पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/२६०

64

GAŅIITASĀRASAŃGRAHA.

(product of the associated) whole number multiplied by the denominator. (When, however, the associated quantity is not integral, but is fractional), multiply (respectively) the numerator and denominator of the first (fraction, to which the other fraction is attached) by the denominator combined with the numerator, and by the denominator (itself, of this other fraction).

Examples on Bhāgānubandha fractions containing associated integers

114. Nișkas 2, 3, 6 and 8 in number are (respectively) associated with ${\tfrac {1}{12}},{\tfrac {1}{8}},{\tfrac {1}{6}}$ and ${\tfrac {5}{8}}$. O friend, subtract(the sum of these) from 20

115. Lotuses were purchased for $1{\tfrac {1}{2}}$, camphor for $10{\tfrac {1}{8}}$ and Saffron for $2{\tfrac {1}{2}}$ (nișkas). What is (their total) value when added ?

116. O friend, subtract from 20 (the following):-- $8{\tfrac {1}{8}},6{\tfrac {1}{6}},2{\tfrac {1}{12}}$ and $3{\tfrac {5}{8}}$.

117. A person, after paying $7{\tfrac {1}{4}},8{\tfrac {1}{4}},9{\tfrac {1}{4}}$ and $10{\tfrac {1}{4}}$ māșas offered in worship in a Jina temple, garlands of blooming kuravaka, kunda, jāti and mallī' flowers. O arithmetician, tell me quickly (the sum of those māșas') after adding them.

Examples on Bhāgānubandha fractions containing associated fractions.

118. (Here) ${\tfrac {1}{2}}$ is associated with its own ${\tfrac {1}{3}}$ and with ${\tfrac {1}{4}}$ (of this associated quantity); and ${\tfrac {1}{5}}$ also (is similarly associated ); ${\tfrac {1}{3}}$ is associated with its own ${\tfrac {1}{6}}$ and with ${\tfrac {1}{2}}$ (of this associated quantity). What is the value when these are (all) added ?

119. For the purpose of worshipping the exalted Jinas a certain person brings--flowers (purchased) for ${\tfrac {1}{2}}$ (nișka) associated (in additive consecution) with fractions (thereof) commencing with ${\tfrac {1}{3}}$ and ending with ${\tfrac {1}{7}}$ (in order); all scents (purchased) for ${\tfrac {1}{7}}$ (nișka) associated (similarly) with ${\tfrac {1}{2}},{\tfrac {1}{4}},{\tfrac {1}{5}}$ and ${\tfrac {1}{9}}$ (thereof); and incense (purchased) for ${\tfrac {1}{5}}$ (nișka) associated (similarly) with ${\tfrac {1}{2}},{\tfrac {1}{4}}$ and ${\tfrac {1}{3}}$ (thereof): what is the sum when these (nișkas) are added ?