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nydus/Elements of arithmeticPublic
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APPENDIX VIII. ON THE REDUCTION OF FRACTIONS TO OTHERS OF NEARLY EQUAL VALUE.

129does not err by1;
7070 × 169
consequently,99or100 - 1is,
7070

considering the ease of the operation, a fair approximation. In fact, ⁹⁹/₇₀ is 1·4142857 ... the truth being 1·4142135 ...

The following is an additional example:

19= 4 + ...
42 3 3 2 4 4 2
13 5 2 5 3 1 3
42 1 3 1 2 8 2 1 3 1 2, &c.
114514, &c.
23111439
226