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39
CHAPTER III--FRACTIONS.


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, they 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, when (the fractions constituting) 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 pala of asafoetida is of a paņa, what does a person get if he sells 1 pala at that (same) rate ?

10. In case a person gets of a paņa, for of a pala, of red sandalwood, what will he get for 1 pala (of the same wood) ?

11. When palas, of the perfume nakha is obtainable for of a paņa, what (will be obtainable) for 1 paņa 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 (throughout) 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) ; (ii).