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On the contrary a fraction, or the ratio of which it is the exponent, will be diminished by diminishing its numerator or by encreasing its denominator. Thus 4-1/7=3/7<4/7. and 4/7+1=4/8<4/7.

It is also to be observed that if the numerator be multiplied by any quantity or the dinominator divided by the same quantity, the fraction is encreased in the same degree precisely; & vice versa. deletion Thus /deletion Thus formula. And formula.

It is also evident that multiplication by any fraction b/a is the same thing as division by its reciprocal a/b. From whence may be derived a short rule & early remembred for the division of fraction, which is