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CHAPTER III-FRACTIONS.
quantities, as, (being equal in number to the given compound fractions), have their sum 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.
111. (Given)
An example in illustration thereof.
110. (The following partially known compound fractions, viz.,) of a certain quantity, of of another (quantity), and of of (yet) another (quantity give rise to) as (their) sum. What are the unknown (elements here in respect of these compound fractions)?
68
Examples in complex fractions.
and
#
; say what the sum is when these
are added.
112. After subtracting, and also and, from 9, give out the remainder.
4
Thus end Compound and Complex Fractions.
Bhāgānubandha Fractions.
The rule in respect of the (simplification of) Bhagānubandha or associated fractions:
113. In the operation concerning (the simplification of) the Bhägänubandha class (of fractions), add the numerator to the
partially known compound fractions, we divide them in order by t,t of i, and of respectively. The fractious thus obtained, viz. 1, 1, and, are the quantities to be found out.
118. Bhdganubandha 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 of this associated quantity. The expression"] associated with" means + of. The meaning of the other example here is + of 1+1 of (+1 of 3). This kind of relationship is what is denoted by association in additive consecution.
