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71 D
72 A
73 D
74 C
75 B
76 C
77 B
78 C
79 D
80 A
81 C
82 C
83 B
84 D
85 B
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Chúc các bạn thành công trong sự nghiệp của mình nha
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\(\frac{1}{2}+\frac{1}{3}+1,6\)
\(=\frac{1}{2}+\frac{1}{3}+\frac{8}{5}\)
\(=\frac{15}{30}+\frac{10}{30}+\frac{48}{30}\)
\(=\frac{73}{30}\)
#hoktot<3#
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trả lời:
1996 x 1997 + 1998 x 3 + 1994 / 1997 x 1999 - 1997 x 1997
= 1996 x 1997 + ( 1997 + 1 x 3 ) + 1994 / 1997 x 1999 - 1997 x 1997
= 1996 x 1998 + 1 x 3 + 1994 / 1997 x 1999 - 1997 x 1997
= 3988008 + 3 + 1994 / 1997 x 1999 - 1997 x 1997
= 3990005 / 1997 x 1999 - 1997 x 1997
= 3990005 / ( 1999 - 1997 ) x 1997
= 3990005 / 3994
Bài làm:
\(\frac{1997.1996+1998.3+1944}{1994.1999-1997.1994}\)
\(=\frac{1997.1996+\left(1997+1\right).3+1994}{1994.\left(1999-1997\right)}\)
\(=\frac{1997.1996+1997.3+3+1994}{1994.2}\)
\(=\frac{1997.\left(1996+3\right)+1997}{1994.2}\)
\(=\frac{1997.\left(1999+1\right)}{1994.2}\)
\(=\frac{1997.2000}{1994.2}\)
\(=\frac{998500}{997}\)
Hc tốt!
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Đặt \(\frac{a}{b}=\frac{c}{d}=k\Rightarrow a=bk,c=dk\)
Ta có: \(\frac{a-b}{a}=\frac{bk-b}{bk}=\frac{b\left(k-1\right)}{bk}=\frac{k-1}{k}\)(1)
\(\frac{c-d}{c}=\frac{dk-d}{dk}=\frac{d\left(k-1\right)}{dk}=\frac{k-1}{k}\)(2)
Từ (1) và (2) \(\Rightarrow\frac{a-b}{a}=\frac{c-d}{c}\)
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\(\Leftrightarrow x\left(\dfrac{1}{2}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{14}\right)=\dfrac{1}{21}\)
\(\Leftrightarrow x\cdot\dfrac{2}{7}=\dfrac{1}{21}\)
hay \(x=\dfrac{1}{21}:\dfrac{2}{7}=\dfrac{1}{6}\)
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Bài 1:
a) \(\frac{-5}{21}+\frac{-2}{21}+\frac{8}{24} \)
\(=\frac{-7}{21}+\frac{1}{3}\)
\(=\frac{-1}{3}+\frac{1}{3}\)
\(=0\)
b) \(\frac{-3}{5}.\frac{2}{7}+\frac{-3}{5}.\frac{5}{7}+2\frac{3}{5}\)
\(=\frac{-3}{5}.\left(\frac{2}{7}+\frac{5}{7}\right)+\frac{13}{5}\)
\(=\frac{-3}{5}.1+\frac{13}{5}\)
\(=\frac{-3}{5}+\frac{13}{5}\)
\(=\frac{10}{5}\)
\(=2\)
c) \(75\%-1\frac{1}{2}+0,5\div\frac{5}{12}-\left(-\frac{1}{2}\right)^2\)
\(=\frac{3}{4}-\frac{3}{2}+\frac{1}{2}.\frac{12}{5}-\frac{1}{4}\)
\(=\frac{3}{4}-\frac{3}{2}+\frac{6}{5}-\frac{1}{4}\)
\(=\frac{3}{4}+\frac{-3}{2}+\frac{6}{5}+\frac{-1}{4}\)
\(=\left(\frac{3}{4}+\frac{-1}{4}\right)+\frac{-3}{2}+\frac{6}{5}\)
\(=\frac{1}{2}+\frac{-3}{2}+\frac{6}{5}\)
\(=-1+\frac{6}{5}\)
\(=\frac{-5}{5}+\frac{6}{5}\)
\(=\frac{1}{5}\)
Bài 2:
a) \(1\frac{1}{3}+\frac{2}{3}x=5\frac{1}{3}\)
\(\frac{4}{3}+\frac{2}{3}x=\frac{16}{3}\)
\(\frac{2}{3}x=\frac{16}{3}-\frac{4}{3}\)
\(\frac{2}{3}x=4\)
\(x=4\div\frac{2}{3}\)
\(x=4.\frac{3}{2}\)
\(x=6\)
Vậy \(x=6\)
b) \(\left(x+\frac{1}{3}\right)\left(\frac{3}{4}-2x\right)=0\)
TH1: \(x+\frac{1}{3}=0\)
\(x=0-\frac{1}{3}\)
\(x=\frac{-1}{3}\)
TH2 : \(\frac{3}{4}-2x=0\)
\(2x=\frac{3}{4}-0\)
\(2x=\frac{3}{4}\)
\(x=\frac{3}{4}\div2\)
\(x=\frac{3}{4}.\frac{1}{2}\)
\(x=\frac{3}{8}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-1}{3}\\x=\frac{3}{8}\end{cases}}\)
c) \(\frac{-4}{5}x+1\frac{1}{3}x=-1\frac{1}{3}\)
\(\frac{-4}{5}x+\frac{4}{3}x=\frac{-4}{3}\)
\(\left(\frac{-4}{5}+\frac{4}{3}\right).x=\frac{-4}{3}\)
\(\frac{8}{15}.x=\frac{-4}{3}\)
\(x=\frac{-4}{3}\div\frac{8}{15}\)
\(x=\frac{-4}{3}.\frac{15}{8}\)
\(x=\frac{-5}{2}\)
Vậy \(x=\frac{-5}{2}\)