Odpowiedź:
zad.12
a) 36/35 - 5/7 -5/35= 36/35 - 25/35 - 5/35= 11/35- 5/35= 6/35
b) 6 i 3/10 + 3 i 4/5 -3 i 2/5 +3 i 1/2= 6 i 3/10 + 3 i 8/10 -3 i 4/10 +3 i 1/2=
= 9 i 11/10 -3 i 4/10 + 3 i 1/2= 9 i 11/10- 3 i 4/10 +3 i 1/2= 6 i 7/10 + 3 i 5/10=
= 9 i 11/10= 10 i 1/10
c) 10 i 1/6 - ( 12 i 3/4 - 7 i 5/6) -3 i 1/2= 10 i 1/6 - ( 12 i 9/12 - 7 i 10/12) - 3 i 1/2=
= 10 i 1/6 - ( 11 i 21 /12 - 7 i 10/12)- 3 i 1/2= 10 i 2/12 - 4 i 11/12 -3 i 1/2=
= 9 i 14/12 - 4 i 11/12 - 3 i 1/2= 5 i 3/12- 3 i 6/12= 4 i 15/12- 3 i 6/12=
= 1 i 9/12 =1 i 3/4
d) 1 i 3/4 + ( 99 i 7/20 -89 i 2/5) -1 i 1/2= 1 i 3/4 + ( 99 i 7/20- 89 i 8/20)-1 i 1/2=
= 1 i 3/4 + ( 98 i 27/20- 89 i 8/20)-1 i 1/2= 1 i 3/4 + 9 i 19/20 - 1 i 1/2=
= 1 i 15/20 + 9 i 19/20- 1 i 1/2= 10 i 34/20 - 1 i 10/20= 9 i 24/20= 10 i 4/20= 10 i 1/5
zad.13
a) a+ 2 i 5/6 = 5 i 4/9
a= 5 i 4/9- 2 i 5/6= 5 i 8/18- 2 i 15/18= 4 i 26/18- 2 i 15/18= 2 i 11/18
a= 2 i 11/18
b) 4 i 1/3- b= 1 i 5/7
b= 4 i 1/3- 1 i 5/7= 4 i 7/21- 1 i 15/21= 3 i 28/21- 1 i 15/21= 2 i 13/21
b= 2 i 13/21
Szczegółowe wyjaśnienie:
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Odpowiedź:
zad.12
a) 36/35 - 5/7 -5/35= 36/35 - 25/35 - 5/35= 11/35- 5/35= 6/35
b) 6 i 3/10 + 3 i 4/5 -3 i 2/5 +3 i 1/2= 6 i 3/10 + 3 i 8/10 -3 i 4/10 +3 i 1/2=
= 9 i 11/10 -3 i 4/10 + 3 i 1/2= 9 i 11/10- 3 i 4/10 +3 i 1/2= 6 i 7/10 + 3 i 5/10=
= 9 i 11/10= 10 i 1/10
c) 10 i 1/6 - ( 12 i 3/4 - 7 i 5/6) -3 i 1/2= 10 i 1/6 - ( 12 i 9/12 - 7 i 10/12) - 3 i 1/2=
= 10 i 1/6 - ( 11 i 21 /12 - 7 i 10/12)- 3 i 1/2= 10 i 2/12 - 4 i 11/12 -3 i 1/2=
= 9 i 14/12 - 4 i 11/12 - 3 i 1/2= 5 i 3/12- 3 i 6/12= 4 i 15/12- 3 i 6/12=
= 1 i 9/12 =1 i 3/4
d) 1 i 3/4 + ( 99 i 7/20 -89 i 2/5) -1 i 1/2= 1 i 3/4 + ( 99 i 7/20- 89 i 8/20)-1 i 1/2=
= 1 i 3/4 + ( 98 i 27/20- 89 i 8/20)-1 i 1/2= 1 i 3/4 + 9 i 19/20 - 1 i 1/2=
= 1 i 15/20 + 9 i 19/20- 1 i 1/2= 10 i 34/20 - 1 i 10/20= 9 i 24/20= 10 i 4/20= 10 i 1/5
zad.13
a) a+ 2 i 5/6 = 5 i 4/9
a= 5 i 4/9- 2 i 5/6= 5 i 8/18- 2 i 15/18= 4 i 26/18- 2 i 15/18= 2 i 11/18
a= 2 i 11/18
b) 4 i 1/3- b= 1 i 5/7
b= 4 i 1/3- 1 i 5/7= 4 i 7/21- 1 i 15/21= 3 i 28/21- 1 i 15/21= 2 i 13/21
b= 2 i 13/21
Szczegółowe wyjaśnienie: