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\(A=\frac{595959}{454545}-\frac{14141414}{15151515}\)
\(A=\frac{595959:10101}{454545:10101}-\frac{14141414:1010101}{15151515:1010101}\)
\(A=\frac{59}{45}-\frac{14}{15}\)
\(A=\frac{59}{45}-\frac{42}{45}=\frac{17}{45}\)
\(B=\frac{65+891+135+909}{731-47+69-253}\)
\(B=\frac{\left(65+135\right)+\left(891+909\right)}{\left(731+69\right)-\left(47+253\right)}\)
\(B=\frac{200+1800}{800-300}=\frac{2000}{500}=4\)
(-1/16)100= ((-1/2)4)100= (-1/2)4.100=(-1/2)400= (1/2)400
(-1/2)50=(1/2)50
Vì: (1/2)400> (1/2)50
=> (-1/16)100 > (-1/2)50
(-1/16)100= ((-1/2)4)100= (-1/2)4.100=(-1/2)400= (1/2)400
(-1/2)50=(1/2)50
Vì: (1/2)400> (1/2)50
=> (-1/16)100 > (-1/2)50
1.\(\frac{456}{461}va\frac{123}{128}\)
Ta có: \(\frac{456}{461}+\frac{5}{461}=1\)
\(\frac{123}{128}+\frac{5}{128}=1\)
vì \(\frac{5}{461}< \frac{5}{128}\)nên \(\frac{456}{461}>\frac{123}{128}\)
2.\(\frac{53}{57}va\frac{531}{571}\)
Vì \(\frac{53}{57}< 1\)
\(\Rightarrow\frac{53}{57}=\frac{530}{570}< \frac{530+1}{570+1}=\frac{531}{571}\)
\(\Rightarrow\frac{53}{57}< \frac{531}{571}\)
\(\frac{22}{45}\)< \(\frac{51}{101}\)
\(\frac{23}{48}\)< \(\frac{47}{92}\)
\(\frac{34}{43}\)< \(\frac{35}{42}\)
Giá trị của \(\frac{-22}{45}\)là:
\(-22:45=-0,4888...\)
Giá trị của \(\frac{-51}{103}\)là:
\(-51:103=-0,4951...\)
Vì: \(-0,4888...< -0,4951...\)nên \(\frac{-22}{45}\)\(< \frac{-51}{103}\).
Ta có \(\frac{150150150150}{160160160160}=\frac{150150150150:1001001001}{160160160160:1001001001}=\frac{150}{160}=\frac{15}{16}\)
\(\frac{14141414}{15151515}=\frac{14141414:1010101}{15151515:1010101}=\frac{14}{15}\)
Vì \(\frac{15}{16}>\frac{14}{15}=>\frac{150150150150}{160160160160}>\frac{14141414}{15151515}\)
\(\frac{150150150150}{160160160160}=\frac{150.1010101}{160.1010101}=\frac{150}{160}=\frac{15}{16}\)
Ta có:
\(1-\frac{15}{16}=\frac{1}{16}\)
\(1-\frac{14}{15}=\frac{1}{15}\)
\(\frac{1}{16}< \frac{1}{15}\)
\(\Rightarrow\frac{15}{16}>\frac{14}{15}\)
\(\Rightarrow\frac{150150150150}{160160160160}>\frac{14}{15}\)