Odpowiedź:
a) 1/9 b)11/24 c)21/40 d) 2 i 11/36 e) 3 i 10/21 f) 21 i 17/24
ROZPISANIE
A) 2/3 = (2*3)/(3*3) = 6/9
5/9 = (5*1)/(9*1) = 5/9
2/3 - 5/9 = 6/9 - 5/9
6/9 - 5/9 = (6-5)/9
(6-5)/9 = 1/9
B)5/6 = (5*4)/(6*4) = 20/24
3/8 = (3*3)/(8*3) = 9/24
5/6 - 3/8 = 20/24 - 9/24
20/24 - 9/24 = (20-9)/24
(20-9)/24 = 11/24
C) 1 1/8 = (9*5)/(8*5) = 45/40
3/5 = (3*8)/(5*8) = 24/40
1 1/8 - 3/5 = 45/40 - 24/40
45/40 - 24/40 = (45-24)/40
(45-24)/40 = 21/40
D)3 2/9 = (29*4)/(9*4) = 116/36
11/12 = (11*3)/(12*3) = 33/36
3 2/9 - 11/12 = 116/36 - 33/36
116/36 - 33/36 = (116-33)/36
(116-33)/36 = 83/36
83/36 = 2 11/36
E) 6 1/7 = (43*3)/(7*3) = 129/21
2 2/3 = (8*7)/(3*7) = 56/21
6 1/7 - 2 2/3 = 129/21 - 56/21
129/21 - 56/21 = (129-56)/21
(129-56)/21 = 73/21
73/21 = 3 10/21
F)4 1/12 = (49*2)/(12*2) = 98/24
1 3/8 = (11*3)/(8*3) = 33/24
4 1/12 - 1 3/8 = 98/24 - 33/24
98/24 - 33/24 = (98-33)/24
(98-33)/24 = 65/24
65/24 = 2 17/24
Szczegółowe wyjaśnienie:
/-kreska ułamkowa
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Odpowiedź:
a) 1/9 b)11/24 c)21/40 d) 2 i 11/36 e) 3 i 10/21 f) 21 i 17/24
ROZPISANIE
A) 2/3 = (2*3)/(3*3) = 6/9
5/9 = (5*1)/(9*1) = 5/9
2/3 - 5/9 = 6/9 - 5/9
6/9 - 5/9 = (6-5)/9
(6-5)/9 = 1/9
B)5/6 = (5*4)/(6*4) = 20/24
3/8 = (3*3)/(8*3) = 9/24
5/6 - 3/8 = 20/24 - 9/24
20/24 - 9/24 = (20-9)/24
(20-9)/24 = 11/24
C) 1 1/8 = (9*5)/(8*5) = 45/40
3/5 = (3*8)/(5*8) = 24/40
1 1/8 - 3/5 = 45/40 - 24/40
45/40 - 24/40 = (45-24)/40
(45-24)/40 = 21/40
D)3 2/9 = (29*4)/(9*4) = 116/36
11/12 = (11*3)/(12*3) = 33/36
3 2/9 - 11/12 = 116/36 - 33/36
116/36 - 33/36 = (116-33)/36
(116-33)/36 = 83/36
83/36 = 2 11/36
E) 6 1/7 = (43*3)/(7*3) = 129/21
2 2/3 = (8*7)/(3*7) = 56/21
6 1/7 - 2 2/3 = 129/21 - 56/21
129/21 - 56/21 = (129-56)/21
(129-56)/21 = 73/21
73/21 = 3 10/21
F)4 1/12 = (49*2)/(12*2) = 98/24
1 3/8 = (11*3)/(8*3) = 33/24
4 1/12 - 1 3/8 = 98/24 - 33/24
98/24 - 33/24 = (98-33)/24
(98-33)/24 = 65/24
65/24 = 2 17/24
Szczegółowe wyjaśnienie:
/-kreska ułamkowa