Решите. 1) (2/7 +5/21): 1 4/7 2) (8/11+3/22): 5/11 3) 1 7/12: (3/8+5/12) 4) 17/36: (7/12-5/9) 5) (3/14+5/7): 3 5/7 6) 19/24: (3/16+5/24)
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Ответы на вопрос:
1) (2/7 +5/21): 1 4/7= ( (2•3)/(7•3)+ 5/21) : (1•7+4)/7= (6/21+ 5/21): 11/7= 11/21• 7/11= сокращаем 11 и 11 на 11; 21 и 7 на 7; 1/3• 1/1= 1/3. 2) (8/11+3/22): 5/11= ( (8•2)/(11•2) + 3/22))• 11/5= (16/22+ 3/22)• 11/5= 19/22• 11/5= сокращаем 22 и 11 на 11 19/2• 1/5= 19/10= 1 9/10= 1,9. 3) 1 7/12: (3/8+5/12)= (1•12+7)/12 : ( (3•3)/(8•3)+ (5•2)/(12•2)= 19/12: (9/24+ 10/24)= 19/12: 19/24= 19/12• 24/19= сокращаем 19 и 19 на 19; 12 и 24 на 24; 1/1• 2/1= 2. 4) 17/36: (7/12-5/9)= 17/36: ( (7•3)/(12•3) - (5•4)/(9•4))= 17/36: (21/36- 20/36)= 17/36: 1/36= 17/36• 36/1= сокращаем 36 и 36 на 36 17/1• 1/1= 17. 5) (3/14+5/7): 3 5/7= (3/14+ (5•2)/(7•2)) : (3•7+5)/7= (3/14+ 10/14): 26/7= 13/14• 7/26= сокращаем 13 и 26 на 13; 14 и 7 на 7; 1/2• 1/2= 1/4. 6) 19/24: (3/16+5/24)= 19/24: ( (3•3)/(16•3) + (5•2)/(24•2))= 19/24: (9/48+ 10/48)= 19/24: 19/48= 19/24• 48/19= сокращаем 19 и 19 на 19; 24 и 48 на 24; 1/1• 2/1= 2.
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