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
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.