Question

. Express 0.6767….. in the form



, where p and q are the integers and q ≠ 0​

Answer 1

Answer:

67/99

Step-by-step explanation:

Let

Let x=0.676767.....

Let x=0.676767.....Therefore 100x=67.676767....

Let x=0.676767.....Therefore 100x=67.676767....100x-x=67.676767....-0.676767....

Let x=0.676767.....Therefore 100x=67.676767....100x-x=67.676767....-0.676767....99x=67

Let x=0.676767.....Therefore 100x=67.676767....100x-x=67.676767....-0.676767....99x=67Therefore x=67/99

Let x=0.676767.....Therefore 100x=67.676767....100x-x=67.676767....-0.676767....99x=67Therefore x=67/9967/99=0.676767....