Odpowiedź:
b) 5 i 3/4 - 3/4 *( 4 i 2/5 - 34/10) - 2 i 3/8 + (3 i 1/4 - 1 i 2/3)=
=5 i 3/4 - 3/4 *( 4 i 4/10- 3 i 4/10) - 2 i 3/8 +( 3 i 3/12- 1 i 8/12)=
= 5 i 3/4 -3/4 *1 - 2 i 3/8 + ( 2 i 2/15-1 i 8/12)=5 i 3/4 - 3/4 -2 i 3/8+ 1 i 7/12=
=5 i 18/24 - 18/24 -2 i 9/24 +1 i 14/24= 5-2 i 9/24 +1 i 14/24=
=4 i 24/24- 2 i 9/24+1 i 14/24= 2 i 15/24+ 1 i 14/24= 3 i 29/24= 4 i 5/24
c) 12 i 1/5 -( 3 i 5/6 +2 i 1/2) + (4 i 3/10 -1 i 2/3)=
= 12 i 1/5 - ( 3 i 5/6 + 2 i 3/6) +( 4 i 9/30- 1 i 20/30)=
= 12 i 1/5 - 5 i 8/6 + ( 3 i 39/30-1 i 20/30)= 12 i 1/5- 6 i 2/6 + 2 i 19/30=
= 12 i 1/5 -6 i 1/3 + 2 i 19/30= 12 i 6/30- 6 i 10/30 +2 i 19/30=
= 11 i 36/30- 6 i 10/30+ 2 i 19/30= 5 i 26/30+ 2 i 19/30=
= 7 i 45/30= 8 i 15/30= 8 i 1/2
d) 2 i 5/8 +6 -( 3 i 1/3 -1 i 3/4) + (7 - 3 i 7/12)=
= 2 i 5/8 + 6- ( 3 i 4/12- 1 i 9/12) + ( 6 i 12/12- 3 i 7/12)=
= 2 i 5/8 + 6- ( 2 i 16/12- 1 i 9/12) + 3 i 5/12= 2 i 5/8 +6- 1 i 7/12+ 3 i 5/12=
= 8 i 5/8- 1 i 7/12+ 3 i 5/12= 8 i 15/24-1 i 14/24 + 3 i 10/24=
=7 i 1/24 +3 i 10/24= 10 i 11/24
Szczegółowe wyjaśnienie:
