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 236

CHAPTER III - FRACTIONS.
39
with 3 and go on increasing by 2; those (numerators and denominators) are, in both (the cases), 10 in number. Mention, of what value the products here will be, when those (fractions) are multiplied, thoy being taken two by two.
Thus ends multiplication of fractions.
Division of Fractions. The rule of work, in relation to the division of fractions, is as follows:
8. After making the denominator of the divisor its numerator (and vice versa), the operation to be conducted then is as in the multiplication (of fractions). Or, whon (the fractions conscituting) the divisor and the dividend are multiplied by the denominators of each other and (these two products) are (thus reduced so as to be) without denominators, (the operation to be conducted is as in the division of whole numbers.
Examples in illustration thereof. 9. When the cost of half a palu of asafoetida is of a pana, what does a person get if he sells 1 pala at that (same) rate ?
10. In case a person gets 20 of a pana for of a pala of red sandalwood, what will ho get for 1 pala (of the same wood) ?
11. When 5,2 palas of the perfume nakha is obtainable for of a pana, what (will be obtainable) for 1 pana at that (same rate) ?
12. The numerators (of the given fractions) begin with 3 and go on increasing gradually by 1, till they are 8 in number; the denominators begin with 2 and are tthroughout) less by one (than the corresponding numerators). Tell me what the result is when the succeeding (fractions here) are divided in order by the preceding ones).
Thus ends the division of fractions.
8. (i)
+ 8 = $; (ii) = á = ad ;-bc.