to eliminate the repeating part.

begin with letting x = 0.535353 ............ (A)

To obtain the same repeating part after the decimal point need to multiply by 100.

hence 100x = 53.535353 ...........................(B)

It is important to obtain 2 equations in x , where the recurring part after the decimal points are exactly the same.

(B) - (A) : 99x = 53 # rArr x = 53/99 #

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Answer 2

Eva Abramson

To convert 0.53 (repeating) to a fraction:

Let x = 0.53 (repeating)

Multiply x by 100 to move the decimal point two places to the right: 100x = 53.535353...

Subtract x from 100x: 100x - x = 53.535353... - 0.535353...

99x = 53

Divide both sides by 99: x = 53/99

So, 0.53 (repeating) can be expressed as the fraction 53/99.

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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.