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a)1/2=3/12 vì 1.12=4.3(=12)
b)2/3<6/8 vì 2.8 < 3.6(16< 18)
c)Ta có : 4/3=12/9
12/9>-12/9Suy ra 4/3 >-12/9
d)-3/5=9/-15 vì -3.-15=5.9(=45)
a) \(\frac{1}{4}\)và\(\frac{3}{12}\)
\(\frac{3}{12}\)và\(\frac{3}{12}\)
Vì 3=3 nên \(\frac{3}{12}\)=\(\frac{3}{12}\)
Vậy \(\frac{1}{4}\)=\(\frac{3}{12}\)
b) \(\frac{2}{3}\)và\(\frac{6}{8}\)
\(\frac{16}{24}\)và\(\frac{18}{24}\)
Vì 16<18 nên \(\frac{16}{24}\)<\(\frac{18}{24}\)
Vậy \(\frac{2}{3}\)<\(\frac{6}{8}\)
c) \(\frac{4}{3}\)và\(\frac{-12}{9}\)
\(\frac{12}{9}\)và\(\frac{-12}{9}\)
Vì 12>-12 nên \(\frac{12}{9}\)>\(\frac{-12}{9}\)
Vậy \(\frac{4}{3}\)>\(\frac{-12}{9}\)
d)\(\frac{-3}{5}\)và\(\frac{9}{-15}\)
\(\frac{-9}{15}\)và\(\frac{-9}{15}\)
Vì -9=-9 nên \(\frac{-9}{15}\)=\(\frac{-9}{15}\)
Vậy \(\frac{-3}{5}\)=\(\frac{9}{-15}\)
CHÚC BẠN HỌC TỐT
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Gọi (n + 3,n + 2) = d
=> \(\hept{\begin{cases}n+3⋮d\\n+2⋮d\end{cases}}\Leftrightarrow\left(n+3\right)-\left(n+2\right)⋮d\)
=> \(1⋮d\Rightarrow d=1\)
=> (n + 3, n + 2) = 1
=> ĐPCM
b) Gọi (2n + 3; 4n + 8) = d
=> \(\hept{\begin{cases}2n+3⋮d\\4n+8⋮d\end{cases}}\Leftrightarrow\hept{\begin{cases}4n+6⋮d\\4n+8⋮d\end{cases}}\Leftrightarrow\left(4n+8\right)-\left(4n+6\right)⋮d\)
=> \(2⋮d\Leftrightarrow d\in\left\{1;2\right\}\)
Khi d = 2 nhận thấy 2n + 3 \(⋮̸\)2 \(\forall n\)
=> d = 2 loại
=> d = 1
=> ĐPCM
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Bài 1
a) \(\frac{5}{6}=\frac{x-1}{x}\)
<=> 5x=6x-6
<=> 5x-6x=-6
<=> -11x=-6
<=> \(x=\frac{6}{11}\)
b)c)d) nhân chéo làm tương tự
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Câu 1: Số ghế xếp 2 hàng là:
300-270=30 ghế.
Số ghế xếp 1 hàng là:
30:2=15 ghế
Số hàng ghế trước đó là:
270:15=18 hàng
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1/ (a – b + c) – (a + c) = -b
a-b+c-a-c=-b
-b=-b
2/ (a + b) – (b – a) + c = 2a + c
a+b-b+a+c=2a+c
2a+c=2a+c
3/ - (a + b – c) + (a – b – c) = -2b
-a-b+c+a-b-c=-2b
-(b.2)=-2b
-2b=-2b
4/ a(b + c) – a(b + d) = a(c – d)
ab+ac-ab+ad=a(c-d)
ac-ad=a(c-d)
a(c-d)=a(c-d)
5/ a(b – c) + a(d + c) = a(b + d)
ab-ac+ad+ac=a(b+d)
ab+ad=a(b+d)
a(b+d)=a(b+d)
6/ a.(b – c) – a.(b + d) = -a.( c + d)
ab-ac-ab=ad=-a(c+d)
-ac+ad=-a(c+d)
-a(c+d)=-a(c+d)
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a) \(\frac{a}{-b}=\frac{a.\left(-1\right)}{-b.\left(-1\right)}=\frac{-a}{b}\)
\(\Rightarrow\frac{a}{-b}=\frac{-a}{b}\)
b) \(\frac{-a}{-b}=\frac{-a.\left(-1\right)}{-b.\left(-1\right)}=\frac{a}{b}\)
\(\Rightarrow\frac{-a}{-b}=\frac{a}{b}\)
a) Ta có:
\(\frac{a}{-b}=\frac{a.\left(-1\right)}{-b.\left(-1\right)}=\frac{-a}{b}\)
\(\Rightarrow\frac{a}{-b}=\frac{-a}{b}\)
b) Ta có:
\(\frac{-a}{-b}=\frac{-a.\left(-1\right)}{-b.\left(-1\right)}=\frac{a}{b}\)
\(\Rightarrow\frac{-a}{-b}=\frac{a}{b}\)
TL :
A nha
HT