Odpowiedź:
a) 1/2 +3/4= 2/4+3/4= 5/4= 1 i 1/4
1/3 + 7/9= 3/9+ 7/9= 10/9= 1 i 1/9
5/6 + 1 i 1/4= 10/12 + 1 i 3/12= 1 i 13/12= 2 i 1/13
b) 1 i 3/5 + 2 i 4/15= 1 i 9/15+ 2 i 4/15= 3 i 13/15
2 i 1/4 + 1 i 2/3= 2 i 3/12 + 1 i 8/12 = 3 i 11/12
1 i 5/6 + 7/9= 1 i 15/18 + 14/18= 1 i 29/18= 2 i 11/18
c) 7/10 + 4/5 + 1/2= 7/10 + 8/10 + 5/10= 20/10= 2
3/4 + 5/7 + 1 i 1/2= 21/28 + 20/28 + 1 i 14/28= 1 i 55/28= 2 i 27/28
7/8 + 1/2 + 2/4= 7/8 + 4/8 + 4/8 = 15/8= 1 i 7/8
d) 2 i 1/6 + 7/10 + 1 i 2/5= 2 i 5/30 + 21/30 + 1 i 12/30= 3 i 47/30= 4 i 17/30
1 i 7/8 + 1/3 + 2 i 5/6= 1 i 21/24+ 8/24+ 2 i 20/24= 3 i 49/24= 5 i 1/24
2 i 7/12 + 1 i 1/15 + 1/2= 2 i 35/60 + 1 i 4/60 +30/60=3 i 69/60= 5 i 9/60=
=5 i 3/20
Szczegółowe wyjaśnienie:
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Odpowiedź:
a) 1/2 +3/4= 2/4+3/4= 5/4= 1 i 1/4
1/3 + 7/9= 3/9+ 7/9= 10/9= 1 i 1/9
5/6 + 1 i 1/4= 10/12 + 1 i 3/12= 1 i 13/12= 2 i 1/13
b) 1 i 3/5 + 2 i 4/15= 1 i 9/15+ 2 i 4/15= 3 i 13/15
2 i 1/4 + 1 i 2/3= 2 i 3/12 + 1 i 8/12 = 3 i 11/12
1 i 5/6 + 7/9= 1 i 15/18 + 14/18= 1 i 29/18= 2 i 11/18
c) 7/10 + 4/5 + 1/2= 7/10 + 8/10 + 5/10= 20/10= 2
3/4 + 5/7 + 1 i 1/2= 21/28 + 20/28 + 1 i 14/28= 1 i 55/28= 2 i 27/28
7/8 + 1/2 + 2/4= 7/8 + 4/8 + 4/8 = 15/8= 1 i 7/8
d) 2 i 1/6 + 7/10 + 1 i 2/5= 2 i 5/30 + 21/30 + 1 i 12/30= 3 i 47/30= 4 i 17/30
1 i 7/8 + 1/3 + 2 i 5/6= 1 i 21/24+ 8/24+ 2 i 20/24= 3 i 49/24= 5 i 1/24
2 i 7/12 + 1 i 1/15 + 1/2= 2 i 35/60 + 1 i 4/60 +30/60=3 i 69/60= 5 i 9/60=
=5 i 3/20
Szczegółowe wyjaśnienie: