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6/5 + 2/13 ... 9/8 + 3/13

6/5 = (6 x 8)/(5 x 8) = 48/40

9/8 = (9 x 5)/(8 x 5) = 45/40

= (48 x 13)/(40 x 13) + (2 x 40)/(13 x 40)

= 624/520 + 80/520

= 704/520

= (45 x 13)/(40 x 13) + (3 x 40)/(13 x 40)

= 585/520 + 120/520

= 705/520

704/520 < 705/520

Donc : 6/5 + 2/13 < 9/8 + 3/13

(-13/11) - 5/9 ... (-6/5) - 5/9

-13/11 = (-13 x 5)/(11 x 5) = -65/55

-6/5 = (-6 x 11)/(5 x 11) = -66/55

-65/55 > -66/55

Donc (-13/11) - 5/9 > (-6/5) - 5/9

-19/12 + 4,5 ... -14/6 + 3,5

4,5 = (4,5 x 12)/12 = 54/12

3,5 = (3,5 x 12)/12 = 42/12

-14/6 = (-14 x 2)/(6 x 2) = -28/12

-19/12 + 54/12 = 35/12

-28/12 + 42/12 = 14/12

35/12 > 14/12

Donc : -19/12 + 4,5 > -14/6 + 3,5

(-14,6) + 4/7 ... (-14,3) + 9/7

-14,6 = (-14,6 x 7)/7 = -102,2/7

-14,3 = (-14,3 x 7)/7 = -100,1/7

-102,2/7 + 4/7 = -98,2/7

-100,1/7 + 9/7 = -91,1/7

-98,2/7 < -91,1/7

Donc : (-14,6) + 4/7 < (-14,3) + 9/7