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`75/20 - x = 3/2 xx 10`
`15/4 - x = 15`
`x = 15/4 - 15`
`x = -45/4`
`(12 xx 15) - X xx 1/4 = 120 xx 1/4`
`180 - X xx 1/4 = 30`
`X xx 1/4 = 180-30`
`X xx 1/4 = 150`
`X = 150 : 1/4`
`X = 600`
\(\dfrac{15}{4}-x=15\)
\(x=\dfrac{15}{4}-15\)
\(x=-\dfrac{45}{4}\)
\(\left(12\times15\right)-\dfrac{1}{4}x=120\times\dfrac{1}{4}\)
\(180-\dfrac{1}{4}x=30\)
\(-\dfrac{1}{4}x=30-180\)
\(-\dfrac{1}{4}x=-150\)
\(-x=-150:\dfrac{1}{4}\)
\(-x=-150\times4\)
\(-x=-600\)
\(x=600\)
\(\frac{2}{3}\)x \(\frac{5}{8}\)x \(\frac{8}{15}\)= \(\frac{2}{3}\)x \(\frac{1}{15}\)= \(\frac{2}{45}\)
\(\frac{22}{5}\)x \(12\)x \(\frac{20}{40}\)= \(\frac{22}{5}\)x \(12\)x \(\frac{1}{2}\)= \(\frac{22}{5}\)x 6 = \(\frac{122}{5}\)
\(\frac{7}{2}\)x \(\frac{26}{7}\)x \(\frac{4}{13}\)= \(\frac{91}{7}\)x \(\frac{4}{13}\)
A) \(2x+12=36\)
\(\Leftrightarrow2x=36-12\)
\(\Leftrightarrow2x=24\)
\(\Leftrightarrow x=12\)
B) \(\left(x+21\right):8+12=20\)
\(\Leftrightarrow\left(x+21\right):8=20-12\)
\(\Leftrightarrow\left(x+21\right):8=8\)
\(\Leftrightarrow x+21=64\)
\(\Leftrightarrow x=43\)
C) \(\frac{1}{2}+\frac{3}{4}x=\frac{3}{2}\)
\(\Leftrightarrow\frac{3}{4}x=\frac{3}{2}-\frac{1}{2}\)
\(\Leftrightarrow\frac{3}{4}x=1\)
\(\Leftrightarrow x=\frac{4}{3}\)
Ta thấy
\(\dfrac{1}{4\times6}=\dfrac{1}{4\times3\times1\times2}=\dfrac{1}{4\times3}\times\dfrac{1}{1\times2}\)
\(\dfrac{1}{8\times9}=\dfrac{1}{4\times2\times3\times3}=\dfrac{1}{4\times3}\times\dfrac{1}{2\times3}\)
.....................
\(\dfrac{1}{2680\times2013}=\dfrac{1}{4\times670\times3\times671}=\dfrac{1}{4\times3}\times\dfrac{1}{670\times671}\)
Vì \(\dfrac{1}{4\times6}+\dfrac{1}{8\times9}+...+\dfrac{1}{2680\times2013}\)
=> \(\dfrac{1}{4\times3}\times\dfrac{1}{1\times2}+\dfrac{1}{4\times3}\times\dfrac{1}{2\times3}+.....+\dfrac{1}{4\times3}\times\dfrac{1}{670\times671}\)
=> \(\dfrac{1}{4\times3}\times\left(\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+...+\dfrac{1}{670\times671}\right)\)
=> \(\dfrac{1}{12}\times\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+....+\dfrac{1}{670}-\dfrac{1}{671}\right)\)
=> \(\dfrac{1}{12}\times\left(1-\dfrac{1}{671}\right)\)
=> \(\dfrac{1}{12}\times\dfrac{670}{671}=\dfrac{335}{4026}\)
bn xem lại đề nhé
\(\dfrac{1}{2680\times20}\) thì ko ra công thức đc
3*x + 2*x + x =12*5 + 12*4 + 12
3*x +2*x + x = 12*(5 + 4 +1)
3*x + 2*x + x = 12*10
3*x + 2*x + x = 120
x*(3 +2 + 1) = 120
x*6 = 120
x = 120 : 6
x = 20
\(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{x\left(x+1\right)}=\frac{2011}{4026}\)
=> \(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+...+\frac{1}{x\left(x+1\right)}=\frac{2011}{4026}\)
=> \(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{2011}{4026}\)
=> \(\frac{1}{2}-\frac{1}{x+1}=\frac{2011}{4026}\)
=> \(\frac{1}{x+1}=\frac{1}{2}-\frac{2011}{4026}=\frac{1}{2013}\)
=> x + 1 = 2013 => x = 2012
Trả lời:
\(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{x.\left(x+1\right)}=\frac{2011}{4026}\)
\(\Leftrightarrow\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{x.\left(x+1\right)}=\frac{2011}{4026}\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{2011}{4026}\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{2011}{4026}\)
\(\Leftrightarrow\frac{1}{x+1}=\frac{1}{2013}\)
\(\Leftrightarrow x+1=2013\)
\(\Leftrightarrow x=2012\)
Vậy \(x=2012\)
a. 12,5 - \(x\) = \(x\) + 12
\(x\) + 12 + \(x\) = 12,5
\(x\) x 1 + \(x\) x 1 = 12,5 - 12
\(x\) x (1 + 1) = 0,5
\(x\) x 2 = 0,5
\(x\) = 0,5 : 2
\(x\) = 0,25
b, 8 \(\times\) \(x\) + 3 \(\times\) \(x\) + 2 \(\times\) \(x\) = 20
\(x\) \(\times\) (8 + 3 + 2) =20
\(x\) \(\times\) 13 = 20
\(x\) = 20 : 13
\(x\) = \(\dfrac{20}{13}\)
6 2/7 + 7 3/5 + 8 6/9 + 9 1/4 + 2/5 + 5/7 + 1/3 x 3/4 + 1967
= 44/7 + 38/5 + 78/9 + 37/4 + 2/5 + 5/7 + 1/3 + 1967
= ( 44/7 + 5/7 ) + ( 38/5 + 2/5 ) + ( 26/3 + 1/3 ) + ( 37/4 + 3/4 ) +1967
= 7 + 8 + 9 + 10 + 1967
= 15 + 9 + 10 + 1967
= 24 + 10 + 1967
= 34 + 1967
= 2001
x = 12 : ( 20 : 4 )
x = 12 / 5 = 2,4
Khi nào rảnh vào kênh H-EDITOR xem vid nha!!! Thanks!
X nhân 4=20 nhân 12
X nhÂN 4=240
X =240:4
X = 60
HT