CHAPTER III-FRACTIONS. 63 quantities, as, (being equal in number to the given compound frac- tions), 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. 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) 111. (Given) Examples in complex fractions. and say what the sum is when these are added. 112. After subtracting, and also and 23 the remainder. Thus end Compound and Complex Fractions. from 9, give out Bhaganubandha Fractions. The rule in respect of the (simplification of) Bhaganubandha or associated fractions :- 113. In the operation concerning (the simplification of) the Bhagānubundha class (of fractions), add the numerator to the partially known compound fractions. we divide them in order by of , and of respectively The fractious thus obtained, vir. 3, , and 1, are the quantities to be found out. 113. Bhajan ubandha hiterally means an associated fiaction This rule contem- plates two kinds of associated fractions. The first 18 what is known as a mixed number, 2 e., a fraction associated with an mteger. The second kind consists of fractions associated with fractions, e g., associated with 3, associated with its own and with of this associated quantity. The expression" associated of. The meaning of the other example here 18+of This kind of relationship is what is denoted by association with means 3+ of (+ of 3). in additive consecution.
