My Project

Convert to Latex.
Make the right calculation of episode 1 (how what the mistakes were), by the way Shiro is calculating on an another way then normal people do.
Convert right calculation with arguments and comments.

Math Rules card game formula:

n = unknown value.
, = is based on the Asian System, so 1 million in English 1.000.000 is = Asian system 1,000,000
// is comment
[V] = or
>>> = See next line
2.1, 2.2, 2.3 etc. each group numbers indicate a statement + Proof (why statement isn't correct)

Original calculations:

$C_{52}C_{5} = \frac{52 \times 51 \times 50 \times 49 \times 48}{5 \times 4 \times 3 \times 2 \times 1} = 2,598,960$
$\frac{4 \times 9}{2,58,960} = \frac{9}{649,740} = 0,00001385 = {1.38 \times} 10^{-3}$
$0.001385\%$

Analysed calculations:

1.  $C_{52}C_{5} = \frac{52 \times 51 \times 50 \times 49 \times 48}{5 \times 4 \times 3 \times 2 \times 1} = 2,598,960$

// Correct, but remember it use a comma so it's pronounced as 2.5 million and not 2 millionth, 5 five hundred thousandths etc. (it is like 1 tenth)

2.  $\frac{4 \times 9}{2,58,960} = \frac{9}{649,740} = 0,00001385 = {1.38 \times} 10^{-3}$

// Not correct >>>

2.1:

 $\frac{4 \times 9}{2,58,960} \neq \frac{9}{649,740}$  // Next line Explaining Mathematical Calculation Mathematical rule Operator of 4 (fraction)

 ${\frac {\frac {4\times 9}{4}}{\frac {2,58,960}{4}}}={\frac {9}{\mathbf {64,740} }}$  // Proof 1: fraction 4 not equal to answer

2.2:
 $\frac{4 \times 9 }{649,740 \times 4} \neq \frac{4 \times 9}{2,58,960}$  // Next line Explaining Mathematical Calculation Mathematical rule Operator of 4 (times)

 $\frac{4 \times 9 }{649,740 \times 4} = 25,\mathbf{9}8,960$  // Proof 2: times 4 not equal answer

Conclusion:
1. if we use the fraction method (2.1) we missing a number 9
2. if we use the times method on the answer (2.2) we are missing a number 9
3. So we now know what the secret acceleration calculation of Shiro is:
>>>  ${2,58,960 \times 10} = 25,89,600$  (So this isn't the solution)
>>> The differences:
1. 649740 - 64740 = +585000 (So 585000 + 64740 = 649740 )
2. 2598960 - 258960 = +2340000 (So 2340000 + 258960 = 2598960)