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Probably at about a similar rate. We know for example that in antiquity infanticide was pretty common. Finding a dead baby in the street wasn’t much different from finding a dead dog in the street. Our increased value of the lives of children is a pretty recent phenomenon. Women have abortions for the same reasons they used to kill born babies, the man won’t be around, social stigmatization, lack of a social safety net (familial disownment for example).
If you really want to curb the rate of infanticide or abortion you’d have to find a way to prevent women from getting pregnant overly young, and force the man to remain with the woman and read the child. This would require pretty massive government or social intervention though and that would lead to its own problems. In the interim I’d say the most pragmatic solution is education on safe sex practices.