Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 260

CHAPTER III-FRACTIONS.
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quantities, as, (being equal in'number to the given compound fractions), have their sąm equal to the given sum of the partially given compound fractions) : then, divide these (optionally chosen) values of the unknown (compound-fractional) quantities by (their) known (elements) respectively.
An example in illustration thereof. 110. (The following partially known compound fractions, viz.,) 1 of a certain quantity, tof of another (quantity), and of
of (yet) another (quantity give rise to) i as (their) sum. What are the unknown (elements here in respect of these compound fractions)?
Examples in complex fractions. 111. (Given) }, }, { and }; say what the sum is when these are added.
112. After subtracting }, }, and also and }, from 9, give out the remainder.
Thus end Compound and Complex Fractions.
Bhāgānubandha Fractions. The rule in respect of the (simplification of) Bhāgānubandha or associated fractions :
113. In the operation concerning (the simplification of) the Bkāgānubandha class (of fractions), add the numerator to the
partially known compound fractions, we divide them in order by , t of , and off respectively. The fraetious thus obtained, viz, 5, 8, and /, are the quantities to be found out.
113. Bhågānubandha literally means an associated fraction. This rule contemplates two kinds of associated fractions. The first is what is known as a mixed number, i.e., a fraction associated with an integer. The second kind consists of fractions associated with fractions, e.g., associated with }, associated with its own and with 1 of this associated quantity. The expressione associated with ” means 1 + $ of. The meaning of the other example here is + of
+ of H+ of }). This kind of relationship is what is denoted by ##sociation in additive consecution.