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DJNastyhaLPS
@DJNastyhaLPS
June 2022
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Помогите пожалуйста решить: (1/12 - 1/13):(1/13-1/14)*(1/14-1/15):(1/15-1/16)=? (Дроби)
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Gor4itza
Verified answer
(1/12-1/13):(1/13-1/14)*(1/14-1/15):(1/16-1/16)=1 1/3
1)1/12-1/13=13/156-12/156=1/156
2)1/13-1/14=14/182-13/182=1/182
3)1/156:1/182=1/156*182/1=91/78
4)1/14-1/15=15/210-14/210=1/210
5)91/78*1/10=1/180
6)1/15-1/16=16/240-15/240=1/240
7)1/180:1/240=1/180*240/1=4/3=1 1/3
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Answers & Comments
Verified answer
(1/12-1/13):(1/13-1/14)*(1/14-1/15):(1/16-1/16)=1 1/31)1/12-1/13=13/156-12/156=1/156
2)1/13-1/14=14/182-13/182=1/182
3)1/156:1/182=1/156*182/1=91/78
4)1/14-1/15=15/210-14/210=1/210
5)91/78*1/10=1/180
6)1/15-1/16=16/240-15/240=1/240
7)1/180:1/240=1/180*240/1=4/3=1 1/3