rút gọn rồi so sánh phân số sau
5/7 và 6/21 18/24 và 15/25 12/13 và 1212/1313
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a) \(\frac{33}{55}=\frac{33:11}{55:11}=\frac{3}{5}\)
Vì \(\frac{3}{5}=\frac{3}{5}\)nên \(\frac{3}{5}=\frac{33}{55}\)
\(\frac{20}{28}=\frac{20:4}{28:4}=\frac{5}{7}\)
Vì \(\frac{5}{7}=\frac{5}{7}\)nên \(\frac{5}{7}=\frac{20}{28}\)
b) \(\frac{6}{21}=\frac{6:3}{21:3}=\frac{2}{7}\)
Vì \(\frac{5}{7}>\frac{2}{7}\)nên \(\frac{5}{7}>\frac{6}{21}\)
\(\frac{1212}{1313}=\frac{1212:101}{1313:101}=\frac{12}{13}\)
VÌ \(\frac{12}{13}=\frac{12}{13}\)nên \(\frac{12}{13}=\frac{1212}{1313}\)
a) Rút gọn 33/55=3/5 => 3/5 = 3/5 hay 3/5=20/28
b) rút gọn 20/28= 5/7=> 5/7= 5/7 hay 5/7 = 20/28
c) rút gọn 6/21 = 2/7=> 5/7 >2/7 hay 5/7>6/21
d) rút gọn 1212/1313 = 12/13=> 12/13=12/13 hay 12/13=1212/1313
\(a,\)Ta có : \(\frac{33}{55}=\frac{33:11}{55:11}=\frac{3}{5}\)
\(\Rightarrow\frac{3}{5}=\frac{33}{55}\)
\(b,\)Ta có : \(\frac{1212}{1313}=\frac{1212:101}{1313:101}=\frac{12}{13}\)
\(\Rightarrow\frac{12}{13}=\frac{1212}{1313}\)
\(c,\)Ta có : \(\frac{20}{28}=\frac{20:4}{28:4}=\frac{5}{7}\)
\(\Rightarrow\frac{5}{7}=\frac{20}{28}\)
\(d,\)Ta có : \(\frac{6}{21}=\frac{6:3}{21:3}=\frac{2}{7}\)
Vì \(\frac{5}{7}>\frac{2}{7}\Rightarrow\frac{5}{7}>\frac{6}{21}\)
a) \(\dfrac{12}{14}=\dfrac{1200}{1400}=\dfrac{1400-200}{1400}=1-\dfrac{200}{1400}\)
\(\dfrac{1212}{1414}=\dfrac{1414-200}{1414}=1-\dfrac{200}{1414}\)
vì \(\dfrac{200}{1414}< \dfrac{200}{1400}\)
Nên \(1-\dfrac{200}{1400}< 1-\dfrac{200}{1414}\)
Vậy \(\dfrac{12}{14}< \dfrac{1212}{1414}\)
Các bài sau tương tự
a) \(\dfrac{23}{24}< 1\)
\(\dfrac{24}{23}>1\)
\(\Rightarrow\dfrac{23}{24}< \dfrac{24}{23}\)
b) \(\dfrac{4}{21}< \dfrac{4}{20}=\dfrac{1}{5}=\dfrac{6}{30}< \dfrac{6}{29}\)
c) \(\dfrac{6}{7}=1-\dfrac{1}{7}< \dfrac{8}{9}=1-\dfrac{1}{9}\)
d) \(\dfrac{1212}{1313}=\dfrac{12\times101}{13\times101}=\dfrac{12}{13}\)
ᵃ, ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{18}{24}=\dfrac{3}{4}\) ;
ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{15}{25}=\dfrac{3}{5}\)
Vì \(\dfrac{3}{4}>\dfrac{3}{5}\\ \Rightarrow\dfrac{18}{24}>\dfrac{15}{25}\)
ᵇ, ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{21}{15}=\dfrac{7}{5}\\ \dfrac{28}{24}=\dfrac{7}{6}\)
Vì \(\dfrac{7}{5}>\dfrac{7}{6}\\ \Rightarrow\dfrac{21}{15}>\dfrac{28}{24}\)
a, \(\dfrac{18}{24}\) = \(\dfrac{3}{4}\) \(\dfrac{15}{25}\) = \(\dfrac{3}{5}\)
\(\dfrac{3}{4}\) > \(\dfrac{3}{5}\) vậy \(\dfrac{18}{24}\) > \(\dfrac{15}{25}\)
b, \(\dfrac{21}{15}\) = \(\dfrac{7}{5}\) \(\dfrac{28}{24}\) = \(\dfrac{7}{6}\)
\(\dfrac{7}{5}\) > \(\dfrac{7}{6}\) vậy \(\dfrac{21}{15}\) > \(\dfrac{28}{24}\)
5/7>6/21
18/24>15/25
12/13=1212/1313
\(\dfrac{5}{7}\)>\(\dfrac{6}{21}\)
\(\dfrac{18}{24}\)>\(\dfrac{15}{25}\)
\(\dfrac{12}{13}\)=\(\dfrac{1212}{1313}\)