Sunday, April 21, 2024

Fraction tricks. I changed the name to Tempu. I don't know much about Tempu Nakamura, so I'll look into it again.

This is Tenfu from Seito Shijuku. . I changed his name to my nickname Amakaze. It may have been taken from Tempu Nakamura, but I have never read any of the books, so I would like to post my impressions after reading them again. By the way, the reason I tried to change my name to Amakaze, which I have never read before, was because I was attacked by a zombie calling myself Amakaze in a dream. Even though you were attacked, are you going to call it heaven? ? It looks like the surprised mark is shouting, but that zombie may be my future self. Maybe they will survive until they become zombies.


Today we'll be talking about interesting mechanisms of fractions. For example, suppose we have the fraction 2/9=10/45. If we look at this fraction in the combination A/B=C/D, we get A=2, B=9, C=10, D=45. 2/9=10/45=1/4.5. What happens if we turn this fraction upside down? In other words, let's rotate the previous equation by 90 degrees: B/D=A/C. 9/45=2/10=1/5, so both sides are equal. What if you rotate it 90 degrees? Since D/C=B/A, 45/10=9/2=1/4.5, and the equation holds true.


What impressed me the most during my 5 hours of research today was the discovery of the above fraction. Let's analyze fractions a little more using simple formulas.


Suppose we have a problem where (a+5)/(2a+7)=3/5. The answer to this problem is a=4, so (4+5)/(2×4+7)=9/15=3/5. What if we knew in advance that 3/5 on the right-hand side is 9/15? In that case, two equations will be created to find the very simple answer: (a+5)=9 and (2a+7)=15. Is there a way to predict the value 3/5 on the right side to be the correct ratio, 9/15?


Let's calculate this formula as is. a+5=3→a=-2, 2a+7=5→a=-1


In this case, is 3, the sum of a=-2 and a=-1, related to 9/15 and 3/5?


Let's consider one more question: a²+5a+6=0. Since (a+5)/1=(-6)/a, the numerators on both sides are a+5=-6, so a=-11, and the denominators on both sides are a=1, so the difference between the two a's is 12.


[Report] From now on, I'm planning to post my medical research results on Seito Medical School, but I'm thinking of posting my research on mathematics and other subjects here on Seito Medical School. This is Shijuku, after all. Just in case. I also plan to include the content of books related to business in this school. Thank you for your understanding. I also have an English version of my blog, so I would like to introduce it to you. See you soon~.

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