Thực hiện phép tính(hợp lý nếu có thể):
20\(\dfrac{\text{2}}{\text{5}}\) : \(\dfrac{\text{5}}{\text{6}}\) - 35\(\dfrac{\text{2}}{\text{3}}\) : \(\dfrac{\text{5}}{\text{6}}\) -|-\(\dfrac{\text{3}}{\text{4}}\)|
Thực hiện phép tính (hợp lý nếu có thể):
\(\dfrac{\text{1}}{\text{2}}\). (\(\dfrac{\text{4}}{\text{3}}\) + \(\dfrac{\text{2}}{\text{5}}\text{ }\)) - \(\dfrac{\text{3}}{\text{4}}\text{ }\). (\(\dfrac{\text{8}}{\text{9}}\) + \(\dfrac{\text{16}}{\text{3}}\))
\(=\dfrac{2}{3}+\dfrac{1}{5}-\dfrac{2}{3}-4\)
\(=\dfrac{1}{5}-4=\dfrac{-19}{5}\)
\(\text{Thực hiện phép tính một cách hợp lý nhất (nếu có thể):}\)
\(1\)) \(\left(\dfrac{-8}{13}:\dfrac{3}{7}+\dfrac{-5}{13}:\dfrac{3}{7}\right).\dfrac{\left(-4\right)^3.\left|-3\right|}{7}\)
\(2\)) \(75\)\(\text{%}\)\(-\left(\dfrac{5}{2}+\dfrac{5}{3}\right)+\left(-\dfrac{1}{2}\right)^2\)
Giải:
1) (-8/13:3/7+-5/13:3/7).(-4)3.|-3|/7
=[7/3.(-8/13+-5/13)].-192/7
=[7/3.(-1)].-192/7
=-7/3.-192/7
=64
2) 75%-(5/2+5/3)+(-1/2)2
=3/4-25/6+1/4
=(3/4+1/4)-25/6
=1-25/6
=-19/6
Chúc bạn học tốt!
1) \(\left(\dfrac{-8}{13}:\dfrac{3}{7}+\dfrac{-5}{13}:\dfrac{3}{7}\right).\dfrac{\left(-4\right).|-3|}{7}\)
= \(\left[\left(\dfrac{-8}{13}+\dfrac{-5}{13}\right):\dfrac{3}{7}\right].\dfrac{-64.3}{7}\)
= \(\left[-1:\dfrac{3}{7}\right].\dfrac{-192}{7}\)
= \(\dfrac{-7}{3}.\dfrac{-192}{7}\)
= \(64\)
2) \(75\%-\left(\dfrac{5}{2}+\dfrac{5}{3}\right)+\left(-\dfrac{1}{2}\right)^2\)
= \(\dfrac{3}{4}-\dfrac{25}{6}+\dfrac{1}{4}\)
= \(\left(\dfrac{3}{4}+\dfrac{1}{4}\right)-\dfrac{25}{6}\)
= \(1-\dfrac{25}{6}\)
= \(\dfrac{-19}{6}\)
Chúc bạn học tốt !
\(\dfrac{\text{3}}{17}\text{+}\dfrac{\text{\text{-}5}}{\text{1}\text{3}}\text{+}\dfrac{\text{1}\text{8}}{\text{3}\text{5}}\text{+}\dfrac{\text{14}}{\text{17}}\text{+}\dfrac{\text{17}}{\text{\text{-}35}}\text{+}\dfrac{\text{ }\text{-}\text{8}}{\text{\text{1}\text{3}}}\)=?
\(\dfrac{\text{\text{ }\text{-}\text{3}}}{\text{8}}\text{+}\dfrac{\text{1}\text{2}}{\text{25}}\text{+}\dfrac{\text{5}}{\text{-8}}\text{+}\dfrac{\text{2}}{\text{-5}}\text{+}\dfrac{\text{1}\text{3}}{\text{25}}\text{=}\text{?}\)\(\text{ }\text{(}\dfrac{\text{9}}{\text{1}\text{6}}\text{+}\dfrac{\text{8}}{\text{-27}}\text{)}\text{+}\text{(}\text{1}\text{+}\dfrac{\text{7}}{\text{16}}\text{+}\dfrac{\text{-}\text{1}\text{9}}{\text{27}}\text{=}\text{?}\)
\(\dfrac{\text{4}\text{2}}{\text{46}}\text{+}\dfrac{\text{2}\text{5}\text{0}}{\text{2}\text{8}\text{6}}\dfrac{\text{-}\text{2}\text{1}}{\text{2}\text{3}\text{2}}\text{+}\dfrac{\text{-}\text{143143}}{\text{143143}}\text{=}\text{?}\)
Mọi người giúp mình với mình sắp thi rồi còn 1 ngãy nữa thôi
1) giải phương trình:
a. \(\dfrac{1}{x-5}-\dfrac{3}{x^2-6\text{x}+5}=\dfrac{5}{x-1}\)
b. \(\dfrac{x+5}{x-5}-\dfrac{x-5}{x+5}=\dfrac{20}{x^2-25}\)
c.\(\dfrac{x}{\left(2\text{x}-3\right)}+\dfrac{x}{2\text{x}+2}=\dfrac{2\text{x}}{\left(x+1\right)\left(x-3\right)}\)
d.\(\dfrac{x-1}{x+2}-\dfrac{x}{x-2}=\dfrac{5\text{x}-2}{4-x^2}\)
e. \(\dfrac{1-6\text{x}}{x-2}+\dfrac{9\text{x}+4}{x+2}=\dfrac{x\left(3\text{x}-2\right)+1}{x^2-4}\)
a,\(\dfrac{1}{7}\text{x}\dfrac{2}{7}+\dfrac{1}{7}\text{x}\dfrac{5}{7}+\dfrac{6}{7}\) b,\(\dfrac{6}{11}\text{x}\dfrac{4}{9}+\dfrac{6}{11}\text{x}\dfrac{7}{9}-\dfrac{6}{11}\text{x}\dfrac{2}{9}\)
c, \(\dfrac{4}{25}\text{x}\dfrac{5}{8}\text{x}\dfrac{25}{4}\text{x}24\)
`a)1/7xx2/7+1/7xx5/7+6/7`
`=1/7xx(2/7+5/7)+6/7`
`=1/7xx1+6/7`
`=1/7+6/7=1`
`b)6/11xx4/9+6/11xx7/9-6/11xx2/9`
`=6/11xx(4/9+7/9-2/9)`
`=6/11xx9/9`
`=6/11`
Sorry nãy ghi thiếu.
`c)4/25xx5/8xx25/4xx24`
`=(4xx5xx25xx24)/(25xx8xx4)`
`=(4xx5xx24)/(4xx8)`
`=(5xx24)/8`
`=5xx3=15`
a, \(\dfrac{1}{7}.\dfrac{2}{7}+\dfrac{1}{7}.\dfrac{5}{7}+\dfrac{6}{7}\)
\(=\dfrac{1}{7}.\left(\dfrac{2}{7}+\dfrac{5}{7}\right)+\dfrac{6}{7}\)
\(=\dfrac{1}{7}.1+\dfrac{6}{7}\)
\(=\dfrac{1}{7}+\dfrac{6}{7}=1\)
b, \(\dfrac{6}{11}.\dfrac{4}{9}+\dfrac{6}{11}.\dfrac{7}{9}-\dfrac{6}{11}.\dfrac{2}{9}\)
\(=\dfrac{6}{11}.\left(\dfrac{4}{9}+\dfrac{7}{9}-\dfrac{2}{9}\right)\)
\(=\dfrac{6}{11}.1=\dfrac{6}{11}\)
c, \(\dfrac{4}{25}.\dfrac{5}{8}.\dfrac{25}{4}.24\)
\(=\left(\dfrac{4}{25}.\dfrac{25}{4}\right).\left(\dfrac{5}{8}.24\right)\)
\(=1.15=15\)
rút gọn các biểu thức sau
\(B=\dfrac{3\text{x}^2+6\text{x}+12}{x^3-8\dfrac{ }{ }}\)
C=\(\left(\dfrac{x+1}{2\text{x}-2}+\dfrac{3}{x^2-1}-\dfrac{x+3}{2\text{x}+2}\right).\dfrac{4\text{x}^2-4}{5}\)
E=\(\dfrac{x^2-10\text{x}+25}{x^2-5\text{x}}\)
c: \(E=\dfrac{\left(x-5\right)^2}{x\left(x-5\right)}=\dfrac{x-5}{x}\)
\(a.\dfrac{4}{\text{√ }3+1}-\dfrac{5}{\text{√ }3-2}+\dfrac{6}{3-\text{√ }3}\)
b.√ 2x - √ 8x+\(\dfrac{1}{2}\text{√ }2x=2\)
a: \(=2\sqrt{3}-2+10+5\sqrt{3}+3+\sqrt{3}=8\sqrt{3}+11\)
Tính bằng cách thuận tiện nhất:
\(\left(1-\dfrac{1}{2}\right)\text{× }\left(1-\dfrac{1}{3}\right)\text{ × }\left(1-\dfrac{1}{4}\right)\text{ × }\left(1-\dfrac{1}{5}\right)\text{}\text{}\text{× }\left(1-\dfrac{1}{6}\right)\)
Lời giải:
Gọi tích trên là $A$. Ta có:
$A=\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times \frac{4}{5}\times \frac{5}{6}$
$=\frac{1\times 2\times 3\times 4\times 5}{2\times 3\times 4\times 5\times 6}=\frac{1}{6}$
Tìm số thập phân x biết:
a) \(^{\text{x}}\)\(^{ }\)+ \(\dfrac{3}{4}\)= \(\dfrac{4}{5}\) | b) \(^{\text{x}}\) - \(\dfrac{1}{2}\) = \(\dfrac{5}{8}\) | c) \(^{\text{x}}\) x \(\dfrac{5}{6}\) = \(\dfrac{4}{5}\) | d)\(^{\text{x}}\) : \(\dfrac{5}{8}\) = \(\dfrac{1}{25}\) |
a) \(x=0,05\)
b) \(x=1,125\)
c) \(x=0,96\)
d) \(x=0,025\)
Bạn tự làm đi dễ mà . Cố mag vận động đầu óc đừng copy làm bài nữa khó lắm mới hỏi thôi