Willsfords arithmetick, naturall, and artificiall: or, decimalls. Containing the science of numbers, digested in three books. Made compendious and facile for all ingenious capacities, viz: merchants, citizens, sea-men, accomptants, &c. Together with the theorie and practice united in a sympathetical proportion betwixt lines and numbers, in their quantitites and qualities, as in respect of form, figure, magnitude and affection: demonstrated by geometrie, illustrated by calculations, and confirmed with variety of examples in every species. / By Thomas Willsford, Gent.

A whole, or a mixt number being given to be divided, by any mixt number propounded. Paradigma 4.

In the first columne 〈 math 〉〈 math 〉 there is given 36 to be di∣vided by 4 ½ which is the Divisor, and made an im∣proper fraction will be 9/2, the Dividend 36/1, which multiplied by 2 (the Divisors Denominator) pro∣duceth 72, for the new Numerator, then 1 mul∣tiplied by 9 is but 9 for the Denominator, so the Quotient is 72/9 or 8 Integers; now if 9/2 should be divided by 36/1 the Quotient would have been a fra∣ction of 9/72 or ⅛, as for these it is evident, that 4 ½ the Divisor multiplied by 8 the Quotient, the pro∣duct will be 36, the Dividend as before: and so likewise 36 the Divisor, multiplied by ⅛ the last Quotient the product will be 36/8, that is 4 ½ the Di∣vidend. In the second columne there are two mixt numbers given to be divided, viz: 3 ⅓ & 6 ⅔, which made improper fractions, will be 10/3 & 20/3: and if 10/3 be the Divisor, the Quotient will be 60/30 or 2 whole numbers, as in respect of themselves, and by the ope∣ration in the Scheme appears, for 6 ⅔ contains 3 ⅓ twice, and is evident in themselves, and consequent∣ly if 20/3 were to divide 10/3, the quotient would be 30/60 or ½, the Divisor being twice the Dividend.