change the decimal to a fraction: 0.2626262626...
Let x = 0.2626262626...
Multiply both sides of the equation by 100, as there are two digits after the decimal point:
100x = 26.26262626...
Subtract x from 100x:
100x - x = 26.26262626... - 0.2626262626...
99x = 26
Divide both sides by 99:
99x/99 = 26/99
x = 26/99
Therefore, 0.2626262626... is equal to 26/99.