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पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२४९

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CHAPTER III-FRACTIONS. by dividing the denominators by means of a common factor thereof, (the quotient derived from the denominator of either of the fractions being used the multiplication of the numerator and the denominator of the other fraction), those (fractions) become so reduced as to have equal denominators. Then) removing one of these (equal) denominators, the numerators are to be added to one another) or to be subtracted (from one another, so that the result may be the numerator in relation to the other equal denominator: Another rule for arriving at the common denominator in another manner :- " 56. The narudilha (or the least common multiple is obtained by means of the continued multiplication (all) the possible). common factors of the denominators and all, their ultimate) quotients. In the case of all, such multiples of the denominators and the numerators of the given fiactions, a, are obtained by multiplying those (denominators and mumerators by incans of the quotients derived from the division of the radila by the (respective denominators, the denominators become equal (in value;. Examples in illustration thereof. 37 and 58. A cult purchased, for the worship of Jina, jambu fruits, limes, oranges, cocoanuts, plantains, mangoes and pomegranates for 2002, and of the golden coin in order; tell (me) what the result is when these fractions) are added together. 59. Add together and y. 60. (There are 3 sets of fractions), the denominatuis whereof begin with 1, 2 and 3, (respectively) and go on increasing gradually by one till the last of such denominators) becomes 9, 10 and 60. The resulting problems are to find the values of- 1 1 + ₂×3 +3/1+ 1X2 2X 2 2 4X5 3 3X+ (ii) (iii) + 2X 3 3 +- 3X4 3X4 + 4X5 +sa+ 2 +x10+10 51 2 3 +15X10 + 10