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 235

38
GANITASARASANGRAHA.
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 splendour proceeding from the tops 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 Kalasavarna (t.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-roduction, if that be possible in relation to them.
Examples in illustration thereof.
3. Tell me, friend, dried ginger, if he gets
what a person will got for of a pala of of a pana for 1 pala of such ginger. 4. Where the price of 1 pala of pepper is of a pana, there, say, what the price will be of g of a pala.
5. A person gets of a pala of long pepper for 1 pana. O arithmetician, mention, after multiplying, what (he gets) for
panas.
6. Where a merchant buys of a pala of cumin seeds for 1 pana, there, O you who possess complete knowledge, mention what (he buys) for panas.
7. The numerators of the given fractions begin with 2 and go on increasing gradually by 2; again their denominators begin
*Kalasavarna literally means parts resembling, since kala denotes the sixteenth part. Hence the term Kalasavarna has come to signify fractions in general.
2. When is reduced asx, the process of cross-reduction is applied. 7. The fractions herein mentioned are: 3,,, &o.