Răspuns :
Răspuns:
Explicație pas cu pas:
1,(3) = (13 - 1)/9 = 12/9 = 4/3
1,(7) = (17 - 1)/9 = 16/9
1,3 = 13/10
1,7 = 17/10
0,(4) = 4/9
4/3 + 13/10 = 40/30 + 39/30 = 79/30
16/9 - 17/10 = 160/90 - 153/90 = 7/90
79/30 : 7/90 = 79/30*90/7 = 237/7
237/7 : 4/9 = 237/7 *9/4 = 2133/28
1
[1,(3)+1,3]/[1,(7)-1,7]:0,(4)=
=[(13-1)/9+13/10]/[(17-1)/9-17/10]:4/9=
=(12/9+13/10)/(16/9-17/10):4/9=
=(4/3+13/10)/(16/9-17/10):4/9=
=(40/30+39/30)/(160/90-153/90):4/9=
=79/30/7/90:4/9=
=79/30×90/7:4/9=
=237/7:4/9=
=237/7×9/4=2133/28