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\(\dfrac{2}{67}-\left(\dfrac{3}{7}+\dfrac{2}{67}\right)\\ =\dfrac{2}{67}-\dfrac{215}{469}\\ =\dfrac{-3}{7}\)
a)
\(-12:\left(\dfrac{3}{4}-\dfrac{5}{6}\right)^2\)
\(=-12:\left(\dfrac{18}{24}-\dfrac{20}{24}\right)^2\)
\(=-12:\left(\dfrac{-1}{12}\right)^2\)
\(=-12:\dfrac{1}{144}\)
\(=-12\times\dfrac{144}{1}\)
\(=-1728\)
b)
\(\left(2^2:\dfrac{4}{3}-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)
\(=\left(4\times\dfrac{3}{4}-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)
\(=\left(3-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)
\(=\dfrac{5}{2}\times\dfrac{6}{5}-17\)
\(=3-17\)
\(=-14\)
a)\(=-12:\left(-\dfrac{1}{12}\right)^2\)
\(=-12:\dfrac{1}{144}\)\(=-12.144=-1728\)
b)\(=\left(8:\dfrac{4}{3}-\dfrac{1}{2}\right).\dfrac{6}{5}-17\)
\(=\left(6-\dfrac{1}{2}\right).\dfrac{6}{5}-17\)
\(=\dfrac{11}{2}.\dfrac{6}{5}-17=\dfrac{33}{5}-17=\dfrac{33}{5}-\dfrac{85}{5}=-\dfrac{2}{5}\)
\(\frac{3}{5}.\left(\frac{5}{3}-\frac{2}{7}\right)-\left(\frac{7}{3}-\frac{3}{7}\right).\frac{3}{5}\)
\(=\frac{3}{5}.\text{[}\left(\frac{5}{3}-\frac{2}{7}\right)-\left(\frac{7}{3}-\frac{3}{7}\right)\text{]}\)
\(=\frac{3}{5}.\text{[}\frac{5}{3}-\frac{2}{7}-\frac{7}{3}+\frac{3}{7}\text{]}\)
\(=\frac{3}{5}.\text{[}\left(\frac{5}{3}-\frac{7}{3}\right)-\left(\frac{2}{7}-\frac{3}{7}\right)\text{]}\)
\(=\frac{3}{5}.\text{[}\frac{-2}{3}-\frac{-1}{7}\text{]}\)
\(=\frac{3}{5}.\left(\frac{-2}{3}+\frac{1}{7}\right)\)
\(=\frac{3}{5}.\left(\frac{-14}{21}+\frac{3}{21}\right)\)
\(=\frac{3}{5}.\frac{-11}{21}\)
\(=\frac{3.\left(-11\right)}{5.21}\)
\(=\frac{-11}{5.7}=\frac{-11}{35}\)
Chúc bạn học tốt
Bài 1:
$0,2-\frac{4}{7}+\frac{-6}{5}=\frac{1}{5}+\frac{-6}{5}-\frac{4}{7}$
$=\frac{-5}{5}-\frac{4}{7}=-1-\frac{4}{7}=\frac{-11}{7}$
b.
$=(\frac{-2}{3})^2+\frac{5}{6}+(-1)=\frac{4}{9}+\frac{5}{6}-1$
$=\frac{8}{18}+\frac{15}{18}-1=\frac{23}{18}-1=\frac{5}{18}$
c.
$=1+3+5+7+9=25$
Bài 2:
a. $-(0,5+x)-\frac{1}{3}=\frac{1}{6}$
$-(0,5+x)=\frac{1}{3}+\frac{1}{6}=\frac{1}{2}$
$0,5+x=\frac{-1}{2}$
$x=\frac{-1}{2}-0,5=-1$
b.
$(x+\frac{4}{9})(x-\frac{11}{5})=0$
$\Rightarrow x+\frac{4}{9}=0$ hoặc $x-\frac{11}{5}=0$
$\Rightarrow x=\frac{-4}{9}$ hoặc $x=\frac{11}{5}$
c.
$\frac{1}{3}-|\frac{5}{4}-2x|=\frac{1}{4}$
$|\frac{5}{4}-2x|=\frac{1}{3}-\frac{1}{4}=\frac{1}{12}$
$\Rightarrow \frac{5}{4}-2x=\frac{1}{12}$ hoặc $\frac{5}{4}-2x=\frac{-1}{12}$
$\Rightarrow x=\frac{1}{2}(\frac{5}{4}-\frac{1}{12})$ hoặc $x=\frac{1}{2}(\frac{5}{4}+\frac{1}{12})$
$\Rightarrow x=\frac{7}{12}$ hoặc $x=\frac{2}{3}$
b) = \(\frac{3}{4}\div\)\(\left(-\frac{1}{3}+\frac{2}{3}+\frac{1}{2}\right)\)
= \(\frac{3}{4}\div\frac{5}{6}\)
= \(\frac{9}{10}\)
c) \(\frac{16.2^3}{4}\)
\(=4.8=32\)
\(a)\left|-\frac{1}{2}\right|+3^0+\frac{1}{4}+4+2021^0.\)
\(=\frac{1}{2}+1+\frac{1}{4}+4+1\)
\(=\left(\frac{1}{2}+\frac{1}{4}\right)+\left(1+4+1\right)\)
\(=\frac{3}{4}+6=\frac{27}{4}\)
\(b)\frac{3}{4}\div\left(-\frac{1}{3}\right)+\frac{3}{4}\div\frac{2}{3}+\frac{3}{4}\div\frac{1}{2}\)
\(=\frac{3}{4}\div\left(-\frac{1}{3}+\frac{2}{3}+\frac{1}{2}\right)\)
\(=\frac{3}{4}\div\frac{5}{6}=\frac{9}{10}\)
`1+1/3=4/3`
`=>1/(1+1/3)=1:4/3=3/4`
`=>B=(1-1/3+3/4)/(1-1/3-3/4)`
`=(2/3+3/4)/(2/3-3/4)`
`=17/12:(-1/12)`
`=-17`