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\(A=11x\left(\frac{5}{11x16}+\frac{5}{16x21}+\frac{5}{21x26}+\frac{5}{26x31}+\frac{5}{31x36}+\frac{5}{36x41}\right)\)
\(A=11x\left(\frac{16-11}{11x16}+\frac{21-16}{16x21}+\frac{26-21}{21x26}+...+\frac{41-36}{36x41}\right)\)
\(A=11x\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+...+\frac{1}{36}-\frac{1}{41}\right)\)
\(A=11x\left(\frac{1}{11}-\frac{1}{41}\right)=11x\frac{30}{11x41}=\frac{30}{41}\)
A=\(\frac{55}{11.16}+\frac{55}{16.21}+...+\frac{55}{36.41}\)
A=\(11\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{36}-\frac{1}{41}\right)\)
A=\(11\left(\frac{1}{11}-\frac{1}{41}\right)\)
A=\(11.\frac{30}{451}\)
A=\(\frac{30}{41}\)
\(A=\frac{55}{11.16}+\frac{55}{16.21}+\frac{55}{21.26}+......+\frac{55}{36.41}\)
\(=11\left(\frac{5}{11.16}+\frac{5}{16.21}+......+\frac{5}{36.41}\right)\)
\(=11.\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+.......+\frac{1}{36}-\frac{1}{41}\right)\)
\(=11.\left(\frac{1}{11}-\frac{1}{41}\right)\)
\(=11.\frac{30}{451}=\frac{30}{41}\)
Mình nghĩ ra câu a rồi!
Ta có: 58/63 > 54/63=6/7
Mà 6/7=36/42 > 36/55
Vậy 58/63 > 36/55.
Mình làm câu b trước nha!
31/41 = 310/410
Ta có: 310/410 = 1-100/410 ; 313/413 = 1-100/413
Ta thấy: 100/410 > 100/413 => 1-100/410 < 1-100/413
Vậy 31/41 < 313/413.
7/18 + 5/3 . 12/9 : 55/4
= 7/18 + 20/9 . 4/55
= 7/18 + 16/99
= 693/1782 + 288/1782
= 981/1782
a)\(\frac{1}{95}>\frac{1}{96}\Rightarrow\frac{91}{95}>\frac{91}{96}\Rightarrow\frac{93}{95}>\frac{91}{95}>\frac{91}{96}\Rightarrow\frac{93}{95}>\frac{91}{96}\)
b)\(\frac{37}{40}=1-\frac{3}{40}\)\(\frac{43}{46}=1-\frac{3}{46}\)
\(\frac{1}{40}>\frac{1}{46}\Rightarrow\frac{-3}{40}< -\frac{3}{46}\Rightarrow1-\frac{3}{40}< 1-\frac{3}{46}\Rightarrow\frac{37}{40}< \frac{43}{46}\)
c)
\(\frac{27}{55}=\frac{54}{110}< \frac{55}{110}=\frac{1}{2}\)
\(\frac{12}{23}=\frac{24}{46}>\frac{23}{46}=\frac{1}{2}\)
Vậy \(\frac{27}{55}< \frac{1}{2}< \frac{12}{23}\Rightarrow\frac{27}{55}< \frac{12}{23}\)
\(\frac{7}{18}\)+ \(\frac{5}{3}\)* 1\(\frac{3}{9}\): \(\frac{55}{4}\)
Mọi người giúp mình giải nhé!!!
\(\frac{7}{18}+\frac{5}{3}\times1\frac{3}{9}\div\frac{55}{4}=\)\(\frac{7}{18}+\frac{5}{3}\times\frac{12}{9}\div\frac{55}{4}=\)\(\frac{7}{18}+\frac{5}{3}\times\frac{12}{9}\times\frac{4}{55}=\)\(\frac{7}{18}+\frac{5\times12\times4}{3\times9\times55}=\)\(\frac{7}{18}+\frac{4\times4}{9\times11}=\)\(\frac{7}{18}+\frac{16}{99}=\)\(\frac{693}{1782}+\frac{288}{1782}=\)\(\frac{981}{1782}=\frac{109}{198}\)
30/41
bằng 30/41