======== #1 ========

3/4r .. numer=3 denom=4
-3/4r .. numer=-3 denom=4
-3/4r .. numer=-3 denom=4
3/4r .. numer=3 denom=4
rational(3, 12).reduce() .. 1/4r
rational(-3, 12).reduce() .. -1/4r

======== #2 ========

4 / 7r + 3 / 10r .. 61/70r
3 / 5r + 3 / 10r .. 9/10r
2 / 3r - 3 / 5r .. 1/15r
6 / 7r - 1 / 3r .. 11/21r

======== #3 ========

rational(4, 7) + rational(3, 10) .. 61/70r
rational(3, 5) + rational(3, 10) .. 9/10r
rational(4, 7) + rational(2, 5) .. 34/35r
rational(1, 2) + rational(3, 7) .. 13/14r
rational(2, 7) + rational(3, 5) .. 31/35r
rational(2, 5) + rational(5, 9) .. 43/45r
rational(2, 5) + rational(3, 7) .. 29/35r
rational(3, 10) + rational(3, 5) .. 9/10r
rational(2, 3) + rational(3, 10) .. 29/30r
rational(3, 4) + rational(1, 5) .. 19/20r
rational(2, 3) - rational(3, 5) .. 1/15r
rational(6, 7) - rational(1, 3) .. 11/21r
rational(6, 7) - rational(1, 3) .. 11/21r
rational(8, 9) - rational(5, 6) .. 1/18r
rational(1, 2) - rational(1, 4) .. 1/4r
rational(2, 7) - rational(1, 5) .. 3/35r
rational(1, 2) - rational(1, 3) .. 1/6r
rational(1, 3) - rational(1, 5) .. 2/15r
rational(2, 9) - rational(1, 5) .. 1/45r
rational(3, 8) - rational(1, 5) .. 7/40r
rational(1, 4) - rational(1, 5) .. 1/20r
rational(1, 2) + rational(1, 3) .. 5/6r
rational(3, 10) - rational(3, 10) .. 0
rational(2, 9) - rational(1, 5) .. 1/45r
rational(5, 6) - rational(2, 7) .. 23/42r
rational(1, 2) - rational(4, 9) .. 1/18r
rational(2, 5) - rational(2, 5) .. 0
rational(3, 5) - rational(3, 5) .. 0
rational(2, 3) - rational(5, 8) .. 1/24r
rational(1, 2) - rational(1, 4) .. 1/4r
rational(2, 3) * rational(1, 2) .. 1/3r
rational(1, 2) * 3 .. 3/2r
rational(10, 13) * rational(10, 3) .. 100/39r
rational(13, 8) * rational(10, 3) .. 65/12r
rational(5, 9) * rational(9, 2) .. 5/2r
2 * rational(11, 7) .. 22/7r
4 * rational(11, 14) .. 22/7r
rational(3, 7) / rational(3, 4) .. 4/7r
rational(5, 2) / rational(5, 7) .. 7/2r
5 / rational(14, 9) .. 45/14r
rational(6, 11) / rational(1, 4) .. 24/11r
rational(12, 5) / rational(15, 7) .. 28/25r
rational(4, 3) / rational(3, 2) .. 8/9r
rational(13, 7) / 2 .. 13/14r
