so sánh
\(\frac{12}{10}\) và \(\frac{6}{5}\)
\(\frac{13}{15}\) và \(\frac{232323}{252525}\)
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a)
\(\frac{13}{27}=\frac{13.101}{27.101}=\frac{1313}{2727}\)
=> \(\frac{13}{27}=\frac{1313}{2727}\)
b)
\(-\frac{15}{23}=-\frac{15.10101}{23.10101}=-\frac{151515}{232323}\)
=>\(-\frac{15}{23}=-\frac{151515}{232323}\)
a) \(\frac{1313}{2727}=\frac{1313:101}{2727:101}=\frac{13}{27}\)
Vậy \(\frac{13}{27}=\frac{1313}{2727}\)
b) \(-\frac{151515}{232323}=\frac{-151515:10101}{232323:10101}=-\frac{15}{23}\)
Vậy \(-\frac{15}{23}=-\frac{151515}{232323}\)
a, \(\frac{1313}{2727}=\frac{13\cdot101}{27\cdot1001}=\frac{13}{27}\)
b,\(\frac{151515}{232323}=\frac{15.10101}{23.10101}=\frac{15}{23}\)
Bài 1:
Ta có:
\(\left(\frac{1}{10}\right)^{15}=\left(\frac{1}{5}\right)^{3.5}=\left(\frac{1}{125}\right)^5\)
\(\left(\frac{3}{10}\right)^{20}=\left(\frac{3}{10}\right)^{4.5}=\left(\frac{81}{10000}\right)^5\)
Lại có:
\(\frac{1}{125}=\frac{80}{10000}< \frac{81}{10000}\Rightarrow\left(\frac{1}{125}\right)^5< \left(\frac{81}{10000}\right)^5\)
\(\Rightarrow\left(\frac{1}{10}\right)^{15}< \left(\frac{3}{10}\right)^{20}\)
Bài 2:
Ta có:
\(A=\frac{13^{15}+1}{13^{16}+1}\Rightarrow13A=\frac{13^{16}+13}{13^{16}+1}=1+\frac{12}{13^{16}+1}\)
\(B=\frac{13^{16}+1}{13^{17}+1}\Rightarrow13B=\frac{13^{17}+13}{13^{17}+1}=1+\frac{12}{13^{17}+1}\)
Mà \(\frac{12}{13^{16}+1}>\frac{12}{13^{17}+1}\)
\(\Rightarrow1+\frac{12}{13^{16}+1}>1+\frac{12}{13^{17}+1}\)
\(\Rightarrow13A>13B\Rightarrow A>B\)
\(\frac{252525}{373737}=\frac{252525:10101}{373737:10101}=\frac{25}{37}\)
\(\frac{272727}{353535}=\frac{272727:10101}{353535:10101}=\frac{27}{35}>\frac{27}{37}>\frac{25}{37}\)
vậy \(\frac{252525}{373737}
\(\frac{252525}{373737}=\frac{25.10101}{37.10101}=\frac{25}{37}=\frac{875}{1295}\)
\(\frac{272727}{353535}=\frac{27.10101}{35.10101}=\frac{27}{35}=\frac{999}{1295}\)
Vì \(\frac{875}{1295}
a) Ta có :
\(\frac{12}{10}-1=\frac{12}{10}-\frac{10}{10}=\frac{2}{10}\)
\(\frac{6}{5}-1=\frac{6}{5}-\frac{5}{5}=\frac{1}{5}\)
Ta thấy : \(\frac{2}{10}=\frac{1}{5}\)nên \(\frac{12}{10}=\frac{6}{5}\)
b) \(\frac{232323}{252525}=\frac{232323\div10101}{252525\div10101}=\frac{23}{25}\)
Ta có :
\(\frac{13}{15}=\frac{13\times25}{15\times25}=\frac{325}{375};\frac{23}{25}=\frac{23\times15}{25\times15}=\frac{345}{375}\)
Vì \(\frac{325}{375}< \frac{345}{375}\)nên \(\frac{13}{15}< \frac{232323}{252525}\)
Doraeiga mày bị thiếu máu não à CTV ngu hơ ncon bò :
Ta có : \(\frac{12}{10}=\frac{12:2}{10:2}=\frac{6}{5}\)
Vậy \(\frac{12}{10}=\frac{6}{5}\)