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Our conclusion is must be that you will not amuse, nor inform, nor help anybody; you will not amuse, nor better, nor inform yourselves; you will sink into a state in which you can neither show, nor feel, nor see, anything, but that one is to two as three is to six. And in that state what should we call ourselves? Men? I think not. The right name for us would be numerators and denominators.

This, reduced to the greatest common divisor, or, add numerators and denominators=17/21!"

MELIHOVO, January 11, 1897. We are having a census. They have served out to the numerators detestable inkpots, detestable clumsy badges like the labels of a brewery, and portfolios into which the census forms will not fit giving the effect of a sword that won't go into its sheath. It is a disgrace.

The numerators worked excellently, with a pedantic exactitude almost absurd. On the other hand the Zemsky Natchalniks, to whom the census was entrusted in the districts, behaved disgustingly. They did nothing, understood little, and at the most difficult moments used to report themselves sick. I am in Moscow at the Great Moscow Hotel. I am staying a short time, ten days, and then going home.

Cancer is a terrible unbearable disease, the death from it is agonizing; you can imagine how pleasant it is for a man initiated into the secrets of Aesculapius to read of such results.... MOSCOW, February 8, 1897. The census is over. I was pretty sick of the business, as I had both to enumerate and to write till my fingers ached, and to give lectures to fifteen numerators.

The numerator of the third is the sum of the numerators of the first and second, its denominator, the sum of the two denominators. The same is true of the fourth fraction and the two immediately preceding it. Continuing the series, we get the fractions 5/13, 8/21, 13/34.

Of the matter of education I also have what are called "views." I may be peculiar. School-committee-men who spell Jerusalem with a G, drill-sergeants who believe in black-boards and visible numerators, statistical fellows who judge of the future fate of the republic by the average attendance at the "Primaries," may not agree with me in my idea of bending the twig.

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!