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\(\frac{77}{176}=\frac{77:11}{176:11}=\frac{7}{16}\) ; \(\frac{232323}{474747}=\frac{232323:10101}{474747:10101}=\frac{23}{47}\)
\(\frac{376376}{159159}=\frac{376376:1001}{159159:1001}=\frac{376}{159}\) ; \(\frac{9\cdot8\cdot5}{24\cdot15}=\frac{9\cdot8\cdot5}{8\cdot3\cdot3\cdot5}=\frac{9\cdot8\cdot5}{8\cdot9\cdot5}=1\)
\(\frac{9.8.5}{24.15}\)
\(=\frac{9.8.5}{8.3.3.5}\)
\(=1\)
232323/474747 = 232323/474747 : 11/11 = 23/47
376376/159159 = 376376/159159 : 1001/1001 = 376/159
232323/474747=232323:10101/474747:10101=23/47
376376/159159=376376:1001/159159:1001=376/159
232323*474747-4747*232323
=232323*(474747-4747)
=232323*470000
=109191810000
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d. 37/53 x 535353/373737 x 23/48 x 242424/232323
= 1 x 1/2
= 1/2
37/53.23/48.535353/373737.242424/232323
=37/53.23/48.53/37.24/23
=37.23.53.24/53.48.37.23
=24/48
=1/2
\(\frac{232323.29}{23.292929}=\frac{23.29.10101}{23.29.10101}=1\)
\(\frac{101010}{232323}=\frac{101010:10101}{232323:10101}=\frac{10}{23}\)
\(\frac{1010}{2323}=\frac{1010:101}{2323:101}=\frac{10}{23}\)
=>\(\frac{101010}{232323}=\frac{1010}{2323}\)(Đpcm)
a) \(\frac{17}{23}.\frac{18}{16}.\frac{23}{17}-\left(-80\right)-\frac{3}{4}\)
= \(\frac{17.18.23}{23.16.17}+80-\frac{3}{4}\)
= \(\frac{9}{8}+80-\frac{3}{4}\)
= \(\frac{3}{8}+80=\frac{643}{8}\)
b) \(\frac{5}{11}.\frac{18}{29}-\frac{5}{11}.\frac{8}{29}+\frac{5}{11}.\frac{19}{29}\)
= \(\frac{5}{11}.\left(\frac{18}{29}-\frac{8}{29}+\frac{19}{29}\right)\)
= \(\frac{5}{11}.1=\frac{5}{11}\)
c) \(\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right).\left(\frac{1}{3}+\frac{1}{4}-\frac{7}{12}\right)\)
= \(\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right).0\)
= \(0\)
\(\dfrac{212121}{232323}=\dfrac{212121:10101}{232323:10101}=\dfrac{21}{23}\)
\(\dfrac{123123}{124124}=\dfrac{123123:1001}{124124:1001}=\dfrac{123}{124}\)
Ta có: \(1-\dfrac{21}{23}=\dfrac{2}{23}\) ; \(1-\dfrac{123}{124}=\dfrac{1}{124}=\dfrac{2}{248}\)
\(=>\dfrac{2}{23}>\dfrac{2}{248}\)
\(=>1-\dfrac{21}{23}>1-\dfrac{123}{124}\)
\(=>\dfrac{21}{23}< \dfrac{123}{124}\)
\(=>\dfrac{212121}{232323}< \dfrac{123123}{124124}\)
232323 . 474747 - 4747 . 232323
= 232323 . ( 474747 - 4747 )
= 232323 . 470000
= 109191810000
232323*474747-4747*232323
=232323*(474747-4747)
=232323*470000
=109191810000
tick đúng cho mik đi bạn