tính hợp lí
\(\dfrac{18}{37}+\dfrac{8}{24}+\dfrac{19}{37}-1\dfrac{23}{24}+\dfrac{2}{3}\)
TL
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KJ
28 tháng 1 2022 lúc 21:48
Tính giá trị biểu thức:e,dfrac{18}{37}+dfrac{8}{24}+dfrac{19}{37}-1dfrac{23}{24}+dfrac{2}{3}f,left(-2right)^3.left(dfrac{3}{4}-0,25right):left(2dfrac{1}{4}-1dfrac{1}{6}right)g,left(dfrac{2}{5}right)^2+5dfrac{1}{2}.left(4,5-2right)+dfrac{2^3}{left(-4right)}h,dfrac{4}{9}.19dfrac{1}{3}-dfrac{4}{9}.39dfrac{1}{3}i,left(-dfrac{1}{2}right)^2:dfrac{1}{4}-2left(-dfrac{1}{2}right)^2j,125%.left(dfrac{-1}{2}right)^2:left(1dfrac{5}{16}-1,5right)+2008^0k,left(-2right)^3.dfrac{-1}{24}+left(dfrac{4}{3}-1dfrac{5...
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Tính giá trị biểu thức:
\(e,\dfrac{18}{37}+\dfrac{8}{24}+\dfrac{19}{37}-1\dfrac{23}{24}+\dfrac{2}{3}\)
\(f,\left(-2\right)^3.\left(\dfrac{3}{4}-0,25\right):\left(2\dfrac{1}{4}-1\dfrac{1}{6}\right)\)
\(g,\left(\dfrac{2}{5}\right)^2+5\dfrac{1}{2}.\left(4,5-2\right)+\dfrac{2^3}{\left(-4\right)}\)
\(h,\dfrac{4}{9}.19\dfrac{1}{3}-\dfrac{4}{9}.39\dfrac{1}{3}\)
\(i,\left(-\dfrac{1}{2}\right)^2:\dfrac{1}{4}-2\left(-\dfrac{1}{2}\right)^2\)
\(j,125\%.\left(\dfrac{-1}{2}\right)^2:\left(1\dfrac{5}{16}-1,5\right)+2008^0\)
\(k,\left(-2\right)^3.\dfrac{-1}{24}+\left(\dfrac{4}{3}-1\dfrac{5}{6}\right):\dfrac{5}{12}\)
e: \(=\left(\dfrac{18}{37}+\dfrac{19}{37}\right)+\left(\dfrac{8}{24}+\dfrac{2}{3}\right)-\dfrac{47}{24}=2-\dfrac{47}{24}=\dfrac{1}{24}\)
f: \(=-8\cdot\dfrac{1}{2}:\left(\dfrac{9}{4}-\dfrac{7}{6}\right)\)
\(=-4:\dfrac{13}{12}=\dfrac{-48}{13}\)
g: \(=\dfrac{4}{25}+\dfrac{11}{2}\cdot\dfrac{5}{2}-\dfrac{8}{4}=\dfrac{4}{25}+\dfrac{55}{4}-2=\dfrac{1191}{100}\)
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\(\dfrac{19}{37}-\dfrac{31}{24}-\dfrac{-19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}\)
Sửa đề : \(-\dfrac{19}{37}=\dfrac{19}{37}\)
\(\dfrac{19}{37}-\dfrac{31}{24}-\dfrac{19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}\)
\(=\dfrac{19}{37}-\dfrac{31}{24}+\dfrac{19}{37}+\dfrac{31}{24}-\dfrac{2}{13}\)
\(=\left(\dfrac{19}{37}-\dfrac{19}{37}\right)+\left(-\dfrac{31}{24}+\dfrac{31}{24}\right)-\dfrac{2}{13}=-\dfrac{2}{13}\)
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Sửa đề: \(\dfrac{19}{37}-\dfrac{31}{24}+\dfrac{-19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}\)
Ta có: \(\dfrac{19}{37}-\dfrac{31}{24}+\dfrac{-19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}\)
\(=\left(\dfrac{19}{37}+\dfrac{-19}{37}\right)+\left(\dfrac{-31}{24}+1+\dfrac{7}{24}\right)-\dfrac{2}{13}\)
\(=\dfrac{-2}{13}\)
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\(\dfrac{19}{37}-\dfrac{31}{24}-\dfrac{-19}{37}+1\dfrac{7}{24}-\dfrac{2}{13}=\dfrac{19}{37}-\dfrac{31}{24}+\dfrac{19}{37}+\dfrac{31}{24}-\dfrac{2}{13}=\left(\dfrac{19}{37}+\dfrac{19}{37}\right)+\left(\dfrac{-31}{24}+\dfrac{31}{24}\right)-\dfrac{2}{13}=\dfrac{38}{31}+0-\dfrac{2}{13}=\dfrac{122}{403}\)
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tính
\(\dfrac{27}{15}\)+\(\dfrac{6}{8}\)
\(\dfrac{19}{24}\)+\(\dfrac{7}{18}\)
\(\dfrac{2}{9}\)-\(\dfrac{1}{6}\)
\(\dfrac{8}{15}\)-\(\dfrac{1}{3}\)
27/15 + 6/8 =51/20
19/24 + 7/18 = 85/72
2/9 - 1/6 = 1/18
8/15 -1/3 = 1/5
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Bài 2: Tính hợp lý:
\(A=\dfrac{63636337-37373763}{1+2+3+...+2006}\)
\(B=1\dfrac{6}{41}\left(\dfrac{12+\dfrac{12}{19}-\dfrac{12}{37}-\dfrac{12}{53}}{3+\dfrac{1}{3}-\dfrac{3}{37}-\dfrac{3}{53}}:\dfrac{4+\dfrac{4}{17}+\dfrac{4}{19}+\dfrac{4}{2006}}{5+\dfrac{5}{17}+\dfrac{5}{19}+\dfrac{5}{2006}}\right)\dfrac{124242423}{237373735}\)
\(A=\dfrac{636363\cdot37-373737\cdot63}{1+2+3+...+2006}\)
\(=\dfrac{37^2\cdot3^3\cdot7^2\cdot13-37^2\cdot3^3\cdot7^2\cdot13}{\left(2006+1\right)\cdot1003}\)
=0
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\(\dfrac{75}{100}\)-\(\dfrac{17}{25}\)+\(\dfrac{13}{37}\)+\(\dfrac{1}{4}\)-\(\dfrac{8}{25}\)+\(\dfrac{24}{37}\)
\(=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(-\dfrac{17}{25}-\dfrac{8}{25}\right)+\left(\dfrac{13}{37}+\dfrac{24}{37}\right)=1\)
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TD
8 tháng 6 2021 lúc 9:04
Thực hiện dãy tính:
1\(\dfrac{13}{15}\).(0,5)\(^2\)+3.(\(\dfrac{8}{15}\)+1\(\dfrac{19}{60}\)):1\(\dfrac{23}{24}\)
\(1\dfrac{13}{15}\cdot\left(0,5\right)^2+3\cdot\left(\dfrac{8}{15}+1\dfrac{19}{60}\right):1\dfrac{23}{24}\)
\(=\dfrac{28}{15}\cdot\dfrac{1}{4}+3\cdot\left(\dfrac{8}{15}+\dfrac{79}{60}\right):\dfrac{47}{24}\)
\(=\dfrac{7}{15}+3\cdot\dfrac{37}{20}\cdot\dfrac{24}{47}\)
\(=\dfrac{7}{15}+\dfrac{666}{235}=\dfrac{2327}{705}\)
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\(1\dfrac{13}{15}.\left(0,5\right)^2+3.\left(\dfrac{8}{15}+1\dfrac{19}{60}\right):1\dfrac{23}{24}\)
\(=\dfrac{28}{15}.\dfrac{1}{4}+3.\left(\dfrac{8}{15}+\dfrac{79}{60}\right):\dfrac{47}{24}\)
\(=\dfrac{7}{15}+3.\dfrac{37}{20}:\dfrac{47}{24}\)
\(=\dfrac{7}{15}+\dfrac{666}{235}\)
\(=\dfrac{2327}{705}\)
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tính:
dfrac{2}{5}xdfrac{1}{3}-dfrac{2}{15}:dfrac{1}{5}+dfrac{3}{5}xdfrac{1}{3}
2)left(3dfrac{1}{3}+2,5right):left(3dfrac{1}{6}-4dfrac{1}{5}right)-dfrac{11}{31}
3)left[6+left(dfrac{1}{2^{ }}right)^3-left|-dfrac{1}{2}right|right]:dfrac{3}{12}
4)dfrac{18}{37}+dfrac{8}{24}+dfrac{19}{37}-1dfrac{23}{24}+dfrac{2}{3}
5) left(-2right)^3xleft(dfrac{3}{4}-0,25right):left(2dfrac{1}{4}-1dfrac{1}{6}right)
6)left(dfrac{2}{5}right)^2+5dfrac{1}{2}xleft(45-2right)+dfrac{23}{-4}
7)dfrac{4}{9}-19dfrac{1}{3}-...
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tính:
\(\dfrac{2}{5}x\dfrac{1}{3}-\dfrac{2}{15}:\dfrac{1}{5}+\dfrac{3}{5}x\dfrac{1}{3}\)
2)\(\left(3\dfrac{1}{3}+2,5\right):\left(3\dfrac{1}{6}-4\dfrac{1}{5}\right)-\dfrac{11}{31}\)
3)\(\left[6+\left(\dfrac{1}{2^{ }}\right)^3-\left|-\dfrac{1}{2}\right|\right]:\dfrac{3}{12}\)
4)\(\dfrac{18}{37}+\dfrac{8}{24}+\dfrac{19}{37}-1\dfrac{23}{24}+\dfrac{2}{3}\)
5) \(\left(-2\right)^3x\left(\dfrac{3}{4}-0,25\right):\left(2\dfrac{1}{4}-1\dfrac{1}{6}\right)\)
6)\(\left(\dfrac{2}{5}\right)^2+5\dfrac{1}{2}x\left(45-2\right)+\dfrac{23}{-4}\)
7)\(\dfrac{4}{9}-19\dfrac{1}{3}-\dfrac{4}{9}x39\dfrac{1}{3}\)
8)\(\left(-\dfrac{1}{2}\right)^2:\dfrac{1}{4}-2x\left(-\dfrac{1}{2}\right)^2\)
9)\(125\%x\left(-\dfrac{1}{2}\right)^3:\left(1\dfrac{5}{16}-1,5\right)+2008^0\)
giúp mình nha mai mình học rùi 
dài lắm mk ngại viết bạn cứ tính lần lượt là xong ngay
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\(\dfrac{2}{3}\times\dfrac{1}{3}-\dfrac{2}{15}:\dfrac{1}{5}+\dfrac{3}{5}\times\dfrac{1}{3}\)
= \(\dfrac{1}{3}\times\left(\dfrac{2}{3}+\dfrac{3}{5}\right)-\dfrac{2}{3}\)
= \(\dfrac{1}{3}\times\dfrac{19}{15}-\dfrac{2}{3}\)
= \(\dfrac{19}{45}-\dfrac{2}{3}\)
=\(-\dfrac{11}{45}\)
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\(\left(3\dfrac{1}{3}+2,5\right):\left(3\dfrac{1}{6}-4\dfrac{1}{5}\right)-\dfrac{11}{31}\)
(\(\dfrac{10}{3}+\dfrac{5}{2}):\left(3\dfrac{1}{6}-4\dfrac{1}{5}\right)-\dfrac{11}{31}\)
\(\dfrac{35}{6}:\left(\dfrac{19}{6}-\dfrac{21}{5}\right)-\dfrac{11}{31}\)
\(\dfrac{36}{5}:-\dfrac{31}{30}-\dfrac{11}{31}\)
\(-\dfrac{216}{31}\) - \(\dfrac{11}{31}\)
-227/31
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Tìm x \(\in\) Z biết :
a ) \(\dfrac{1}{2}-\) (\(\dfrac{1}{2}-\dfrac{3}{2}\) ) \(\le x\le\dfrac{37}{24}-\left(\dfrac{1}{8}-\dfrac{2}{3}\right)\)
b ) \(\dfrac{-1}{23}+\dfrac{9}{-69}-\dfrac{7}{23}< \dfrac{x}{23}\le\dfrac{2}{46}-\dfrac{8}{23}\)
giúp mình với
a: \(\Leftrightarrow\dfrac{1}{2}-\dfrac{1}{2}+\dfrac{3}{2}\le x\le\dfrac{37}{24}-\dfrac{3-16}{24}=\dfrac{37-3+16}{24}=\dfrac{50}{24}=\dfrac{25}{12}\)
=>3/2<=x<=25/12
mà x là số nguyên
nên x=2
b: \(\Leftrightarrow-\dfrac{1}{23}-\dfrac{3}{23}-\dfrac{7}{23}< x\le\dfrac{1}{23}-\dfrac{8}{23}\)
=>-11<x<=-7
mà x là số nguyên
nên \(x\in\left\{-10;-9;-8;-7\right\}\)
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3. b) 1dfrac{13}{15}.(0,5)2.3+(dfrac{8}{15}-1dfrac{19}{60}):1dfrac{23}{24}
c) (-2)3.dfrac{-1}{24}+(dfrac{4}{5}-1,2):dfrac{2}{15}
d) (dfrac{-2}{5})2+dfrac{1}{2}.(4,5-2)-255
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3. b) \(1\dfrac{13}{15}\).(0,5)2.3+(\(\dfrac{8}{15}\)-\(1\dfrac{19}{60}\)):\(1\dfrac{23}{24}\)
c) (-2)3.\(\dfrac{-1}{24}\)+(\(\dfrac{4}{5}\)-1,2):\(\dfrac{2}{15}\)
d) (\(\dfrac{-2}{5}\))2+\(\dfrac{1}{2}\).(4,5-2)-255