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 258

CHAPTER 111-FRACTIONS.
rules, when the sum (of all the intended fractions) is one; and also (the rule) for getting at (the value of) the part that is left out :
95. The denominators derived in accordance with any) chosen rule, when (severally) multiplied by the denominators derived in accordance with another rule, become the (reqnired) denominators. The sum of all the fractions), diminished by the sum of the specified part (thereof), gives the measure of the optionally left-. out part.
Examples in illustration thereof. . 96. The number of fractions (obtained) hy rule No. 77 is 13, and 4 (is obtained) by rule No. 78. When the sum of the fractions arrived at with the help of these rules) is 1, how many are the component) fractions ?
97. The number of fractions (obtained) by rule No.78 is 7, and 3 (is obtained) by rule No. 77. When the sum of the fractions arrived at) with the help of these (rules) is 1, how many are the (component) fractions ?
98. Certain fractions are given with 1 for each of their numerators, and 2, 6, 12 and 20 for their respective denominators. The (fifth fractional) quantity is here left out. The sum of all these five) being 1, what is that (fractional) quantity (which is left out) ?
Here end Simple Fractions.
Compound and Complex Fractions The rule for (simplifying) compound and complex fractions :
99. In (simplifying) compound fractions, the multiplication of the numerators (among themselves) as well as of the denominators (among themselves) shall be (the operation). In the operation (of simplification) relating to complex fractions, the denominator of (the fraction forming) the denominator (becomes) the multiplier of the number forming the numerator (of the given fraction).
99. The complex fraction here dealt with is of tho sort which has an integer for the numerator and a fraction for the denominator,