Răspuns:
Explicație pas cu pas:
10. Calculați:
a) (17/3:21/4):34/7
b) (36/13:4):(5/26:7/36)
c) (3 1/2:2 1/3):(6:12/19)
a) (17/3:21/4):34/7=(17/3·4/21):34/7=(17·4/3·21)·7/34=(17·4·7)/(3·21·34)=
(4·7)/(3·21·2)=4/(3·3·2)=2/(3·3)=2/9
b) (36/13:4):(5/26:7/36)=(36/13·1/4):(5/26·36/7)=(36·1)/(13·4):(5·36)/(26·7)=
(9/13):(5·36)/(26·7)=(9/13):(5·18)/(13·7)=(9/13)·(13·7)/(5·18)=(9·13·7)/(13·5·18)=
(13·7)/(13·5·2)=7/(5·2)=7/10
c) (3 1/2:2 1/3):(6:12/19)=[(3·2+1)/2:(2·3+1)/3]:(6·19/12)=(7/2:7/3):19/2=(7/2·3/7)·2/19=[(7·3)/(2·7)]·2/19=3/2·2/19=(3·2)/(2·19)=3/19
