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\(\dfrac{-49}{78}\)<\(\dfrac{0}{78}\)=0=\(\dfrac{0}{-95}\)<\(\dfrac{64}{-95}\)
hông chắc nha :)
b/ sao mà so sánh cùng một lúc bốn phân số được bạn :(
a, Vì \(-\dfrac{1}{2}< 0\) => \(-\dfrac{1}{2}\) là số nhỏ nhất trong 3 số
Ta có: \(\dfrac{4}{9}:\dfrac{3}{7}=\dfrac{4\cdot7}{3\cdot9}=\dfrac{28}{27}>1\)
\(\Rightarrow\dfrac{4}{9}>\dfrac{3}{7}>-\dfrac{1}{2}\)
e, \(\dfrac{3^{10}+1}{3^9+1}\) và \(\dfrac{3^9+1}{3^8+1}\)
Ta có: \(A=\dfrac{3^{10}+1}{3^9+1}>1>\dfrac{3^{10}+1+2}{3^9+1+2}=\dfrac{3^{10}+3}{3^9+3}=\dfrac{3\left(3^9+1\right)}{3\left(3^8+1\right)}\)
\(=\dfrac{3^9+1}{3^8+1}=B\)
\(\Rightarrow A>B\)
Quy đồng ( đây ngu toán không logic )
a)\(\dfrac{3}{6};\dfrac{2}{6};\dfrac{4}{6}\Rightarrow\dfrac{4}{6}>\dfrac{3}{6}>\dfrac{2}{6}\)
b)\(\dfrac{16}{9};\dfrac{24}{13}=\dfrac{208}{117};\dfrac{216}{117}\Rightarrow\dfrac{216}{117}>\dfrac{208}{117}\)
c)(Trời ơi cái đề bài)
h)\(\dfrac{27}{82};\dfrac{26}{75}=\dfrac{2025}{6150};\dfrac{2132}{6150}\Rightarrow\dfrac{2025}{6150}< \dfrac{2132}{6150}\)
d)(Trời ơi giống câu c)
i)\(\dfrac{-49}{78};\dfrac{64}{-95}=\dfrac{-4655}{7410};\dfrac{4992}{7410}\Rightarrow\dfrac{-4655}{7410}< \dfrac{4992}{7410}\)
P/s : Tự kết luận mỗi câu
a,\(\dfrac{1}{2}=\dfrac{1.3}{2.3}=\dfrac{3}{6}\),\(\dfrac{1}{3}=\dfrac{1.2}{3.2}=\dfrac{2}{6}\),\(\dfrac{2}{3}=\dfrac{2.2}{3.2}=\dfrac{4}{6}\)
vì có mẫu chung là 6 nên ta so sánh tử\(\Rightarrow\)ta so sánh 3,2,4
vì 2<3<4\(\Rightarrow\)\(\dfrac{2}{6}< \dfrac{3}{6}< \dfrac{4}{6}\Rightarrow\dfrac{1}{3}< \dfrac{1}{2}< \dfrac{2}{3}\)
a) \(\dfrac{22}{55}=\dfrac{2}{5}\)
b) \(\dfrac{-63}{81}=\dfrac{-7}{9}\)
c) \(\dfrac{2.14}{7.8}=\dfrac{2.7.2}{7.2.2.2}=\dfrac{1}{2}\)
d) \(\dfrac{49+7.49}{49}=\dfrac{49.\left(7+1\right)}{49}=\dfrac{49.8}{49}=8\)
1: \(=\dfrac{15}{37}\cdot\dfrac{38}{41}-\dfrac{15}{37}\cdot\dfrac{74}{45}-\dfrac{38}{41}\cdot\dfrac{15}{37}-\dfrac{38}{41}\cdot\dfrac{82}{76}\)
\(=\dfrac{-2}{3}-1=-\dfrac{5}{3}\)
2: \(=\dfrac{47}{53}\cdot\dfrac{17}{3}-\dfrac{47}{53}\cdot\dfrac{53}{47}+\dfrac{17}{3}\cdot\dfrac{6}{17}-\dfrac{17}{3}\cdot\dfrac{47}{53}\)
\(=-1+2=1\)
\(A=\dfrac{5-\dfrac{5}{29}+\dfrac{5}{41}-\dfrac{5}{2941}}{3-\dfrac{3}{19}+\dfrac{3}{43}-\dfrac{3}{1943}}:\dfrac{4-\dfrac{4}{29}+\dfrac{4}{41}-\dfrac{4}{2941}}{2-\dfrac{2}{19}+\dfrac{2}{43}-\dfrac{2}{1943}}\)
\(=\dfrac{5-\dfrac{5}{29}+\dfrac{5}{41}-\dfrac{5}{2941}}{3-\dfrac{3}{19}+\dfrac{3}{43}-\dfrac{3}{1943}}.\dfrac{2-\dfrac{2}{19}+\dfrac{2}{43}-\dfrac{2}{1943}}{4-\dfrac{4}{29}+\dfrac{4}{41}-\dfrac{4}{2941}}\)
\(=\dfrac{5\left(1-\dfrac{1}{29}+\dfrac{1}{41}-\dfrac{1}{2941}\right)}{3\left(1-\dfrac{1}{19}+\dfrac{1}{43}-\dfrac{1}{1943}\right)}.\dfrac{2\left(1-\dfrac{1}{19}+\dfrac{1}{43}-\dfrac{1}{1943}\right)}{4\left(1-\dfrac{1}{29}+\dfrac{1}{41}-\dfrac{1}{2941}\right)}\)
\(=\dfrac{5}{3}.\dfrac{2}{4}=\dfrac{10}{12}=\dfrac{5}{6}\)
Vì đề bài không yêu cầu tính nên bn có thể không tính ra như mk cux đc!