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Komentarz do Challa 3:8

הַנּוֹטֵל שְׂאֹר מֵעִסָּה שֶׁלֹּא הוּרְמָה חַלָּתָהּ וְנוֹתֵן לְתוֹךְ עִסָּה שֶׁהוּרְמָה חַלָּתָהּ, אִם יֶשׁ לוֹ פַרְנָסָה מִמָּקוֹם אַחֵר, מוֹצִיא לְפִי חֶשְׁבּוֹן. וְאִם לָאו, מוֹצִיא חַלָּה אַחַת עַל הַכֹּל:

Ten, kto wyjmuje zaczyn z ciasta, z którego nie została usunięta Challah, i umieszcza go w cieście, z którego została usunięta Challah. Jeśli ktoś ma zapas ciasta z innego miejsca, może wyjąć [ Challah ] zgodnie z dokładna kwota; a jeśli tego nie zrobi, wyjmuje się jedną część chałki za całe ciasto.

Bartenura on Mishnah Challah

אם יש לו פרנסה ממקום אחר – if he has other flour besides from this dough, he brings flour according to the measure, that if he would combine to this measure that is liable for Hallah, it would have five-fourths which is the measure of Hallah, and he kneads the dough and mixes it with the dough that has the measure, and removes from it according to the measure for Hallah that he must separate from the five-fourths.
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English Explanation of Mishnah Challah

Introduction Before people bought yeast at the supermarket, people used starter dough to leaven their bread. They would take a piece of leavened dough (sour dough) from one batch and put it into another batch. Our mishnah deals with a person who takes starter dough from a batch of dough from which hallah had not been taken, and puts it into a batch of dough from which hallah had been taken. He obviously wants to avoid having to separate hallah again from dough which already had hallah removed.
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Bartenura on Mishnah Challah

ואם לאו – if he lacks flour מוציא חלה – one twenty-fourth on each dough, for eatables forbidden pending the separation of sacred gifts are prohibited in any amount in its species, and all of it would be made subject to sacred gifts for Hallah.
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English Explanation of Mishnah Challah

One who takes leaven out of dough from which hallah had not been taken and puts it into dough from which hallah had been taken:
If he has a supply from another place, he can take out [hallah] in accordance with the precise amount.
If he has another batch of dough (a third batch) from which hallah had not yet been removed, and he can use that batch to remove hallah to exempt the leaven which he put into another batch (meaning that batch is large enough), then he may do so according to the amount of leaven he added to the other batch.
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English Explanation of Mishnah Challah

But if does not, he takes out one [portion of] hallah for the whole [dough]. However, if he does not have another batch of hallah, then he must remove hallah from the batch to which he added the leaven according to the amount of dough in the entire batch, even though he only added a little bit of leaven. Since he can’t separate hallah for that little bit of leaven from another batch, it places the entire batch into which it has been under the category of dough from which hallah has not been removed.
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