Tính :
S = 42+4242+424242+....+424242...42
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2 - x = 1/5 : 1/4
2 - x = 1/5 * 4
2 - x = 4/5
x = 2 - 4/5
x = 6/5
3 - x = 1/3 : 1/6
3 - x = 1/3 * 6
3 - x = 2
x = 3 - 2
x = 1
b) 1/3 * 1/2 + 1/5 * 1/2
= 1/2 * (1/3 + 1/5)
= 1/2 * 8/15
= 4/15
373737/414141 : 4545/4141
= 37/41 : 45/41
= 37/41 * 41/45
= 37/45
2727/4242 + 13/42 + 444444/424242
= 9/14 + 13/42 + 22/21
= 2
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. ;)
\(a,-\frac{9}{12}=-\frac{9:3}{12:3}=-\frac{3}{4}\)
\(\frac{-18}{-24}=\frac{\left(-18\right):\left(-6\right)}{\left(-24\right):\left(-6\right)}=\frac{3}{4}\)
\(-\frac{35}{70}=-\frac{35:35}{70:35}=\frac{1}{2}\)
\(-\frac{9}{27}=-\frac{9:9}{27:9}=-\frac{1}{3}\)
\(b,\frac{1313}{4242}=\frac{1313:101}{4242:101}=\frac{13}{42}\)
\(\frac{-353535}{-424242}=\frac{\left(-353535\right):\left(-70707\right)}{\left(-424242\right):\left(-70707\right)}=\frac{5}{6}\)
\(c,\frac{2^3\times4^3\times5^4}{8^2\times25^3\times7}=\frac{2^3\times4^3\times25^2}{8\times8^2\times25^2\times25\times7}\) ( 4^3 = 8^2 ; 5^4 = 25^2 )
\(=\frac{1}{25\times7}=\frac{1}{175}\)
\(a.\frac{-9}{-12}=\frac{-9:3}{-12:3}=\frac{-3}{-4}.\)
\(\frac{-18}{-24}=\frac{-18:6}{-24:6}=\frac{-3}{-4}\)
\(\frac{-35}{-70}=\frac{-35:35}{-70:35}=\frac{-1}{-2}\)
\(\frac{-9}{-27}=\frac{-9:9}{-27:9}=\frac{-1}{-3}\)