Change the decimal to a fraction: 0.2626262626...(1 point) Responses 2626100262610026 and 26 over 100 2699269926 over 99 Cannot be written as a fraction Cannot be written as a fraction 261002610026 over 100 2610

Answer 1

To change the decimal 0.2626262626... to a fraction, we can use the method of geometric series.

Let x = 0.2626262626...

Then, 100x = 26.2626262626...

Now, subtract the original equation from the second equation:

100x - x = 26.2626262626... - 0.2626262626...

99x = 26

Divide both sides by 99:

x = 26/99

So, the decimal 0.2626262626... can be written as the fraction 26/99.