\(\dfrac{25}{27};\dfrac{51}{53};\dfrac{47}{49};\dfrac{103}{105};\dfrac{2009}{2011};\dfrac{1963}{1963};\)

25/27,47/49,51/53,103/105,2009/2011,1963/1963.

8.07605229591837

dấu . là dấu nhân đó mk viết nhầm 

\(=18\times\left(\frac{37\times10101}{42\times10101}+\frac{37\times10101}{56\times10101}+\frac{37\times10101}{72\times10101}\right)\)

\(=18\times\left(\frac{37}{42}+\frac{37}{56}+\frac{37}{72}\right)\)

\(=666\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\)

\(=666\times\left(\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)\)

\(=666\times\left(\frac{1}{6}-\frac{1}{9}\right)\)

\(=666\times\frac{1}{18}=37\)

\(18\times\left(\frac{373737}{424242}+\frac{373737}{565656}+\frac{373737}{727272}\right)\)

\(=18\times\left(\frac{37}{42}+\frac{37}{56}+\frac{37}{72}\right)\)

\(=18\times\frac{37}{18}\)

\(=37\)

37/42+37/56+37/72 = 37(1/42+1/56+1/72)=37( 1/6.7 + 1/7.8 + 1/8.9 )= 37( 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9)= 37( 1/6 - 1/9)= 37.1/18=37/18

B = 37/42 + 37/56 + 37/72 

B = 37/18

\(A=18\cdot\left(\frac{373737}{424242}+\frac{373737}{565656}+\frac{373737}{727272}\right)\)

\(=18\cdot\left(\frac{37}{42}+\frac{37}{56}+\frac{37}{72}\right)=18\cdot37\cdot\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\)

\(=18\cdot37\cdot\left(\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}\right)\)

\(=18\cdot37\cdot\left(\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)\)

\(=18\cdot37\cdot\left(\frac{1}{6}-\frac{1}{9}\right)=18\cdot37\cdot\left(\frac{3}{18}-\frac{2}{18}\right)\)

\(=18\cdot37\cdot\frac{1}{18}=18\cdot\frac{1}{18}\cdot37=1\cdot37=37\)

\(A=18x\left(\frac{373737}{424242}+\frac{373737}{565656}+\frac{373737}{727272}\right)\)

    \(=18x\left(\frac{37x10101}{42x10101}+\frac{37x10101}{56x10101}+\frac{37x10101}{72x10101}\right)\)

     \(=18x\left(\frac{37}{42}+\frac{37}{56}+\frac{37}{72}\right)\)

       \(=18x\frac{37}{18}\)

        \(=37\)

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