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Where is the splintering happening? If at the back of the cut where the blade is exiting, add a scrap piece behind your 1X4 to support the wood fibers from tearing out. You can also try wrapping with blue painters tape, then cut through the tape. That will also support the wood fibers. Yes, a higher tooth cross cut or combo blade would help since you are cutting cross grain, not ripping. Let’s us know what you find success with.