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dolzhenkonatal
@dolzhenkonatal
September 2021
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Помогите 3 задание!!!!
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TigerYa
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Номер 3.
Вычислите наиболее простым способом
Удобно раскладывать числа
а))
-2/9• 13/15 -6/9• 17/15 =
-{ 2• 1/9• 13• 1/15+ 6• 1/9• 17• 1/15}=
-{ 1/9• 1/15• (2•13+6•17)}=
-{1/9•1/3•1/5• (26+6•10+7•6)}=
-{1/9•1/5•1/3•(26+60+42}=
-{1/45•1/3•128}=
-{ 1/135• 128}= -128/135.
Б))
4/7• 11/2 - 5/8• ( 11/7+ 3/7)=
4• 1/7• 11• 1/2- 5• 1/8• 11• 1/7- 5• 1/8• 3• 1/7=
1/7• { 4•11•1/2- 5• 1/8• 11- 5 • 1/8• 3}=
Сокращаем 4 и 2 на 2;
1/7• { 2•11•1/1- 5• 1/8• 11- 5• 3•1/8}=
1/7• {22- 1/8•(5•11+ 5•3)}=
1/7• {22-1/8•(55+15)}=
1/7•{22-1/8•70}=
Сокращаем 8 и 70 на 2
1/7•{22- 1/4•35}=
1/7•{22- 35/4}=
1/7•{ 22- 8 3/4}=
1/7• { 21 4/4- 8 3/4}=
1/7•{ 13 1/4}=
1/7• 13+ 1/7• 1/4=
13/7+ 1/28=
1 6/7+ 1/28= 1+ (6•4)/(7•4)+ 1/28=
1+ 24/28+ 1/28= 1 25/28.
Или так
4/7• 11/2 - 5/8• ( 11/7+ 3/7)=
2/7• 11/1- 5/8• 14/7=
22/7- 5/8• 2=
22/7- 5/4•1=
(22•4)/(7•4)- (5•7)/(4•7)=
88/28- 35/28=
53/28= 1 25/28.
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Answers & Comments
Verified answer
Номер 3.Вычислите наиболее простым способом
Удобно раскладывать числа
а))
-2/9• 13/15 -6/9• 17/15 =
-{ 2• 1/9• 13• 1/15+ 6• 1/9• 17• 1/15}=
-{ 1/9• 1/15• (2•13+6•17)}=
-{1/9•1/3•1/5• (26+6•10+7•6)}=
-{1/9•1/5•1/3•(26+60+42}=
-{1/45•1/3•128}=
-{ 1/135• 128}= -128/135.
Б))
4/7• 11/2 - 5/8• ( 11/7+ 3/7)=
4• 1/7• 11• 1/2- 5• 1/8• 11• 1/7- 5• 1/8• 3• 1/7=
1/7• { 4•11•1/2- 5• 1/8• 11- 5 • 1/8• 3}=
Сокращаем 4 и 2 на 2;
1/7• { 2•11•1/1- 5• 1/8• 11- 5• 3•1/8}=
1/7• {22- 1/8•(5•11+ 5•3)}=
1/7• {22-1/8•(55+15)}=
1/7•{22-1/8•70}=
Сокращаем 8 и 70 на 2
1/7•{22- 1/4•35}=
1/7•{22- 35/4}=
1/7•{ 22- 8 3/4}=
1/7• { 21 4/4- 8 3/4}=
1/7•{ 13 1/4}=
1/7• 13+ 1/7• 1/4=
13/7+ 1/28=
1 6/7+ 1/28= 1+ (6•4)/(7•4)+ 1/28=
1+ 24/28+ 1/28= 1 25/28.
Или так
4/7• 11/2 - 5/8• ( 11/7+ 3/7)=
2/7• 11/1- 5/8• 14/7=
22/7- 5/8• 2=
22/7- 5/4•1=
(22•4)/(7•4)- (5•7)/(4•7)=
88/28- 35/28=
53/28= 1 25/28.