21/1+2121/505+212121/90909+21212121/13131313简单算法是什么

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21/1+2121/505+212121/90909+21212121/13131313简单算法是什么

21/1+2121/505+212121/90909+21212121/13131313简单算法是什么
21/1+2121/505+212121/90909+21212121/13131313简单算法是什么

21/1+2121/505+212121/90909+21212121/13131313简单算法是什么
=21/1+21×101/5×101+21×10101/9×10101+21×1010101/13×1010101
=21/1+21/5+21/9+21/13
=21/(1+5+9+13)
=21/28
=3/4

21/1+2121/505+212121/90909+21212121/13131313
=21+﹙21×101﹚/﹙5×101﹚+﹙21×10101﹚/﹙9×10101﹚+﹙21×1010101﹚/﹙13×1010101﹚
=21+21/5+21/9+21/13
=21×﹙1+1/5+1/9+1/13﹚
=21×812/585
=5684/195

=21/1+21×101/5×101+21×10101/9×10101+21×1010101/13×1010101
=21/1+21/5+21/9+21/13
=21/(1+5+9+13)
=21/28
=3/4