Odpowiedź:
Szczegółowe wyjaśnienie:
11.
a)
1 1/3 * 9/11 = 4/3 * 9/11 = 36/33 = 1 3/33 = 1 1/11
4 3/14 * 7 = 59/14 * 7/1 = 413/14 = 59/2 = 29 1/2
b)
15 * 3 1/5 = 15 * 16/5 = 240/5 = 48
3 2/3 * 1 1/5 = 11/3 * 6/5 = 66/15 = 4 6/15 = 4 2/5
12.
5/7 : 3 = 5/7 * 1/3 = 5/21
6 : 2 1/5 = 6 : 11/5 = 6 * 5/11 = 30/11 = 2 8/11
7 1/6 : 9 = 43/6 * 1/9 = 43/54
2/3 : 3/5 = 2/3 * 5/3 = 10/9 = 1 1/9
3 3/7 : 5/8 = 24/7 * 8/5 = 192/35 = 5 17/35
1 3/4 : 1 3/5 = 7/4 : 8/5 = 7/4 * 5/8 = 35/32 = 1 3/32
13.
(2/5) / (4/15) = 2/5 : 4/15 = 2/5 * 15/4 = 30/20 = 3/2 = 1 1/2
3 / (1/5) = 3 : 1/5 = 3 * 5 = 15
c)
(3/4) / 5 = 3/4 : 5 = 3/4 * 1/5 = 3/20
14.
2/7 masy 14 kg to 2/7 * 14 kg = 28/7 kg = 4 kg
3/5 kwoty 60 zł to 3/5 * 60 zł = 180/5 zł = 36 zł
3/5 objętości 30 litrów to 3/5 * 30 litrów = 90/5 litrów = 18 litrów
15.
3/7 liczby 28 = 3/7 * 28 = 84/7 = 12
1/3 liczby 3 3/4 = 1/3 * 3 3/4 = 1/3 * 15/4 = 15/12 = 1 3/12 = 1 1/4
1 1/7 liczby 2 1/4 = 1/7 * 2 1/4 = 1/7 * 9/4 = 9/28
16.
1 3/4 * 1 1/7 - 3 : 4 1/2 = 7/4 * 8/7 - 3 : 9/2 = 56/28 - 3 * 2/9 = 2 - 6/9 = 2 - 2/3 = 1 1/3
1 5/7 * (2 3/4 - 1 2/3 : 4) = 12/7 * (2 3/4 - 5/3 * 1/4) = 12/7 * (2 9/12 - 5/12) = 12/7 * 2 4/12 = 12/7 * 2 1/3 = 12/7 * 7/3 = 84/21 = 4
3 1/3 * (2 1/4 - 1 1/2 : 5) = 10/3 * (2 1/4 - 3/2 * 1/5) = 10/3 * (2 1/4 - 3/10) = 10/3 * (2 5/20 - 6/20) = 10/3 * 1 19/20 = 10/3 * 39/20 = 390/60 = 6 30/60 = 6 1/2
(3 1/4 + 1/2) / [3 1/3 * (1 5/6 - 1 1/12)] = (3 1/4 + 2/4) : [3 1/3 * (1 10/12 - 1 1/12)] = 3 3/4 : (10/3 * 9/12) = 15/4 : 90/36 = 15/4 * 5/2 = 75/8 = 9 3/8
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Verified answer
Odpowiedź:
Szczegółowe wyjaśnienie:
11.
a)
1 1/3 * 9/11 = 4/3 * 9/11 = 36/33 = 1 3/33 = 1 1/11
4 3/14 * 7 = 59/14 * 7/1 = 413/14 = 59/2 = 29 1/2
b)
15 * 3 1/5 = 15 * 16/5 = 240/5 = 48
3 2/3 * 1 1/5 = 11/3 * 6/5 = 66/15 = 4 6/15 = 4 2/5
12.
a)
5/7 : 3 = 5/7 * 1/3 = 5/21
6 : 2 1/5 = 6 : 11/5 = 6 * 5/11 = 30/11 = 2 8/11
7 1/6 : 9 = 43/6 * 1/9 = 43/54
b)
2/3 : 3/5 = 2/3 * 5/3 = 10/9 = 1 1/9
3 3/7 : 5/8 = 24/7 * 8/5 = 192/35 = 5 17/35
1 3/4 : 1 3/5 = 7/4 : 8/5 = 7/4 * 5/8 = 35/32 = 1 3/32
13.
a)
(2/5) / (4/15) = 2/5 : 4/15 = 2/5 * 15/4 = 30/20 = 3/2 = 1 1/2
b)
3 / (1/5) = 3 : 1/5 = 3 * 5 = 15
c)
(3/4) / 5 = 3/4 : 5 = 3/4 * 1/5 = 3/20
14.
a)
2/7 masy 14 kg to 2/7 * 14 kg = 28/7 kg = 4 kg
b)
3/5 kwoty 60 zł to 3/5 * 60 zł = 180/5 zł = 36 zł
c)
3/5 objętości 30 litrów to 3/5 * 30 litrów = 90/5 litrów = 18 litrów
15.
a)
3/7 liczby 28 = 3/7 * 28 = 84/7 = 12
b)
1/3 liczby 3 3/4 = 1/3 * 3 3/4 = 1/3 * 15/4 = 15/12 = 1 3/12 = 1 1/4
c)
1 1/7 liczby 2 1/4 = 1/7 * 2 1/4 = 1/7 * 9/4 = 9/28
16.
1 3/4 * 1 1/7 - 3 : 4 1/2 = 7/4 * 8/7 - 3 : 9/2 = 56/28 - 3 * 2/9 = 2 - 6/9 = 2 - 2/3 = 1 1/3
1 5/7 * (2 3/4 - 1 2/3 : 4) = 12/7 * (2 3/4 - 5/3 * 1/4) = 12/7 * (2 9/12 - 5/12) = 12/7 * 2 4/12 = 12/7 * 2 1/3 = 12/7 * 7/3 = 84/21 = 4
3 1/3 * (2 1/4 - 1 1/2 : 5) = 10/3 * (2 1/4 - 3/2 * 1/5) = 10/3 * (2 1/4 - 3/10) = 10/3 * (2 5/20 - 6/20) = 10/3 * 1 19/20 = 10/3 * 39/20 = 390/60 = 6 30/60 = 6 1/2
(3 1/4 + 1/2) / [3 1/3 * (1 5/6 - 1 1/12)] = (3 1/4 + 2/4) : [3 1/3 * (1 10/12 - 1 1/12)] = 3 3/4 : (10/3 * 9/12) = 15/4 : 90/36 = 15/4 * 5/2 = 75/8 = 9 3/8