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IF you will substracte ⅔| from 2/4 you must firste reduce bothe the fractions into a common denomination by the fyrst re∣duction, and you shall finde 8/12 for the ⅔, and 9/12 for the ¾. Therefore abate the numerator 8. from the numerator 9. and there remaineth 1/12 as may appere here by practise.
〈 math 〉〈 math 〉
2. But if you haue a broken nōber, to bee substracted from a whole nom∣ber, you must borow one of the whole nomber, and resolue it into a fraction of like denomination, as is the frac∣tion, which you would abate from the same whole nomber, and then abate the saied fraction there from, and you shall finde what doeth remaine, as by this example. If you abate ⅘ from. 8. you must borowe out of the said. 8. and resolue it into fiftes like vnto the frac∣tion, because it is 4. fiftes, that. 1. will bee 5. fiftes thus 5/5. therefore abate ⅘. from 5/5. and there will remaine ⅘, and substract that. 1. whiche you borowed from 8. and there doeth remain. 7. and also the ⅕. Thus the ⅘ being substrac∣ted frō. 8. doeth leaue. 7. ⅕, as by prac∣tise
doeth plainly appere 〈 math 〉〈 math 〉
3. If you will substract broken nom∣ber, from whole nomber, and broken beyng together: thus, as if you would substract ¾. from. 6. ⅚, you maie by the first substraction, abate ¾. from ⅚, and there will remaine 1/12, and the 6. doeth still remaine whole, because that 5/4. beyng abated from. 6. ⅚. leaueth. 6. 1/12. as appeareth by practise. 〈 math 〉〈 math 〉
Likewise if you will abate ⅔, from 14. ⅖, you muste firste reduce. 14. ⅖. all into fiftes by the. 6. reduction, and thei
bee 〈◊〉〈◊〉, then reduce ⅔. into a common denomination, by the firste reduction, and you shall finde 10/15. for the ⅔: and 21••/15 for the 70/5: then substracte the numera∣tor. 10. of the firste fraction, from the numerator. 216. of the seconde fractiō, and there remaineth 206/15. Therfore di∣uide 206. by. 15. and thereof commeth 13.11/15, and so muche remain of this sub∣straction, as maie appeare. 〈 math 〉〈 math 〉
4. If you will substracte whole nō∣ber and broken, from whole and bro∣ken,
as thus, if you will substract. 9¼. from. 20. ½. you must reduce. 9. ¼. into fowerthes, and likewise the. 20 ½. in∣to halfes by the sixt reductiō: and you shall find 37/4 for the. 9. ¼. And 42/2. for the 20. ••/2. Then reduce 57/4 and 31/2 into one denominatiō, accordyng vnto the first reduction and you shall finde 74/8 for the 37/4, and ••64/•• for the 41/2 thā abate the nu∣merator of ••65/8 and there remaineth 90/8 then diuide 90. by 8. and thereof commeth 11. ½ whiche is the remaine of this substraction. 〈 math 〉〈 math 〉
5. If you will substracte, the ½ of ⅔ of ⅗. from the ⅚. of ¾. of ⅞, you muste firste bryng the ½. of ⅔. of ⅗. into one fraction by the. 3. reduction, and the ⅚ of ¾ of ⅞ likewise into one fraction by the same reduction, and you shal finde 6/30. for the firste. 3. broken nombers, whiche beyng abreuied dooe make. ⅕: and for the other 3. broken nombers, you shall finde 105/192: whiche beyng like∣wise abreuted dooe make 35/64. then you shall substracte ⅕. from. 35/64. by the in∣struction of the firste substraction, in reducyng bothe the fractions into a common denomination, as before is dooen, and you shall finde remainyng 〈◊〉〈◊〉/3••0, as maie appeare by example. 〈 math 〉〈 math 〉