is it possible to fit gravel tires for Cannondale CAAD 9? If yes then can you please suggest some good ones.
The bike looks very similar to the one in the picture.
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Most modern road bike rim brakes only have clearance for 28 or 30mm wide tires. Unfortunately I’m not aware of any real gravel or cyclocross tire with less than 30mm width. With disc brakes some road bikes have clearance up to ~35mm width.
Edit: I should add that older brakes and frames have less clearance, the ability to fit 25 or 28mm tires has really only become commonplace in the last few years. Older (or more race oriented) bikes are sometimes limited to as little as 23mm.
Your best bet is probably Panaracer’s GravelKing SK (small knob) which is available in 28mm width and does have some tread (tiny knobs).
However, I don’t think the tiny knobs are going to make much difference for grip (maybe on grass or relatively firm mud).
Low tire pressure is going to help you much more. I’d just get a high quality road tire (e.g. Conti’s GP5000) and run it at as little pressure as possible.