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IF you wyll double any broken number, you shal diuide ye same by ½: likewise if you will triple any fraction you must diuide it by 1/3. And for to quaduple any broken nū∣ber, you shall diuide it by ¼, and so is to be vnderstande of all other.
IF you wil double ⅜ you shal diuide ⅜ by ½, and thereof com∣meth 6/8 〈 math 〉〈 math 〉, which being ab∣breuied are ¾: as by ex∣ample.
Or otherwise, in case the denomina∣tor of any fraction bee an euen num∣ber, you may take halfe the sayde de∣nominator, without anye other ope∣ration, and the numerator to abyde still ye numerator, vnto the said halfe of the denominator of the Fractiō, as by the other exāple before rehearsed: that is to say of ⅜, take ½ of 8. which is 4. and that is the denominator, and 3. remaineth stil numerator to 4. and it maketh ¾ and so of all other. But in case the denominator bee an odde number, that is to say, not euen, thē you may multiply the numerator by 2. or else double ye numerator, which is al one thing, and that fraction shal bee doubled. Example, if you will double ⅗ you must only multiply the numerator 3. by 2. & they be 6. which maketh that fraction to be 6/5, ye which 6. being diuided by 5. bringeth 1. ⅕ and so much is the double of ⅗.
If you will triple ⅗ you must diuide ⅗ by ⅕ and thereof commeth 9/5 whiche beinge diuided bryngeth 1 ⅘, or other∣wise, bicause the denominator is an odde number you may multiplie the numerator 3. by 3, and thereof com∣meth 9. which maketh 9/3 as before.
If you will quadruple ⅘, you shall diuide ⅘ by ¼ and thereof commeth 16/5 which 16. being diuided by 5. bringeth 3 ⅕, or otherwise, bicause the denomi∣nator of ye fraction is an odde nūber, you shall multiplie the numerator of the ⅘ that is to say 4. by 4. and therof commeth 16. the which diuide by 5. and you shall finde 3. ⅕ as before, and this sufficeth for duplacion, triplaciō and quadruplacion.