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шкатулка2
@шкатулка2
July 2022
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найдите значение выражения: 1) 4 целых 1/5:7/15:1/3 2) 4 целых 1/5:( 7/15:1/3) 3)(5целых8/9:1целая17/36+1цела1/4):4целых1/5. 4)(2целых1/4+4целых5/6):3целых2/5-3/4:3/5
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magicmasha
1) 4 1/5:7/15:1/3= 21/5*15/7*3/1 (21:7=3, 15:5=3)= 3*3*3=27;
2) 4 1/5:(7/15:1/3)= 21/5:(7/15*3/1)= 21/5:7/5= 21/5*5/7= 21/7= 3;
3) (5 8/9:1 17/36+1 1/4):4 1/5= (53/9:53/36+5/4):21/5= (53/9*36/53+5/4):21/5= (4+5/4)*5/21= (16/4+5/4)*5/21= 21/4*5/21= 5/4= 1 1/4;
4) (2 1/4+4 5/6):3 2/5-3/4:3/5= (9/4+29/6):17/5-3/4*5/3= ((9*3+29*2)/12)*5/17-5/4= ((27+58)/12)*5/17-5/4= 85/12*5/17-5/4= 17*5/12*5/17-5/4= 25/12-5/4= (25-15)/12= 10/12= 5/6.
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шкатулка2
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Answers & Comments
2) 4 1/5:(7/15:1/3)= 21/5:(7/15*3/1)= 21/5:7/5= 21/5*5/7= 21/7= 3;
3) (5 8/9:1 17/36+1 1/4):4 1/5= (53/9:53/36+5/4):21/5= (53/9*36/53+5/4):21/5= (4+5/4)*5/21= (16/4+5/4)*5/21= 21/4*5/21= 5/4= 1 1/4;
4) (2 1/4+4 5/6):3 2/5-3/4:3/5= (9/4+29/6):17/5-3/4*5/3= ((9*3+29*2)/12)*5/17-5/4= ((27+58)/12)*5/17-5/4= 85/12*5/17-5/4= 17*5/12*5/17-5/4= 25/12-5/4= (25-15)/12= 10/12= 5/6.