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Chapter (A–VI) on the Addition of fractions to fractions

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The Liber mahameleth

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There are five cases of addition of a fraction to a fraction. First case. (A.145) You want to add three eighths to four fifths. (a) You will do the following. Multiplying the denominators of the fractions produces forty, which is the principal number. Next, add three eighths of the principal number, thus fifteen, to four fifths of this same principal number, thus thirty-two; this makes forty-seven. Dividing it by the principal gives one and an eighth and two fifths of an eighth, and this is the result from the addition of the proposed quantities.

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Sesiano, J. (2014). Chapter (A–VI) on the Addition of fractions to fractions. In: The Liber mahameleth . Sources and Studies in the History of Mathematics and Physical Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-03940-4_40

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