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ta có \(\frac{3}{7}=\frac{3\times3}{7\times3}=\frac{9}{21}\)(quy đồng tử)
So sánh \(\frac{9}{21}\)và \(\frac{9}{17}\)ta có:
\(21>17\Rightarrow\frac{9}{17}>\frac{9}{21}\Rightarrow\frac{9}{17}>\frac{3}{7}\)
VẬY: \(\frac{9}{17}>\frac{3}{7}\)
Ta có:
11/32 > 11/33 = 1/3 = 9/27 > 9/28
=> 11/32 > 9/28
Vậy 9/28 < 11/32
Ở phần a :
Phân số 161616/151515 sẽ chia cho 10101 để ra kết quả là 16/15
Còn phần b
Phân số 20112011/20122012 sẽ chia cho 10001 để ra kết quả là 2011/2012
4 + \(\frac{3}{13}=\frac{4}{1}\)+ \(\frac{3}{13}=\frac{55}{13}\)
\(4+\frac{3}{13}=\frac{4}{1}+\frac{3}{13}=\frac{52}{13}+\frac{3}{13}=\frac{55}{13}\)
HT
\(\frac{3}{6.8}+\frac{3}{8.10}+.......+\frac{3}{198.200}\)
\(=\frac{3}{2}.\left(\frac{2}{6.8}+\frac{2}{8.10}+........+\frac{2}{198.200}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+........+\frac{1}{198}-\frac{1}{200}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{6}-\frac{1}{200}\right)\)
\(=\frac{3}{2}.\frac{97}{600}=\frac{97}{400}\)
\(3.\left(\frac{2}{6.8}+\frac{2}{8.10}+....+\frac{2}{198.200}\right).\frac{1}{2}\)
=\(3.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+...+\frac{198}{200}\right).\frac{1}{2}\)
=\(3.\left(\frac{1}{6}-\frac{1}{200}\right).\frac{1}{2}\)
=.\(3.\frac{97}{600}.\frac{1}{2}\)=97/400
\(\frac{3}{6.8}+\frac{3}{8.10}+......+\frac{3}{198.200}\)
\(=\frac{3}{2}.\left(\frac{2}{6.8}+\frac{2}{8.10}+........+\frac{2}{198.200}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+.......+\frac{1}{198}-\frac{1}{200}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{6}-\frac{1}{200}\right)\)
\(=\frac{3}{2}.\frac{97}{600}=\frac{97}{400}\)
3/6.8 + 3/8.10 + ... + 3/198.200
= 3. (1/6.8 + 1/8.10 + ... + 1/198.200)
= 3.1/2. (2/6.8 + 2/8.10 + ... + 2/198.200)
= 3/2. (1/6 - 1/8 + 1/8 - 1/10 + ... + 1/198 - 1/200)
= 3/2. (1/6 - 1/200)
= 3/2. 97/600
= 97/400.
Đặt A=3/6.8+3/8.10+...+3/198.200
A/3=1/6.8+1/8.10+...+1/198.200
A/3=1/6-1/8+1/8+1/10+...+1/198-1/200
A/3=1/6-1/200
A/3=97/600
=>A=97/600.3
A=97/200
Vậy A=97/200
36.8 +38.10 +......+3198.200
=32 .(26.8 +28.10 +........+2198.200 )
=32 .(16 −18 +18 −110 +.......+1198 −1200 )
=32 .(16 −1200 )
=32 .97600 =97400