18.\(\left(\dfrac{3737}{4242}+\dfrac{3737}{5656}+\dfrac{3737}{7272}\right)\)
=18.\(\left(\dfrac{37}{42}+\dfrac{37}{56}+\dfrac{37}{72}\right)\)
=18.\(\dfrac{37}{18}\)
=37
`18 . (3737/4242+3737/5656+3737/7272)`
`=18. ( (37.101)/(42.101) + (37.101)/(56.101) + (37.101)/(72.101))`
`=18. (37/42+37/56 +37/72)`
`=18 . 37 . (1/42+1/56+1/72)`
`=18 . 37 . 1/18`
`=37`
\(18\cdot\left(\dfrac{3737}{4242}+\dfrac{3737}{5656}+\dfrac{3737}{7272}\right)\)
\(=18\cdot\left(\dfrac{37\cdot101}{42\cdot101}+\dfrac{37\cdot101}{56\cdot101}+\dfrac{37\cdot101}{72\cdot101}\right)\)
\(=18\cdot\left(\dfrac{37}{42}+\dfrac{37}{56}+\dfrac{37}{72}\right)\)
\(=18\cdot37\cdot\left(\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}\right)\)
\(=18\cdot37\cdot\left(\dfrac{1}{6\cdot7}+\dfrac{1}{7\cdot8}+\dfrac{1}{8\cdot9}\right)\)
\(=666\cdot\left(\dfrac{7-6}{6\cdot7}+\dfrac{8-7}{7\cdot8}+\dfrac{9-8}{8\cdot9}\right)\)
\(=666\cdot\left(\dfrac{7}{6\cdot7}-\dfrac{6}{6\cdot7}+\dfrac{8}{7\cdot8}-\dfrac{7}{7\cdot8}+\dfrac{9}{8\cdot9}-\dfrac{8}{8\cdot9}\right)\)
\(=666\cdot\left(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}\right)\)
\(=666\cdot\left(\dfrac{1}{6}-\dfrac{1}{9}\right)\)
\(=666\cdot\dfrac{1}{18}\)
\(=37\)
\(18.\left(\dfrac{3737}{4242}+\dfrac{3737}{5656}+\dfrac{3737}{7272}\right)\)
\(=18.\left(\dfrac{37}{42}+\dfrac{37}{56}+\dfrac{37}{72}\right)\)
\(=18.\dfrac{37}{18}\)
\(=37\)
