Пошаговое объяснение:
1) ( 3 1/5 - 1 2/3 ) · 15 = 23
1) 3 1³/5 - 1 2⁵/3 = НОД(Наибольший общий делитель) равен 15 = 3 3/15 - 1 10/15 = 2 18/15 - 1 10/15 = 1 8/15
2) 1 8/15 · 15 = 23/15 · 15 = 23·15/15 = 23/1 = 23
2) ( 2 3/7 + 1 1/2 ) : 5/7 = 5 1/2
1) 2 3²/7 + 1 1⁷/2 = НОД равен 14 = 2 6/14 + 1 7/14 = 3 13/14
2) 3 13/14 : 5/7 = 55/14 · 7/5 = 55·7/14·5 = 11/2 = 5 1/2
3) ( 5 2/5 + 9 1/6 ) : 9 32/45 = 1,5
1) 5 2⁶/5 + 9 1⁵/6 = НОД равен 30 = 5 12/30 + 9 5/30 = 14 17/30
2) 14 17/30 : 9 32/45 = 437/30 · 45/437 = 437·45/30·437 = 1,5
4) ( 10 - 2 2/3 ) : 4 8/9 = 1 1/2
1) 10 - 2 2/3 = 9 3/3 - 2 2/3 = 7 1/3
2) 7 1/3 : 4 8/9 = 22/3 · 9/44 = 22·9/3·44 = 3/2 = 1 1/2
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Answers & Comments
Пошаговое объяснение:
1) ( 3 1/5 - 1 2/3 ) · 15 = 23
1) 3 1³/5 - 1 2⁵/3 = НОД(Наибольший общий делитель) равен 15 = 3 3/15 - 1 10/15 = 2 18/15 - 1 10/15 = 1 8/15
2) 1 8/15 · 15 = 23/15 · 15 = 23·15/15 = 23/1 = 23
2) ( 2 3/7 + 1 1/2 ) : 5/7 = 5 1/2
1) 2 3²/7 + 1 1⁷/2 = НОД равен 14 = 2 6/14 + 1 7/14 = 3 13/14
2) 3 13/14 : 5/7 = 55/14 · 7/5 = 55·7/14·5 = 11/2 = 5 1/2
3) ( 5 2/5 + 9 1/6 ) : 9 32/45 = 1,5
1) 5 2⁶/5 + 9 1⁵/6 = НОД равен 30 = 5 12/30 + 9 5/30 = 14 17/30
2) 14 17/30 : 9 32/45 = 437/30 · 45/437 = 437·45/30·437 = 1,5
4) ( 10 - 2 2/3 ) : 4 8/9 = 1 1/2
1) 10 - 2 2/3 = 9 3/3 - 2 2/3 = 7 1/3
2) 7 1/3 : 4 8/9 = 22/3 · 9/44 = 22·9/3·44 = 3/2 = 1 1/2