Difference between revisions of ".Mzcw.NzIwNA"
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| − | [[underline]] | + | [[underline]] invert the [[unclear]] & proceed as in the multiplication [[/underline]] |
| + | Thus [[formula]]. So [[formula]]. | ||
| + | |||
| + | 81. When [[unclear]] many ratios are proposed to be | ||
| + | compounded into one, or when many fractions | ||
| + | are to be multiplied together it will shorten | ||
| + | the operation to examine what common divisors | ||
| + | the numerators & denominators have. For by | ||
| + | dividing any one or more numerators, and | ||
| + | any one or more denominators by those common | ||
| + | divisors, the product will not be altered | ||
| + | in its value but will be expressed in smaller | ||
| + | numbers: it being evident for instance | ||
| + | that [[formula]]; | ||
| + | but this last expression is much more | ||
| + | complex than the former. So in numbers, | ||
| + | if 8/9, 9/10, 15/16, 8/9, 9/10, 8/9, 15/16, were proposed to be | ||
| + | multiplied they might be placed & reduced | ||
| + | thus, [[formula]] | ||
Latest revision as of 19:37, 11 August 2018
(23) underline invert the unclear & proceed as in the multiplication /underline Thus formula. So formula.
81. When unclear many ratios are proposed to be compounded into one, or when many fractions are to be multiplied together it will shorten the operation to examine what common divisors the numerators & denominators have. For by dividing any one or more numerators, and any one or more denominators by those common divisors, the product will not be altered in its value but will be expressed in smaller numbers: it being evident for instance that formula; but this last expression is much more complex than the former. So in numbers, if 8/9, 9/10, 15/16, 8/9, 9/10, 8/9, 15/16, were proposed to be multiplied they might be placed & reduced thus, formula
