4 114 | 2
2057| 11
187 | 11
17 | 17
1 |
[tex]donc \: \: 2114 = 2 \times {11}^{2} \times 17[/tex]
7650 | 2
3825 | 3
1275 | 3
425 | 5
85 | 5
17 | 17
1 |
[tex]donc \: 7650 = 2 \times {3}^{2} \times {5}^{2} \times 17[/tex]
[tex] \frac{4114}{7650} = \frac{17 \times 242}{17 \times 450} = \frac{242}{450} = \frac{242 \div 2}{450 \div 2} = \frac{121}{225} [/tex]
