Question

[Dung Thuy]

18 x ( 373737 /424242 + 373737 / 565656 + 373737/ 727272 )

Answer 1

[VRCT_Ran Love Shinichi]

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

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

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

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

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

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

Answer 2

[I don't need you]

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

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

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

\(=37\)