\(\dfrac{-5}{6}và\dfrac{-91}{104}\)
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a: \(\dfrac{-13}{40}< \dfrac{-12}{40}\)
\(\dfrac{-5}{6}>\dfrac{-91}{104}\)
\(=81.\dfrac{12.\left(1-\dfrac{1}{7}-\dfrac{1}{289}-\dfrac{1}{85}\right)}{4.\left(1-\dfrac{1}{7}-\dfrac{1}{289}-\dfrac{1}{85}\right)}:\dfrac{5.\left(1+\dfrac{1}{13}+\dfrac{1}{169}+\dfrac{1}{91}\right)}{6.\left(1+\dfrac{1}{13}+\dfrac{1}{169}+\dfrac{1}{91}\right)}.\dfrac{158}{711}\)
\(=81.\dfrac{12}{4}:\dfrac{5}{6}.\dfrac{2}{9}\)
\(=243:\dfrac{5}{6}.\dfrac{2}{9}\)
\(=\dfrac{1458}{5}.\dfrac{2}{9}\)
\(=\dfrac{324}{5}\)
a/ \(x-\dfrac{3}{7}=\dfrac{2}{5}\cdot\dfrac{1}{4}\)
\(x-\dfrac{3}{7}=\dfrac{1}{10}\)
\(x=\dfrac{1}{10}+\dfrac{3}{7}=\dfrac{37}{70}\)
Vậy....
b/ \(x+\dfrac{4}{5}=-\dfrac{5}{12}\cdot\dfrac{3}{25}\)
\(x+\dfrac{4}{5}=-\dfrac{1}{20}\)
\(x=-\dfrac{1}{20}-\dfrac{4}{5}=-\dfrac{17}{20}\)
Vậy....
c/ \(\dfrac{x}{182}=-\dfrac{6}{12}\cdot\dfrac{35}{91}\)
\(\dfrac{x}{182}=-\dfrac{5}{26}\)
\(=>x\cdot26=-5\cdot182\)
\(26x=-910\)
\(x=-910:26=-35\)
Vậy....
a) Ta có: \(x-\dfrac{3}{7}=\dfrac{2}{5}\cdot\dfrac{1}{4}\)
\(\Leftrightarrow x-\dfrac{3}{7}=\dfrac{1}{10}\)
\(\Leftrightarrow x=\dfrac{1}{10}+\dfrac{3}{7}=\dfrac{7}{70}+\dfrac{30}{70}\)
hay \(x=\dfrac{37}{70}\)
Vậy: \(x=\dfrac{37}{70}\)
a: =(2/7-2/7)(-4/7-5/9)=0
b:
Sửa đề: 9/13*(-12/17)+9/13*29/27
=9/13(-12/17+29/17)
=9/13*17/17=9/13
c: \(=\dfrac{1}{7}\left(4+\dfrac{6}{7}+\dfrac{8}{7}\right)=\dfrac{1}{7}\cdot6=\dfrac{6}{7}\)
d: =7/10(5/7+9/7+8/7+13/7)
=5*7/10=7/2
Bài 1:
a: Sửa đề: 1/3^200
1/2^300=(1/8)^100
1/3^200=(1/9)^100
mà 1/8>1/9
nên 1/2^300>1/3^200
b: 1/5^199>1/5^200=1/25^100
1/3^300=1/27^100
mà 25^100<27^100
nên 1/5^199>1/3^300
\(-\dfrac{5}{6}=-\dfrac{5.104}{6.104}=-\dfrac{520}{624};-\dfrac{91}{104}=-\dfrac{91.6}{104.6}=-\dfrac{546}{624}\Rightarrow-\dfrac{5}{6}>-\dfrac{91}{104}\)
Ta có:
\(\dfrac{-91}{104}\) rút gọn cho 13 được \(\dfrac{-7}{8}\)
→ \(\dfrac{-5}{6}=\dfrac{-5.4}{6.4}=\dfrac{-20}{24}\)
\(\dfrac{-7}{8}=\dfrac{-7.3}{8.3}=\dfrac{-21}{24}\)
Vì 20 < 21
nên \(\dfrac{-20}{24}>\dfrac{-21}{24}\)
hay \(\dfrac{-5}{6}>\dfrac{-91}{104}\)
Chúc bạn học tốt
Ta có:
\(\dfrac{-5}{6}\times\dfrac{52}{52}=\dfrac{-260}{312}\)
\(\dfrac{-91}{104}\times\dfrac{3}{3}=\dfrac{-273}{312}\)
Vì -260>-273⇒\(\dfrac{-260}{312}>\dfrac{-273}{312}\Rightarrow\dfrac{-5}{6}>\dfrac{-91}{104}\)
Vậy:\(\dfrac{-5}{6}>\dfrac{-91}{104}\)