Hi low A260/230 might indicate the presence of contaminant that absorbs 230nm, for example phenols, EDTA or carbohydrates

Yes, low A260/230 indicates the contaminants that can interfere with your PCR reactions further. Dilute the DNA before putting up your reactions because this minimize the effect of contaminants, I hope this will work for you

Thanks.

How did you prepare your fragments ? If you used an agarose gel extraction kit such as Machery Nagel or Qiagen gel and PCR purification kits, the extraction buffer that dissolves the agarose contains guanidine thiocyanate, which absorbs very strongly at 230 nm, but very weakly at 260 and 280 nm. Traces of thiocyanate will therefore strongly decrease the A260/A280 ratio, and, if present in too high concentration, interfere with further enzyme reaction. Pure DNA should have a 260/230 ratio of about 2.3. A ratio of 0.5-1 is still acceptable for most purposes. But in your case 0.03-0.09 is very low indeed. One way to improve this if you are using one of the above kits to prepare your fragments is to perform a second wash with the ethanol-containing buffer before eluting the DNA from the column filter. Also mak sure that yu use a clean collecting tube for eluting the DNA

Hello for ligation this will be perfectly fine I have done multiple plasmids this way. You will see this kind of ratio more often when you gel purify but go right ahead with the ligation.