How do you convert 3.76 (6 being repeated) to a fraction?

Answer 1

#113/30#

We first let 3.76 (6 being repeated) be #x#.
Since #x# is recurring in 1 decimal places, we multiply it by 10.
#10x = 37.66#

We then deduct them.

#10x - x = 37.66 - 3.76#
#9x = 33.9#
Lastly, we divide both sides by 9 to get #x# as a fraction.
#x = 33.9/9#
#= 339/90#
#= 113/30#
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Answer 2

To convert 3.76 with the 6 repeating to a fraction, you can represent it as ( \frac{376}{100} ). Then, simplify the fraction if possible. In this case, you can divide both the numerator and the denominator by 4 to get ( \frac{94}{25} ). Therefore, 3.76 (6 repeating) as a fraction is ( \frac{94}{25} ).

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Answer 3

To convert 3.7666... to a fraction, you can follow these steps:

  1. Let x = 3.7666...
  2. Multiply both sides of the equation by 10 to remove the repeating decimal: 10x = 37.666...
  3. Subtract the original equation from the equation obtained in step 2: 10x - x = 37.666... - 3.7666... 9x = 34.9
  4. Solve for x: x = 34.9 / 9
  5. Simplify the fraction: x = 349 / 90

So, 3.7666... can be expressed as the fraction 349/90.

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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.

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.

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.

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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