Odpowiedź:
zad 3
a) 1 8/9 + 2/9 = 1 10/9 = 2 1/9
b) 1 5/8 + 2 1/3 = 1 15/24 + 2 8/24 = 3 23/24
c) 1 2/11 - 9/11 = 13/11 - 9/11 = 4/11
d) 7 7/15 - 2 1/3 = 7 7/15 - 2 5/15 = 5 2/15
zad 4
a) 15 * 2 3/5 = 15 * 13/5 =3 * 13 = 39
b) 3 3/5 * 1 2/3 = 18/5 * 5/3 = 6 * 1 = 6
c) 2 2/7 : 12 = 16/7 * 1/12 = 16/84 = 4/21
d) 5 2/5 : 4 1/2 = 27/5 : 9/2 = 27/5 * 2/9 = 3/5 * 2 = 6/5 = 1 1/5
zad 5
a) (3/7)² = 3/7 * 3/7 = 9/49
b) ( 1 5/6)² = (11/6)² = 11/6 * 11/6 = 121/36 = 3 13/36
c) (2/5)³ = 2/5 * 2/5 * 2/5 = 8/125
d) (( 1 1/3)³ = (4/3)³ = 4/3 * 4/3 * 4/3 = 64/27 = 2 10/27
Szczegółowe wyjaśnienie:
* - znaczy mnożenie
/ - kreska ułamkowa
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Odpowiedź:
zad 3
a) 1 8/9 + 2/9 = 1 10/9 = 2 1/9
b) 1 5/8 + 2 1/3 = 1 15/24 + 2 8/24 = 3 23/24
c) 1 2/11 - 9/11 = 13/11 - 9/11 = 4/11
d) 7 7/15 - 2 1/3 = 7 7/15 - 2 5/15 = 5 2/15
zad 4
a) 15 * 2 3/5 = 15 * 13/5 =3 * 13 = 39
b) 3 3/5 * 1 2/3 = 18/5 * 5/3 = 6 * 1 = 6
c) 2 2/7 : 12 = 16/7 * 1/12 = 16/84 = 4/21
d) 5 2/5 : 4 1/2 = 27/5 : 9/2 = 27/5 * 2/9 = 3/5 * 2 = 6/5 = 1 1/5
zad 5
a) (3/7)² = 3/7 * 3/7 = 9/49
b) ( 1 5/6)² = (11/6)² = 11/6 * 11/6 = 121/36 = 3 13/36
c) (2/5)³ = 2/5 * 2/5 * 2/5 = 8/125
d) (( 1 1/3)³ = (4/3)³ = 4/3 * 4/3 * 4/3 = 64/27 = 2 10/27
Szczegółowe wyjaśnienie:
* - znaczy mnożenie
/ - kreska ułamkowa