If a person ate two foods, one of which requires him to recite a "Me’en Shalosh" (such as "Al Ha’mihya" or "Al Ha’etz") and the other "Boreh Nefashot," the procedure he should follow for reciting the Berachot depends on what kinds of food he ate.
If he ate a food requiring him to recite "Al Ha’mihya" and also ate rice, then he recites only "Al Ha’mihya," and this Beracha covers the rice, as well. Even though the accepted practice is to recite "Boreh Nefashot" after eating rice (a Halacha represented by the acrostic "Amen" – "Orez Mezonot Nefashot"), in this case, it is covered by the "Al Ha’mihya." Thus, for example, if a person ate a portion of rice and a piece of cake, he would recite only "Al Ha’mihya." This is the ruling of the Ben Ish Hai (Rav Yosef Haim of Baghdad, 1833-1909), in Parashat Pinhas (18).
A different case involves a person who ate a food upon which one recites "Boreh Peri Ha’adama" before eating, such as watermelon, together with a food requiring "Me’en Shalosh," such as cake or one of the seven special fruits (such as grapes or figs). In this case, after eating one must recite both "Boreh Nefashot" over the watermelon, and "Me’en Shalosh" over the cake or fruit. Normally, one recites "Me’en Shalosh" before "Boreh Nefashot." However, Hacham Ovadia Yosef rules that in the case described, one should first recite "Boreh Nefashot" over the watermelon and then the "Me’en Shalosh" over the cake or fruit. The reason is that the Beracha of "Me’en Shalosh" makes reference to "Tenubat Ha’sade" ("the produce of the field") which might cover all foods that grow from the ground. It is therefore preferable to avoid this questionable situation and recite "Boreh Nefashot" before the "Me’en Shalosh."
If a person ate fruits from the seven special species, such as grapes, and also ate other kinds of fruit, such as apples, then he only recites the Beracha of "Al Ha’etz." Even though after eating apples one generally recites the Beracha of "Boreh Nefashot," in this case, since he must in any event recite "Al Ha’etz" over the grapes, that Beracha covers all fruits, including fruits that are not among the seven special species.
Summary: A person who ate rice and foods requiring "Al Ha’mihya" – such as cake – recites after eating only the Beracha of "Al Ha’mihya." A person who ate a food requiring "Boreh Peri Ha’adama" – such as watermelon – together with foods requiring "Al Ha’mihya" (such as cake) or "Al Ha’etz" (such as grapes), then he recites "Boreh Nefashot" followed by "Al Ha’mihya" or "Al Ha’etz." If a person ate fruits requiring "Al Ha’etz" (such as grapes) together with fruits requiring "Boreh Nefashot" (such as apples), then after eating he recites only "Al Ha’etz."
