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vì -3737/5151=\(\frac{-37.101}{51.101}\) =-37/51
-373737 / 515151=\(\frac{-37.10101}{51.10101}\) =-37/51
=>-3737/5151=-373737/515151
ok
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\(\frac{-15}{21}=\frac{-15\div3}{21\div3}=\frac{-5}{7}\)
\(\frac{-55}{77}=\frac{-55\div11}{77\div11}=\frac{-5}{7}\)
Vì \(\frac{-5}{7}=\frac{-5}{7}\Rightarrow\frac{-15}{21}=\frac{-55}{77}\)
b , \(\frac{-3737}{5151}=\frac{-3737\div101}{5151\div101}=\frac{-37}{51}\)
\(\frac{-373737}{515151}=\frac{-373737\div10101}{515151\div10101}=\frac{-37}{51}\)
Vì \(\frac{-37}{51}=\frac{-37}{51}\Rightarrow\frac{-3737}{5151}=\frac{-373737}{515151}\)
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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`
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a,23/99 = 23.101/99.101=2323/9999
23/99 = 23.10101/99.10101=232323/999999
b, -3737/5151=-3737.101/5151.101=-373737/515151
c, tương tự thì cứ lấy phân số đầu .2 xong rồi .4
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![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(\frac{1717}{8585}=\frac{17.101}{85.101}=\frac{17}{85}=\frac{1}{5}=\frac{13}{65}\)
\(\frac{1313}{5151}=\frac{13.101}{51.101}=\frac{13}{51}\)
Vì \(\frac{13}{65}< \frac{13}{51}\) nên \(\frac{1717}{8585}< \frac{1313}{5151}\)
-3737/5151=-3737:101/5151:101=-37/51
\(\frac{-37}{51}\)