If ABC is a positive number and a + B + C = 1, find a square + b square + C square greater than or equal to 1 / 3

Because 3 (A2 + B2 + C2) - (a + B + C) ^ 2 = (a-b) 2 + (A-C) 2 + (B-C) 2 is greater than or equal to 0, it is proved that

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1. 1. A times 4 / 3 = 12 / 11 times b = 15 / 15 times C, and ABC is not equal to 0 The sum of the reciprocal of three prime numbers is 311 / 1001. The three prime numbers are () 3. The difference between the reciprocal of two consecutive odd numbers is 2 / 195, and the two consecutive odd numbers are () 4. A and B are two different natural numbers (both are not zero). The reciprocal of a multiplied by B and then multiplied by B is () Note: numerator / denominator, / is the fractional line
2. A times 5 / 4 = B times 7 / 8 = C times 18 / 18, and a, B, C are not equal to zero, put a, B, C in the order from small to large
3. It is known that a × 8 / 7 is equal to B × 8 / 7 is equal to 2 / 2 × C ABC is not equal to 0. Please arrange ABC in order
4. It is known that a × 12 / 12 = 1 and 1 / 2 × B = 8 / 9 × C, and ABC is not equal to zero
5. It is known that a multiplied by 6 / 7 equals B multiplied by 6 / 5 equals C, where ABC is a natural number and cannot be zero
6. ABC is a natural number that is not zero. If 2 / 5 times a equals B and 1 / 7 equals C, then () is the largest
7. A multiplied by 6 / 7 = B multiplied by 6 / 5 = C multiplied by 1, where ABC is a natural number, and none of them is zero. Let's arrange the three numbers ABC from small to large I know the answer is a is less than C is less than B, but I don't know why,
8. ABC is a non-zero natural number, and a multiplied by 5 / 4 equals B multiplied by 3 / 4 equals C multiplied by 3 / 2, then the three numbers of ABC are arranged as ()
9. The product of two numbers is 70. One factor is expanded by 100 times, and the other factor is reduced by 10 times______ ．
10. It is known that a and B are equal to 280. If a expands three times and B remains unchanged, then the product is (). If B shrinks five times and a remains unchanged, then the product is (). If a expands five times and B also expands five times, then the product is ()
11. 5 and 4 / 9 equals
12. 2 / 9 of a number is exactly equal to 2 / 5 of 20. What's the number
13. How much is 9 △ 5 and 1 / 4
14. How many centimeters is 20 meters
15. How many square centimeters is 9 / 20 square meters? It's wrong, isn't it How many square decimeters is 9 out of 20 square meters?
16. Solve the following equation a (x-1) = 2 (x + 1) (a is not equal to 0) the square of 1 / 2 (BX) = 0 (B is greater than 0)
17. If x is not equal to 5 / B, then - bx-5 / A + x = 2 holds, then the square of A-B =?
18. Judge whether a right triangle with a = 5 / 4, B = 3 / 4 and C = 1 is right triangle, and try to explain your reason
19. If 2 / 5 of a is equal to 3 / 4 of B (A and B are not 0), then a: B=（
20. If 1 / 4 of a is equal to 1 / 5 of B, then a must be () B. (a, B are not zero) ① greater than ② less than ③ cannot be determined