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Let him reckon how many of the ten thousand or so names here recorded he has ever heard of before, let him make this myriad the denominator of a fraction to which the dozen perennial fames shall be the numerator, and he will find that his dividend of a chance at escaping speedy extinction is not worth making himself unhappy about.
Pelageya Ivanovna's footsteps are heard through the door. Pavel Vassilitch winks towards the door and says: "There's mother coming. Let's get to work. Well, so you see, my boy," he says, raising his voice. "This fraction has to be multiplied by that one. Well, and to do that you have to take the numerator of the first fraction. . ." "Come to tea!" cries Pelageya Ivanovna.
This official had asked the candidate, when he came for examination, to add together 2/3, 3/4, 5/6, and 7/8, whereupon he wrote: "Since you cannot reduce these fractions to a common denominator, I adopt the method of multiplying the numerators together for a new numerator, and the denominators together for a new denominator=210/576!
The natural man lives for himself; he is the unit, the whole, dependent only on himself and on his like. The citizen is but the numerator of a fraction, whose value depends on its denominator; his value depends upon the whole, that is, on the community.
I can get some sort of hack work something that won't take much of my time, and which I can do with my left hand. But the great point, after all, is to make your wants simple; to live like an Arab, content with a few dates and a swallow from the gourd. 'Lessen your denominator. It's easier than raising your numerator, and the quotient is the same." "No, it's not the same," Berkeley retorted.
"So true is it, what I then said, that the Fraction of Life can be increased in value not so much by increasing your Numerator as by lessening your Denominator. Nay, unless my Algebra deceive me, Unity itself divided by Zero will give Infinity. Make thy claim of wages a zero, then; thou hast the world under thy feet.
The schoolboy, who knows that the master is going to dictate a fraction to him, draws a line before he knows what numerator and what denominator are to come; he therefore has present to his mind the general relation between the two terms although he does not know either of them; he knows the form without the matter.
He also gave me a piece of advice that I have always remembered, namely, that, if I was not going to earn money, I must even things up by not spending it. As he expressed it, I had to keep the fraction constant, and if I was not able to increase the numerator, then I must reduce the denominator.
We soon find that we are not so much worse off than most of our neighbors as we supposed. The fractional value of the wisest shows a small numerator divided by an infinite denominator of knowledge. I made some explanations to The Teacups, the other evening, which they received very intelligently and graciously, as I have no doubt the readers of these reports of mine will receive them.
A whorl occurring in the first pair counts 16 in the second, the third 4, the fourth 2, and the fifth 1. Thus Green's effort became The figure one was added to both numerator and denominator, and Green at once went to the fourteenth pigeon-hole, in a row of the filing cabinet numbered 21. There, if anywhere, he would find the record that he sought.
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