[ (7/8-9/16-13)+ (-5/12+4/27+1)]-[ (9/4+1/3-6)- (1/8-1/9)]     aidez mai svp et merci d'avance

[ (7/8 - 9/16 - 13) + (- 5/12 + 4/27 + 1)] - [(9/4 + 1/3 - 6) - (1/8 - 1/9)]
= ((7 x 2 / 8 x 2 - 9/16 + 13 x 16 / 1 x 16) + (- 5 x 27 / 12 x 27 + 4 x 12 / 27 x 12 + 1 x 324 / 1 x 324)) - ((9 x 3 / 4 x 3 + 1 x 4 / 3 x 4 - 6 x 12 / 1 x 12) - (1 x 9 / 8 x 9 - 1 x 8 / 9 x 8))
= ((14/16 - 9/16 + 208/16)+ (- 135/324 + 48/324 + 324/324)- ((27/12 + 4/12 - 72/12) - (9/72 - 8/72))
= 213/16 + 237/324 - (- 41/12) - 1/72
= 213/16 + 237/324 + 41/12 - 1/72
= 213 x 1458 / 16 x 1458 + 237 x 72 / 324 x 72 + 41 x 1944 / 12 x 1944 - 1 x 324 / 72 x 324
= 310554/23328 + 17064/23328 + 79704/23328 - 324/23328
= 407322/23328 - 324/23328
= 406998/23328
= 2 x 203499 / 2 x 11699
= 203499/11699

((14/16-9/16-208/16)+(135/324+48/324+324/324))-((27/12+4/12-72/12)-(9/72-8//72))=
((-203/16)+(237/324))-((-41/12)-(1/72))=
((-203/16)+(237/324))-((-246/73-1/72))=
((-203/16)+(237/324))-(-247/72)=
((203/16+(237/324))+247/72=
(-65772+3792/5184)+247/72=
(-61980/5184)+17784/5184=
-44196/5184=3683/432