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câu
a= -1
b=(3/5-3/4):25%
=-3/20:25%
=-0,6
c)(3/4+-14/4).8/11
=-11/4.8/11= -2
d) -3/7.(2/11+9/11).10/7
=1
Câu 5 :
\(A=\frac{1}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{2009.2011}\right)\)
\(A=\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{2009}-\frac{1}{2011}\right)\)
\(A=\frac{1}{2}.\left(1-\frac{1}{2011}\right)\)
\(A=\frac{1}{2}.\frac{2010}{2011}\)
\(A=\frac{1005}{2011}\)
\(A=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{2009.2011}\)
\(\Leftrightarrow2A=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{2009.2011}\)
\(\Leftrightarrow2A=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2009}-\frac{1}{2011}\)
\(\Leftrightarrow2A=1-\frac{1}{2011}\)
\(\Leftrightarrow2A=\frac{2010}{2011}\)
\(\Leftrightarrow A=\frac{2010}{2011}\div2\)
\(\Leftrightarrow A=\frac{2010}{2011}\times\frac{1}{2}\)
\(\Leftrightarrow A=\frac{1005}{2011}\)
Làm bài 6 thôi nhé =)))
6. Số học sinh lớp 6A tương ứng với phân số 1/1 = 1
=> số học sinh trung bình ứng với phân số là: 1 - 1/3 - 2/5 = 4/15
Số học sinh lớp 6A có là: 12 : 4/15 = 45 (em)
Đ/s:..
1/ Các ước nguyên của 5 là: -5; -1; 1; 5
2/ Ta có: \(\frac{3}{20}=\frac{3}{2}.\frac{1}{10}=\frac{3}{2}.\frac{10}{100}=3.5.\frac{1}{100}=15.\frac{1}{100}\)
=> \(\frac{3}{20}=15\%\)
3/
a/ 2.x-2005=1945 => 2x=2005+1995 => 2x=3950
=> x=3950:2
=> x=1975
b/ \(\frac{3}{10}.x=\frac{3}{5}\)
=> \(x=\frac{3}{5}:\frac{3}{10}\) => \(x=\frac{3}{5}.\frac{10}{3}\)
=> x=2
4/ (-16).67+33.(-16)=(-16)(67+33)=(-16).100=-1600
Bài 1 : Tính :
a, \(-\frac{8}{3}.\frac{6}{13}.\frac{7}{13}.\frac{-3}{8}+1\frac{3}{8}\)
\(=\left(-\frac{8}{3}.-\frac{3}{8}\right).\left(\frac{6}{13}.\frac{7}{13}\right)+1\frac{3}{8}\)
\(=1.\frac{42}{169}+1\frac{3}{8}\)
\(=\frac{2195}{1352}\)
b) \(75\%-\left(\frac{5}{2}+\frac{5}{3}\right)+\left(-\frac{1}{2}\right)^2\)
\(=\frac{3}{4}-\frac{25}{6}+\frac{1}{4}\)
\(=\frac{3}{4}+\frac{1}{4}-\frac{25}{6}\)
\(=1-\frac{25}{6}\)
\(=-\frac{19}{6}\)
~Hok tốt~
Bài 2 :
a)\(\frac{3}{5}.x-\frac{2}{3}=\frac{1}{2}\) b) \(\left(\frac{1}{2}-x\right).\frac{2}{3}=\frac{1}{8}\)
\(\frac{3}{5}.x=\frac{1}{2}+\frac{2}{3}\) \(\frac{1}{2}-x=\frac{1}{8}:\frac{2}{3}\)
\(\frac{3}{5}.x=\frac{7}{6}\) \(\frac{1}{2}-x=\frac{3}{16}\)
\(x=\frac{7}{6}:\frac{3}{5}\) \(x=\frac{1}{2}-\frac{3}{16}\)
\(x=\frac{35}{18}\) \(x=\frac{5}{16}\)
c) \(\left|2x-\frac{3}{7}\right|-\frac{1}{2}=\frac{3}{4}\)
\(\left|2x-\frac{3}{7}\right|=\frac{3}{4}+\frac{1}{2}\)
\(\left|2x-\frac{3}{7}\right|=\frac{5}{4}\)
\(\Rightarrow2x-\frac{3}{7}\in\left\{\frac{5}{4};-\frac{5}{4}\right\}\)
\(TH1:2x-\frac{3}{7}=\frac{5}{4}\) \(TH2:2x-\frac{3}{7}=-\frac{5}{4}\)
\(\Rightarrow2x=\frac{5}{4}+\frac{3}{7}\) \(\Rightarrow2x=-\frac{5}{4}+\frac{3}{7}\)
\(2x=\frac{47}{28}\) \(2x=-\frac{23}{28}\)
\(x=\frac{47}{28}:2\) \(2x=-\frac{23}{28}:2\)
\(x=\frac{47}{56}\) \(2x=-\frac{23}{56}\)
\(\Rightarrow x\in\left\{\frac{47}{56};-\frac{23}{56}\right\}\)
câu 1:
a 3/11 - 7/11 + 2/11 = 3 - 7 + 2 / 11
= -5 + 2/11
= -3/11
b 7/15 - 2/3 = 7/15 - 10/15
= -1/5
c 3/5.9/11 + 3/5.2/11 - 2 1/2
= 3/5.9/11 + 3/5.2/11 - 5/2
= 3/5.( 9/11 + 2/11 - 5/2 )
= 3/5.( 1 - 5/2 )
= 3/5 . -3/2
= -9/10
câu 2
a. x + 75% = 5/12
x + 3/4 = 5/12
x = 5/12 - 3/4
x = -1/3
vậy x = -1/3
b.| x - 7/15 | = 3/10
x - 7/15 = 3/10 => x = 3/10 + 7/15 => x = 23/30
x - 7/15 = -3/10 => x = -3/10 + 7/15 => x = 1/6
vậy x = 23/30 hoặc 1/6
tk mk nhé mk làm đc nửa bài rùi
Câu 1 :
a) \(\frac{3}{11}-\frac{7}{11}+\frac{2}{11}=\frac{-4}{11}+\frac{2}{11}=\frac{-2}{11}\)
b) \(\frac{7}{15}+\frac{2}{3}=\frac{7}{15}+\frac{10}{15}=\frac{17}{15}\)
c) \(\frac{3}{5}.\frac{9}{11}+\frac{3}{5}.\frac{2}{11}-2\frac{1}{2}\)
\(=\left(\frac{3}{5}.\frac{9}{11}+\frac{3}{5}.\frac{2}{11}\right)-\frac{5}{2}\)
\(=\frac{3}{5}.\left(\frac{9}{11}+\frac{2}{11}\right)-\frac{5}{2}\)
\(=\frac{3}{5}.1-\frac{5}{2}\)
\(=\frac{3}{5}-\frac{5}{2}=\frac{6}{10}-\frac{25}{10}=\frac{-19}{10}=-1\frac{9}{10}\)
Câu 2 :
a) \(x+75\%=\frac{5}{12}\)
\(x+\frac{3}{4}=\frac{5}{12}\)
\(x=\frac{5}{12}-\frac{3}{4}\)
\(x=\frac{5}{12}-\frac{9}{12}=\frac{-4}{12}=\frac{-1}{3}\)
Vậy : \(x=\frac{-1}{3}\)
Câu 3 :
Giải :
Số HS trung bình là :
\(48.\frac{5}{12}=20\left(HS\right)\)
Số HS còn lại là :
\(48-20=28\)\(\left(HS\right)\)
Số HS khá là :
\(28.\frac{4}{7}=16\left(HS\right)\)
Số HS giỏi là :
\(28-16=12\left(HS\right)\)
Đ/S : 12 Học sinh