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Bài làm

     \(\frac{2}{3}.\frac{7}{15}-\frac{2}{3}.\frac{5}{27}\)

\(=\frac{2}{3}.\left(\frac{7}{15}-\frac{5}{27}\right)\)

\(=\frac{2}{3}.\left(\frac{63}{135}-\frac{25}{135}\right)\)

\(=\frac{2}{3}.\frac{38}{135}\)

\(=\frac{76}{405}\)

~ Nếu rút gọn đc rút hộ ~

        \(-\frac{4}{9}.\frac{7}{15}+\frac{4}{9}.\frac{5}{27}\)

\(=-\frac{4}{9}.\frac{7}{15}-\left(-\frac{4}{9}\right).\frac{5}{27}\)

\(=-\frac{4}{9}.\left(\frac{7}{15}-\frac{5}{27}\right)\)

\(=-\frac{4}{9}.\left(\frac{63}{135}-\frac{25}{135}\right)\)

\(=-\frac{4}{9}.\frac{38}{135}\)

\(=\frac{152}{1215}\)

~ Rút gọn đc thì rút ~
# Chúc bạn học tốt #

\(\frac{\frac{2}{3}.\frac{7}{15}-\frac{2}{3}.\frac{5}{27}}{\frac{-4}{9}.\frac{7}{15}+\frac{4}{9}.\frac{5}{27}}=\frac{\frac{2}{3}.\left(\frac{7}{15}-\frac{5}{27}\right)}{\frac{4}{9}\left(\frac{-7}{15}+\frac{5}{27}\right)}=\frac{\frac{2}{3}}{\frac{4}{9}}=\frac{2:3}{4:9}=\frac{2.\frac{1}{3}}{4.\frac{1}{9}}=\frac{1.\frac{1}{3}}{2.\frac{1}{9}}=\frac{1}{6}\)

Giải:

a) \(\left(9\dfrac{4}{9}+5\dfrac{2}{3}\right)-5\dfrac{1}{2}\) 

\(=\left(\dfrac{85}{9}+\dfrac{17}{3}\right)-\dfrac{11}{2}\) 

\(=\dfrac{136}{9}-\dfrac{11}{2}\) 

\(=\dfrac{173}{18}\) 

b) \(\dfrac{13}{9}.\dfrac{15}{4}-\dfrac{13}{9}.\dfrac{7}{4}-\dfrac{13}{9}.\dfrac{5}{4}\) 

\(=\dfrac{13}{9}.\left(\dfrac{15}{4}-\dfrac{7}{4}-\dfrac{5}{4}\right)\) 

\(=\dfrac{13}{9}.\dfrac{3}{4}\) 

\(=\dfrac{13}{12}\) 

c) \(\dfrac{2}{3}+\dfrac{5}{8}-\dfrac{-1}{3}+0,375\) 

\(=\left(\dfrac{2}{3}-\dfrac{-1}{3}\right)+\left(\dfrac{5}{8}+\dfrac{3}{8}\right)\) 

\(=1+1\) 

\(=2\)

d) \(75\%-3\dfrac{1}{2}+1,5:\dfrac{10}{7}\) 

\(=\dfrac{3}{4}+\dfrac{7}{2}+\dfrac{3}{2}:\dfrac{10}{7}\) 

\(=\dfrac{3}{4}+\dfrac{7}{2}+\dfrac{21}{20}\) 

\(=\dfrac{53}{10}\) 

e) \(1\dfrac{13}{15}.\left(0,5\right)^2.3+\left(\dfrac{8}{15}-1\dfrac{19}{60}\right):1\dfrac{23}{24}\) 

\(=\dfrac{28}{15}.\dfrac{1}{4}.3+\left(\dfrac{8}{15}-\dfrac{79}{60}\right):\dfrac{47}{24}\) 

\(=\dfrac{7}{5}+\dfrac{-47}{60}:\dfrac{47}{24}\) 

\(=\dfrac{7}{5}+\dfrac{-2}{5}\) 

\(=1\)

27 tháng 11 2017

4) \(3^{n+2}+3^n=270\)

\(\Rightarrow3^n.3^2+3^n=270\)

\(\Rightarrow3^n.\left(3^2+1\right)=270\)

\(\Rightarrow3^n.\left(9+1\right)=270\)

\(\Rightarrow3^n.10=270\)

\(\Rightarrow3^n=270:10\)

\(\Rightarrow3^n=27\)

\(\Rightarrow3^n=3^3\)

\(\Rightarrow n=3\)

Vậy \(n=3\)

=210 nha bn

** mk đi

3 tháng 7 2017

Số số hạng là : ( 20 - 1 ) : 1 + 1 = 20 ( số )

Tổng là : ( 20 + 1 ) x 20 : 2 = 210

~ Chúc học tốt ~

Ai ngang qua xin để lại 1 L - I - K - E 

27 tháng 12 2018

\(a,5^{x-2}=125\)

\(\Rightarrow5^{x-2}=5^3\)

\(\Rightarrow x-2=3\)

\(\Rightarrow x=5\)

\(b,3^{x+4}=243\)

\(\Rightarrow3^{x+4}=3^5\)

\(\Rightarrow x+4=5\)

\(\Rightarrow x=1\)

\(5^{x-2}=125\)

\(\Rightarrow5^{x-2}=5^3\)

\(\Rightarrow x-2=3\)

\(\Rightarrow x=3+2\)

\(\Rightarrow x=5\)

13 tháng 3 2023

tính : 3/17 . 6/29 - 3/17 . 35/29 + 2022 3/17
b, 5/6-(1/3+1/2). 20%
c,9.5+(-13,2)+12,5+(-0,8)
 

23 tháng 5

  \(\dfrac{1}{2}+\dfrac{3}{4}-\left(\dfrac{3}{4}-\dfrac{4}{5}\right)\)

=\(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{3}{4}+\dfrac{4}{5}\)

=\(\left(\dfrac{1}{2}+\dfrac{4}{5}\right)+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)\) 

=\(\left(\dfrac{5}{10}+\dfrac{8}{10}\right)+0\)

=\(\dfrac{13}{10}\)

23 tháng 5

\(-\dfrac{7}{25}.\dfrac{11}{13}+\left(-\dfrac{7}{25}\right).\dfrac{2}{13}-\dfrac{18}{25}\)

=\(-\dfrac{7}{25}.\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\) 

=\(-\dfrac{7}{25}.1-\dfrac{18}{25}\) 

=\(-\dfrac{7}{25}-\dfrac{18}{25}\) 

=\(-\dfrac{25}{25}\) = \(-1\)