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меллори
@меллори
August 2022
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TigerYa
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А)) {1 17/25 • 2 1/7 -2 4/7 •1 2/5} •2 7/9=0
1)) 1 17/25• 2 1/7= (25•1+17)/25• (7•2+1)/7= 42/25• 15/7= 6/5• 3/1= 18/5
(Сократили 42 и 7 на 7; 25 и 15 на 5)
2)) 2 4/7• 1 2/5= (7•2+4)/7• (5•1+2)/5= 18/7• 7/5= 18/1• 1/5= 18/5
(Сократили 7 и 7 на 7)
3)) первое минус второе
18/5- 18/5=0
4))0• 2 7/9=0
Б)) 1/2+ {5 1/6 -3 3/4+ 1/2} •10/23=1 1/3
1)) 5 1/6- 3 3/4= 5 (1•2)/(6•2)- 3 (3•3)/(4•3)= 5 2/12- 3 9/12= 4 (12•1+2)/12 -3 9/12= 4 14/12- 3 9/12= 1 5/12
2)) 1 5/12+ 1/2= 1 5/12+ (1•6)/(2•6)= 1 5/12+ 6/12= 1 11/12
3)) 1 11/12• 10/23= (12•1+11)/12• 10/23= 23/12• 10/23= 1/12• 10/1= 1/6• 5/1= 5/6
(Сократили 23 и 23 на 23; 12 и 10 на 2)
4)) 1/2+ 5/6= (1•3)/(2•3)+ 5/6= 3/6+ 5/6= 8/6= 1 2/6= 1 1/3
(2/6 сократили на 2)
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Answers & Comments
Verified answer
А)) {1 17/25 • 2 1/7 -2 4/7 •1 2/5} •2 7/9=01)) 1 17/25• 2 1/7= (25•1+17)/25• (7•2+1)/7= 42/25• 15/7= 6/5• 3/1= 18/5
(Сократили 42 и 7 на 7; 25 и 15 на 5)
2)) 2 4/7• 1 2/5= (7•2+4)/7• (5•1+2)/5= 18/7• 7/5= 18/1• 1/5= 18/5
(Сократили 7 и 7 на 7)
3)) первое минус второе
18/5- 18/5=0
4))0• 2 7/9=0
Б)) 1/2+ {5 1/6 -3 3/4+ 1/2} •10/23=1 1/3
1)) 5 1/6- 3 3/4= 5 (1•2)/(6•2)- 3 (3•3)/(4•3)= 5 2/12- 3 9/12= 4 (12•1+2)/12 -3 9/12= 4 14/12- 3 9/12= 1 5/12
2)) 1 5/12+ 1/2= 1 5/12+ (1•6)/(2•6)= 1 5/12+ 6/12= 1 11/12
3)) 1 11/12• 10/23= (12•1+11)/12• 10/23= 23/12• 10/23= 1/12• 10/1= 1/6• 5/1= 5/6
(Сократили 23 и 23 на 23; 12 и 10 на 2)
4)) 1/2+ 5/6= (1•3)/(2•3)+ 5/6= 3/6+ 5/6= 8/6= 1 2/6= 1 1/3
(2/6 сократили на 2)