CHAPTER III.
FRACTIONS
The Second Subject of Treatment.
1. Unto that excellent Lord of the Jinas, by whom the tree of karman has been completely uprooted, and whose lotus-like feet are enveloped in the halo of splendor proceeding from the top of the crowns belonging to the chief sovereigns in all the three worlds --(unto that Lord of the Jinas), I bow in devotion.
Hereafter, we shall expound the second subject of treatment known as Kalāsavarņa* (i.e., fractions).
Multiplication of Fractions
The rule of work here, in relation to the multiplication of fractions, is as follows:--
2. In the multiplication of fractions, the numerators are to be multiplied by the numerators and the denominators by the denominators, after carrying out the process of cross-reduction, if that be possible in relation to them.
3. Tell me, friend, what a person will get for of a pala of dried ginger, if he gets of a paņa for 1 pala of such ginger.
4. Where he price of 1 pala of pepper is of a paņa, there, say, what the price will be of of a pala.
5. A person gets of a pala, of long pepper for 1 paņa. O arithmetician, mention. after multiplying, what (he gets) for paņas.
6. Where a merchant buys of a pala of cumin seeds for 1 paņa, there, O you who possess complete knowledge, mention what {he buys) for paņas. 7. The numerators of the given fractions begin with 2 and go on increasing gradually by 2; again their denominators begin
*Kalāsavarņa literally means parts resembling , since kalā denotes the sixteenth part, Hence the term Kalāsavarņa has come to signify fractions in general.
2. When is reduced as , the process of cross-reduction is applied.
7. The fractions herein mentioned are: .
