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84/144 = 7/12 225/60 = 15/4 169/65 = 13/5
64/48 = 4/3 96/42 = 16/7
( 7/12 - 15/4 - 13/5 ) : ( 3/2 - 4/3 - 16/7 )
= -173/30 : -89/42
= 1221/445
84/144 = 7/12;225/60 = 15/4;169/65 = 13/5;64/48 = 4/3;96/42 = 16/7
( 7/12 - 15/4 - 13/5 ) : ( 3/2 - 4/3 - 16/7 )
= -173/30 : -89/42
= 1221/445
Rút gọn
A, \(\dfrac{125}{1000}\)
\(\dfrac{125}{1000}=\dfrac{125:125}{1000:125}=\dfrac{1}{8}\)
B, \(\dfrac{3600-75}{4800-175}\)
\(\dfrac{3600-75}{4800-175}=\dfrac{3525}{4625}\)
\(\Rightarrow\dfrac{3525}{4625}=\dfrac{3525:25}{4625:25}=\dfrac{141}{185}\)
C, \(\dfrac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\)
\(\dfrac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\dfrac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{\left(-5\right)^{20}.3^{10}.3^2}=\dfrac{\left(-5\right)}{3^2}=\dfrac{-5}{9}\)
1-212121/353535=141414/353535=10101/353535
1-131313/141414=10101/141414
Vì
10101/141414>10101/353535
Nên
212121/353535>131313/141414
\(\frac{\frac{3}{2}\left(\frac{1}{6}-\frac{1}{16}+\frac{1}{16}-\frac{1}{26}+\frac{1}{26}-\frac{1}{36}\right)}{\frac{33}{10}\left(\frac{1}{6}-\frac{1}{16}+\frac{1}{16}-\frac{1}{26}+\frac{1}{26}-\frac{1}{36}\right)}=\frac{\frac{3}{2}}{\frac{3}{10}}=\frac{3}{2}:\frac{33}{10}=\frac{5}{11}\)
