Change the decimal to a fraction: 0.2626262626...(1 point) Responses 2626100 26 and 26 over 100 26100 26 over 100 Cannot be written as a fraction Cannot be written as a fraction 2699 26 over 99 2610

Answer 1

To convert the decimal 0.2626262626... to a fraction, we can let x = 0.2626262626... and subtract it from 100x, giving us:

100x - x = 26.2626262626... - 0.2626262626...
99x = 26

Dividing both sides of the equation by 99, we get:
x = 26/99

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