In order to find the simplified fraction that equals to 0.17, we need to take all the options given and start dividing them until we find the one that equals to 0.17
So, let's get started....
A) 9/17 = 0.52 So this NOT the answer B) 8/45 = 0.17 This is the answer C) 17/9 = 1.88 D) 16/90 = 8/45 = 0.17 Here is where the trick is. You see that B and D has the same final answer. Well, they ask for the simplified fraction. D or 16/90 was not simplified until we simplified it. But the others were already simplified. So, that's why we eliminated D.