How do you convert 0.07 (7 being repeated) to a fraction?

Answer 1

#7/90#

We first let 0.07 (7 being repeated) be #x#.
Since #x# is recurring in 1 decimal places, we multiply it by 10.
#10x = 0.77#

We then deduct them.

#10x - x = 0.77 - 0.07#
#9x = 0.7#
Lastly, we divide both sides by 9 to get #x# as a fraction.
#x = 0.7/9#
#= 7/90#
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Answer 2

To convert 0.07 (7 repeating) to a fraction, you can use the following steps:

  1. Let x = 0.077777... (repeating decimal).
  2. Multiply both sides of the equation by 100 to shift the decimal two places to the right: 100x = 7.7777... (repeating decimal).
  3. Subtract the original equation from the multiplied equation: 100x - x = 7.7777... - 0.0777... = 7.
  4. Simplify: 99x = 7.
  5. Divide both sides by 99: x = 7/99.

Therefore, 0.07 (7 repeating) is equal to 7/99 as a fraction.

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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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