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(\(\frac{121}{122}\). \(\frac{123}{125}\)) .(\(\frac{1995}{1996}\).\(\frac{17}{16}\)- \(\frac{21}{25}\):\(\frac{16}{17}\)).(\(\frac{42}{30}\).\(\frac{75}{23}\)-\(\frac{19}{23}\).\(\frac{210}{38}\))
= (121/122 . 123/125) . ( 1995/1996 . 17/16 - 21/25 : 16/ 17) . 0
= 0
\(a,\frac{1995}{1996}.\frac{19961996}{19311931}.\frac{193119311931}{199519951995}\) \(c,\frac{1997.1996-1}{1995.1997+1996}\)
\(=\frac{1995}{1996}.\frac{1996}{1931}.\frac{1931}{1995}\) \(=\frac{1997.\left(1995+1\right)-1}{1995.1997+1996}\)
\(=\frac{1995.1996.1931}{1996.1931.1995}\) \(=\frac{1997.1995+1997-1}{1997.1995+1996}\)
\(=1\) \(=\frac{1997.1995+1996}{1995.1997+1996}\)
\(=1\)
Ý (a) giống ý (b)
Ý (c) giống ý (d)
1) \(\frac{3}{5}+\frac{6}{11}+\frac{7}{13}+\frac{2}{5}+\frac{16}{11}+\frac{19}{13}\)
\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{6}{11}+\frac{16}{11}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)\)
\(=1+2+2\)
\(=5\)
2) \(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)......\left(1-\frac{1}{100}\right)\)
\(=\frac{1}{2}.\frac{2}{3}........\frac{99}{100}\)
\(=\frac{1}{100}\)
3) \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}=\frac{31}{32}\)
a) 1313/2121 . 165165/143143 . 424242/151515
= 13/21 . 15/13 . 14/5
= 2
Ps: Rút gọn tới tối giản r tính dễ hơn ế. ;)