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Here Ends the Fifth Chapter and Begins the Sixth Chapter on the Multiplication of Integral Numbers with Fractions

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Fibonacci’s Liber Abaci

Abstract

Moreover if you [1] will wish to multiply a number of any number of places plus a fraction of one or several parts by a number plus a fraction of one or several parts, then you write the greater number and its fraction beneath the smaller number and its fraction, namely number beneath number, and fraction beneath fraction. And you take the upper number and its fraction, and make such a fraction which equals the given fraction plus its number. And similarly with the lower you make its fraction, and you will multiply the made fraction of the upper number by the made fraction of the lower. And in the product fraction you divide the numerator by both numbers under the fraction line, namely the ones arranged there; and you will have the product, a number plus a fraction. And this is clearly shown in demonstrations with numbers.

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© 2002 Springer Science+Business Media New York

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Sigler, L. (2002). Here Ends the Fifth Chapter and Begins the Sixth Chapter on the Multiplication of Integral Numbers with Fractions. In: Fibonacci’s Liber Abaci. Sources and Studies in the History of Mathematics and Physical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0079-3_7

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  • DOI: https://doi.org/10.1007/978-1-4613-0079-3_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-40737-1

  • Online ISBN: 978-1-4613-0079-3

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