Odpowiedź:
a)
0,7 * 2/7 = 7/10 * 2/7 = 14/70 = 1/5
23/100 * 0,4 = 0,23 * 0,4 = 0,092
0,75 * 3/24 = 3/4 * 3/24 = 9/96 = 3/32
0,07 * 1 2/9 = 7/100 * 11/9 = 77/900
- 0,2 * 19/26 = - 2/10 * 19/26 = - 38/260 = - 19/130
1,25 * (- 4/5) = 1,25 * (- 0,8) = - 1
b)
15,75 : 3/8 = 15,75 : 0,375 = 15750 : 375 = 42
1,25 : 5/4 = 125/100 * 4/5 = 500/500 = 1
0,6 : 1/2 = 0,6 : 0,5 = 6 : 5 = 1,2
- 0,625 : 1 1/4 = - 0,625 : 1,25 = - 62,5 : 125 = - 0,5
2,8 : (- 1 3/5) = 2,8 : (- 1,6) = - 1,75
- 7 1/9 : (-3,2 ) = - 64/9 : (- 32/10) = - 64/9 * (- 10/32) =
= - 2/9 * (- 10/1) = 20/9 = 2 2/9
c)
5/9 * (- 16/21) * 7/25 = 1/9 * (- 16/3) * 1/5 = - 16/135
- 7/9 : (- 14/27) * (- 2/3) = - 7/9 * (- 27/14) * (- 2/3) =
= - 1/1 * (- 3/2) * (- 2/3) = - 6/6 = - 1
5/16 : 15/28 * 3/14 = 5/16 * 28/15 * 3/14 = 1/16 * 2/3 * 3/1 = 6/48 = 1/8
1 5/12 : 1 8/9 * (- 0,5) = 17/12 : 17/9 * (- 5/10) = 17/12 * 9/17 * (- 5/10) =
= 1/4 * 3/1 * (- 5/10) = - 15/40 = - 3/8
5 11/25 * 2,3 : 7 41/50 = 136/25 * 23/10 : 391/50 =
= 136/25 * 23/10 * 50/391 = 136/1 * 1/10 * 2/17 = 272/170 =
= 1 102/170 = 1 51/85
- 2,8 : 1 1/6 * (- 3/4) = - 28/10 : 7/6 * (- 3/4) = - 28/10 * 6/7 * (- 3/4) =
= - 4/5 * 3/1 * (- 3/4) = 36/20 = 1 16/20 = 1 4/5
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Odpowiedź:
a)
0,7 * 2/7 = 7/10 * 2/7 = 14/70 = 1/5
23/100 * 0,4 = 0,23 * 0,4 = 0,092
0,75 * 3/24 = 3/4 * 3/24 = 9/96 = 3/32
0,07 * 1 2/9 = 7/100 * 11/9 = 77/900
- 0,2 * 19/26 = - 2/10 * 19/26 = - 38/260 = - 19/130
1,25 * (- 4/5) = 1,25 * (- 0,8) = - 1
b)
15,75 : 3/8 = 15,75 : 0,375 = 15750 : 375 = 42
1,25 : 5/4 = 125/100 * 4/5 = 500/500 = 1
0,6 : 1/2 = 0,6 : 0,5 = 6 : 5 = 1,2
- 0,625 : 1 1/4 = - 0,625 : 1,25 = - 62,5 : 125 = - 0,5
2,8 : (- 1 3/5) = 2,8 : (- 1,6) = - 1,75
- 7 1/9 : (-3,2 ) = - 64/9 : (- 32/10) = - 64/9 * (- 10/32) =
= - 2/9 * (- 10/1) = 20/9 = 2 2/9
c)
5/9 * (- 16/21) * 7/25 = 1/9 * (- 16/3) * 1/5 = - 16/135
- 7/9 : (- 14/27) * (- 2/3) = - 7/9 * (- 27/14) * (- 2/3) =
= - 1/1 * (- 3/2) * (- 2/3) = - 6/6 = - 1
5/16 : 15/28 * 3/14 = 5/16 * 28/15 * 3/14 = 1/16 * 2/3 * 3/1 = 6/48 = 1/8
1 5/12 : 1 8/9 * (- 0,5) = 17/12 : 17/9 * (- 5/10) = 17/12 * 9/17 * (- 5/10) =
= 1/4 * 3/1 * (- 5/10) = - 15/40 = - 3/8
5 11/25 * 2,3 : 7 41/50 = 136/25 * 23/10 : 391/50 =
= 136/25 * 23/10 * 50/391 = 136/1 * 1/10 * 2/17 = 272/170 =
= 1 102/170 = 1 51/85
- 2,8 : 1 1/6 * (- 3/4) = - 28/10 : 7/6 * (- 3/4) = - 28/10 * 6/7 * (- 3/4) =
= - 4/5 * 3/1 * (- 3/4) = 36/20 = 1 16/20 = 1 4/5
Szczegółowe wyjaśnienie: