Пошаговое объяснение:
Б)
0,(5) = (5 - 0)/9 = 5/9
0,(2) = (2 - 0)/9 = 2/9
1) 0,(5) * 0,(2) = 5/9 * 2/9 = 10/81
2) 3 1/3 : 33/25 = 10/3 * 25/33 = 250/99
3) 10/81 : 250/99 = 10/81 * 99/250 = 1/9 * 11/25 = 11/225
4) 2/5 * 1 1/3 = 2/5 * 4/3 = 8/15
5) 8/15 : 4/3 = 8/15 * 3/4 = 2/5 * 1/1 = 2/5
6) 11/225 - 2/5 = 11/225 - 90/225 = -79/225
Г)
2,(4) = 2 (4-0)/9 = 2 4/9
1) 2,(4) * 2 5/11 = 2 4/9 * 2 5/11 = 22/9 * 27/11 = 2/1 * 3/1 = 6/1 = 6
2) 6 : (-42/5) = 6 * (-5/42) = 1 * (-5/7) = -5/7
3) 3 1/2 * 4/49 = 7/2 * 4/49 = 1/1 * 2/7 = 2/7
4) 2/7 - (-5/7) = 2/7 + 5/7 = 7/7 = 1
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Verified answer
Пошаговое объяснение:
Б)
0,(5) = (5 - 0)/9 = 5/9
0,(2) = (2 - 0)/9 = 2/9
1) 0,(5) * 0,(2) = 5/9 * 2/9 = 10/81
2) 3 1/3 : 33/25 = 10/3 * 25/33 = 250/99
3) 10/81 : 250/99 = 10/81 * 99/250 = 1/9 * 11/25 = 11/225
4) 2/5 * 1 1/3 = 2/5 * 4/3 = 8/15
5) 8/15 : 4/3 = 8/15 * 3/4 = 2/5 * 1/1 = 2/5
6) 11/225 - 2/5 = 11/225 - 90/225 = -79/225
Г)
2,(4) = 2 (4-0)/9 = 2 4/9
1) 2,(4) * 2 5/11 = 2 4/9 * 2 5/11 = 22/9 * 27/11 = 2/1 * 3/1 = 6/1 = 6
2) 6 : (-42/5) = 6 * (-5/42) = 1 * (-5/7) = -5/7
3) 3 1/2 * 4/49 = 7/2 * 4/49 = 1/1 * 2/7 = 2/7
4) 2/7 - (-5/7) = 2/7 + 5/7 = 7/7 = 1