Пошаговое объяснение:
а)
1) 9/16 * (4/5)² = 9/16 * 16/25 = 9/25
2) 9/25 - (2/3)³ = 9/25 - 8/27 = 243/675 - 200/675 = 43/675
б)
1) 1/3 + 1/5 = 5/15 + 3/15 = 8/15
2) 8/15 * 1 7/8 = 8/15 * 15/8 = 1
в)
1) 3 1/4 - 2 1/3 = 3 3/12 - 2 4/12 = 2 15/12 - 2 4/12 = 11/12
2) 11/12 * 1 1/11 = 11/12 * 12/11 = 1
г)
1) 1 2/7 : 4 2/7 = 9/7 : 30/7 = 9/7 * 7/30 = 3/1 * 1/10 = 3/10
2) 3/10 - 14/51 = 153/510 - 140/510 = 13/510
д)
1) 5 - 2 1/9 = 4 9/9 - 2 1/9 = 2 8/9
2) 2 8/9 : 3 4/16 = 26/9 : 52/16 = 26/9 * 16/52 = 1/9 * 16/2 = 16/18 = 8/9
е)
1) 3 3/5 * 2 1/12 = 18/5 * 25/12 = 3/1 * 5/2 = 15/2 = 7 1/2
2) 12 - 7 1/2 = 11 2/2 - 7 1/2 = 4 1/2
3) 4 1/2 : 3 3/8 = 9/2 : 27/8 = 9/2 * 8/27 = 1/1 * 4/3 = 4/3 = 1 1/3
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Answers & Comments
Пошаговое объяснение:
а)
1) 9/16 * (4/5)² = 9/16 * 16/25 = 9/25
2) 9/25 - (2/3)³ = 9/25 - 8/27 = 243/675 - 200/675 = 43/675
б)
1) 1/3 + 1/5 = 5/15 + 3/15 = 8/15
2) 8/15 * 1 7/8 = 8/15 * 15/8 = 1
в)
1) 3 1/4 - 2 1/3 = 3 3/12 - 2 4/12 = 2 15/12 - 2 4/12 = 11/12
2) 11/12 * 1 1/11 = 11/12 * 12/11 = 1
г)
1) 1 2/7 : 4 2/7 = 9/7 : 30/7 = 9/7 * 7/30 = 3/1 * 1/10 = 3/10
2) 3/10 - 14/51 = 153/510 - 140/510 = 13/510
д)
1) 5 - 2 1/9 = 4 9/9 - 2 1/9 = 2 8/9
2) 2 8/9 : 3 4/16 = 26/9 : 52/16 = 26/9 * 16/52 = 1/9 * 16/2 = 16/18 = 8/9
е)
1) 3 3/5 * 2 1/12 = 18/5 * 25/12 = 3/1 * 5/2 = 15/2 = 7 1/2
2) 12 - 7 1/2 = 11 2/2 - 7 1/2 = 4 1/2
3) 4 1/2 : 3 3/8 = 9/2 : 27/8 = 9/2 * 8/27 = 1/1 * 4/3 = 4/3 = 1 1/3