Change the decimal to a fraction: 0.2626262626...(1 point) Responses 2610 2 and 6 tenths Cannot be written as a fraction Cannot be written as a fraction 26100 26 over 100 2626100 26 and 26 over 100 2699

Answer 1

To change the decimal 0.2626262626... to a fraction, we can use the method of converting repeating decimals to fractions.

Let x = 0.2626262626...

We can create an equation by multiplying x by a power of 10 such that when we subtract it from x, the repeating part of the decimal will cancel out.

100x = 26.2626262626...

Now, we subtract the two equations:

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

99x = 26

Therefore, the fraction equivalent of 0.2626262626... is 26/99.