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a) 123/127 = 123123/127127
Ta có 123123/127127 = 123 x 1001/127 x 1001
<=> 123123/ 127127 = 123 /127
Vậy 123/127 = 123123 /127127
b) 13/15 = 1313/1515 = 131313/151515
- Ta có 1313/1515 = 13 x 101 / 15 x 101
<=> 1313/1515 = 13/15
- ta cũng có : 131313/151515 = 13 x 10101 / 15 x10101
<=> 131313/151515 = 13/15
Vậy 13/15 = 1313/1515 = 131313 /151515
Chúc bạn học tốt <3
123/127=123123/127127=123 x 1001/127 x 1001=123/127
13/15=1313/1515=13 x 101/15 x 101=13 x 10101/15 x 10101=13/15
ung ho nhe
Ta có: 22/33 = 2/3 = 12/18
12/19 < 12/18
Vậy 12/19 < 22/33
\(\frac{1212}{1313}=\frac{101.12}{101.13}=\frac{12}{13}\)
12/13 = 12/13
Vậy 12/13 = 1212/1313
124124/125125 = \(\frac{1001.124}{1001.125}=\frac{124}{125}\)
1 - 123/124 = 1/124 ; 1 - 124/125 = 1/125
Nên 123/124 < 124/125
Vậy 123/124 < 124124/125125
a) Ta có : 22/33 = 2/3 = 12/18
Vì 12/18 > 12/19 nên 12/19 < 22/33
b) Ta có : 1212/1313 = 12/13
Vì 12/13 = 12/13 nên 12/13 = 1212/1313
c) Ta có : 124124/125125 = 124/125
1 - 123/124 = 1/124
1 - 124/125 = 1/125
Vì 1/124 > 1/125 nên 123/124 < 124124/125125
\(\frac{1010+1111+1212+1313+1414+1515+1616+1717}{2020+2121+2222+2323+2424+2525+2626+2727}\)
\(=\frac{101.10+101.11+...+101.17}{101.20+101.21+...+101.27}\)
\(=\frac{101.\left(10+11+...+17\right)}{101.\left(20+21+...+27\right)}\)
\(=\frac{108}{188}\)
\(=\frac{27}{47}\)
\(2>\left(\frac{1}{6}+\frac{2}{15}+\frac{3}{40}+\frac{4}{96}\right)\cdot5.y>\frac{5}{6}\)
\(\Rightarrow2>\left(\frac{1}{6}+\frac{2}{15}+\frac{3}{40}+\frac{1}{24}\right):5.y>\frac{5}{6}\)
\(\Rightarrow2>\left(\frac{20}{120}+\frac{16}{120}+\frac{9}{120}+\frac{5}{120}\right):5.y>\frac{5}{6}\)
\(\Rightarrow2>\frac{5}{12}:5.y>\frac{5}{6}\)
\(\Rightarrow2>\frac{1}{12}.y>\frac{5}{6}\)
Đặt :\(\frac{1}{12}.y=2\Rightarrow y=2:\frac{1}{12}=24\)
\(\frac{1}{12}.y=\frac{5}{6}\Rightarrow y=\frac{5}{6}:\frac{1}{12}=10\)
\(\Rightarrow24>y>10\)
\(\Rightarrow y\in\left\{11;12;...;23\right\}\)
Ta có 1212/1313= 12/13
=> 1212/1313 =12/13
TL ;
k 1 lần thôi là vui lắm rồi . Hai lần làm gì cho khổ
\(\frac{1212}{1313}\)x \(\frac{169169}{144144}\)
Ta thấy 169169 là k của 1313 nên ta chia luôn thành 1
Ta thấy 144144 là tích của 1212 nên ta chia luôn bằng 1
Vậy kết quả bằng \(\frac{1212}{1313}\)
A = \(\frac{12}{13}\times3\) + \(\frac{1212}{1313}\times6\) + \(\frac{121212}{131313}\)
A = \(\frac{12}{13}\times3\) + \(\frac{12}{13}\times6\) + \(\frac{12}{13}\)
A = \(\frac{12}{13}\) x 3 + \(\frac{12}{13}\) x 6 + \(\frac{12}{13}\times1\)
A = \(\frac{12}{13}\) x (3+ 6 + 1)
A = \(\frac{12}{13}\) x (9+ 1)
A = \(\frac{12}{13}\) x 10
A = \(\frac{120}{13}\)
tôi tin sẽ giúp tôi
\(\frac{12}{13}\times3+\frac{1212}{1313}\times6+\frac{121212}{131313}\)
\(=\frac{12}{13}\times3+\frac{12}{13}\times6+\frac{12}{13}\)
\(=\frac{12}{13}\times\left(3+6+1\right)\)
\(=\frac{12}{13}\times10\)
\(\) \(=\frac{120}{13}\)
A = 12 13 × 3 13 12 ×3 + 1212 1313 × 6 1313 1212 ×6 + 121212 131313 131313 121212 A = 12 13 × 3 13 12 ×3 + 12 13 × 6 13 12 ×6 + 12 13 13 12 A = 12 13 13 12 x 3 + 12 13 13 12 x 6 + 12 13 × 1 13 12 ×1 A = 12 13 13 12 x (3+ 6 + 1) A = 12 13 13 12 x (9+ 1) A = 12 13 13 12 x 10 A = 120 13 13 120
\(120\)/13
A= \(\frac{12}{13} \times 3\) + \(\frac{1212}{1313} \times 6\) + \(\frac{121212}{131313}\)
A = \(\frac{12}{13} \times 3\) + \(\frac{12}{13} \times 6\) + \(\frac{12}{13}\)
A = \(\frac{12}{13}\) x 3 + \(\frac{12}{13}\) x 6 + \(\frac{12}{13} \times 1\)
A = \(\frac{12}{13}\) x (3+ 6 + 1)
A = \(\frac{12}{13}\) x (9+ 1)
A = \(\frac{120}{13}\)
A = \(\frac{12}{13} \times 3\) + \(\frac{1212}{1313} \times 6\) + \(\frac{121212}{131313}\)
A = \(\frac{12}{13} \times 3\) + \(\frac{12}{13} \times 6\) + \(\frac{12}{13}\)
A = \(\frac{12}{13}\) x 3 + \(\frac{12}{13}\) x 6 + \(\frac{12}{13} \times 1\)
A = \(\frac{12}{13}\) x (3+ 6 + 1)
A = \(\frac{12}{13}\) x (9+ 1)
A = \(\frac{12}{13}\) x 10
A = \(\frac{120}{13}\)
Đặt $N = \frac{12}{13} \times 3 + \frac{1212}{1313} \times 6 + \frac{121212}{131313}$
Ta có:
$N = \frac{12}{13} \times 3 + \frac{12 \times 101}{13 \times 101} \times 6 + \frac{12 \times 10101}{13 \times 10101}$
$N = \frac{12}{13} \times 3 + \frac{12}{13} \times 6 + \frac{12}{13} \times 1$
$N = \frac{12}{13} \times (3 + 6 + 1)$
$N = \frac{12}{13} \times 10$
$N = \frac{120}{13}$
Vậy kết quả là $N = \frac{120}{13}$ (hoặc $9\frac{3}{13}$).