Morgoth's Ring, 2nd paragraph, page 213
In all such things, not concerned with the bringing forth of children, the _neri_ and _nissi_ (that is, the men and women) of the Eldar are equal -- unless it be in this (as they themselves say) that for the _nissi_ the making of things new is for the most part shown in the forming of their children, so that invention and change is otherwise mostly brought about by the _neri_. There are, however, no matters which among the Eldar only a _ner_ can think or do, or others with which only a _nis_ is concerned. There are indeed some differences between the natural inclinations of _neri_ and _nissi_, and other differences that have been established by custom (varying in place and in time, and in the several races of the Eldar). For instance, the arts of healing, and all that touches on the care of the body, are among all the Eldar most practised by the _nissi_; whereas it was the elven-men who bore arms at need. And the Eldar deemed that the dealing of death, even when lawful or under necessity, diminished the power of healing, and that the virtue of the _nissi_ in this matter was due rather to their abstaining from hunting or war than to any special power that went with their womanhood. Indeed in dire straits or desperate defence, the _nissi_ fought valiantly, and there was less difference in strength and speed between elven-men and elven-women that had not borne child than is seen among mortals. On the other hand many elven-men were great healers and skilled in the lore of living bodies, though such men abstained from hunting, and went not to war until the last need.

Morgoth's Ring, 1st paragraph, page 214
As for other matters, we may speak of the customs of the Noldor (of whom most is known in Middle-earth). Among the Noldor it may be seen that the making of bread is done mostly by women, and the making of the _lembas_ is by ancient law reserved to them. Yet the cooking and preparing of other food is generally a task and pleasure of men. The _nissi_ are more often skilled in the tending of fields and gardens, in playing upon instruments of music, and in the spinning, weaving, fashioning, and adornment of all threads and cloths; and in matters of lore they love most the histories of the Eldar and of the houses of the Noldor; and all matters of kinship and descent are held by them in memory. But the _neri_ are more skilled as smiths and wrights, as carvers of wood and stone, and as jewellers. It is they for the most part who compose musics and make the instruments, or devise new ones; they are the chief poets and students of languages and inventors of words. Many of them delight in forestry and in the lore of the wild, seeking the friendship of all things that grow or live there in freedom. But all these things, and other matters of labour or play, or of deeper knowledge concerning being and the life of the World, may at different times be pursued by any among the Noldor, be they _neri_ or _nissi_.