Question

Zad 1 OBLiCZ

1) 3:9/10+1/5:2/5+1i1/3:5i1/3+5:1i1/3=

2) 2:3/5+2/6:2+1i1/2:6+6:1i1/2=

3) 5i1/2:(1i1/2-2/5)+(1/6+3/4):19/24=

4) 5/7*2i1/3*5/6-1):(1-7/8*1i3/5*3/14)=

Answer 1

1) 3:9/10+1/5:2/5+1i1/3:5i1/3+5:1i1/3= 30/9 + 1/2 + 1/4 + 15/4 = 120/36+18/36+9/36+135/36 = 282/36 = 7 30/36 = 7 5/6

2) 2:3/5+2/6:2+1i1/2:6+6:1i1/2=10/3+1/6+1/4+4 = 40/12+2/12+3/12+4= 7 3/4

3) 5i1/2:(1i1/2-2/5)+(1/6+3/4):19/24= 11/2 : (15/10-4/10) + (2/12+9/12):19/24 = 11/2 * 10/11 + 11/12*24/19 = 10/2 + 22/19 = 5 + 1 3/19 = 6 3/19

4) (5/7*2i1/3*5/6-1):(1-7/8*1i3/5*3/14)=(5/7*7/3*5/6-1):(1-7/8*8/5*3/14)= (25/18-1):(1-21/70) = 7/18 * 70/49 = 1/9*35/7 = 35/63 = 5/9

 

proszę

Answer 2

1.3:9/10+1/5:2/5+1i1/3:5i1/3+5:1i1/3=10/3+1/5:2/5+1i1/3:5i1/3+5:1i1/3=10/3+1/2+1i1/3:5i1/3+5:1i1/3=

=23/6+1i1/3:5i1/3+5:1i1/3=23/6+4/3:5i1/3+5:1i1/3=23/6+4/3:16/3+5:1i1/3=23/6+1/4+5:1i1/3=

=49/12+5:1i1/3=49/12+5:4/3=49/12+15/4=47/6

 

2.2:3/5+2/6:2+1i1/2:6+6:1i1/2=10/3+2/6:2+1i1/2:6+6:1i1/2=10/3+1/3:2+1i1/2:6+6:1i1/2=

=10/3+1/6+1i1/2:6+6:1i1/2=7/2+1i1/2:6+6:1i1/2=7/2+3/2:6+6:1i1/2=7/2+1/4+6:1i1/2=

=15/4+6:1i1/2=15/4+6:3/2=15/4+4=31/4

 

3.5i1/2:(1i1/2-2/5)+(1/6+3/4):19/24=11/2:(1i1/2-2/5)+(1/6+3/4):19/24=

=11/2:(3/2-2/5)+(1/6+3/4):19/24=11/2:11/10+(1/6+3/4):19/24=5+(1/6+3/4):19/24=

=5+11/12:19/24=5+22/19=117/19

 

4.(5/7*2i1/3*5/6-1):(1-7/8*1i3/5*3/14)=(5/7*7/3*5/6-1):(1-7/8*1i3/5*3/14)=

=(5/3*5/6-1):(1-7/8*1i3/5*3/14)=(25/18-1):(1-7/8*1i3/5*3/14)=7/18:(1-7/8*1i3/5*3/14)=

=7/18:(1-7/8*8/5*3/14)=7/18:(1-7/5*3/14)=7/18:(1-3/10)=7/18:7/10=5/9