2/3 .7/15 - 2/3 .5/27
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-4/9.7/15+4/9.5/27
giup mk voi
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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) \(1\dfrac{13}{15}.\left(0,5\right)^2.3+\left(\dfrac{8}{15}-1\dfrac{19}{60}\right):1\dfrac{23}{24}\)
\(=\dfrac{28}{15}.\dfrac{1}{4}.3+\left(\dfrac{8}{15}-\dfrac{79}{60}\right):\dfrac{47}{24}\)
\(=\dfrac{7}{5}+\dfrac{-47}{60}:\dfrac{47}{24}\)
\(=\dfrac{7}{5}+\dfrac{-2}{5}\)
\(=1\)
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 \(n=3\)
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
\(a,5^{x-2}=125\)
\(\Rightarrow5^{x-2}=5^3\)
\(\Rightarrow x-2=3\)
\(\Rightarrow x=5\)
\(b,3^{x+4}=243\)
\(\Rightarrow3^{x+4}=3^5\)
\(\Rightarrow x+4=5\)
\(\Rightarrow x=1\)
\(5^{x-2}=125\)
\(\Rightarrow5^{x-2}=5^3\)
\(\Rightarrow x-2=3\)
\(\Rightarrow x=3+2\)
\(\Rightarrow x=5\)
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)
\(\dfrac{1}{2}+\dfrac{3}{4}-\left(\dfrac{3}{4}-\dfrac{4}{5}\right)\)
=\(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{3}{4}+\dfrac{4}{5}\)
=\(\left(\dfrac{1}{2}+\dfrac{4}{5}\right)+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)\)
=\(\left(\dfrac{5}{10}+\dfrac{8}{10}\right)+0\)
=\(\dfrac{13}{10}\)
\(-\dfrac{7}{25}.\dfrac{11}{13}+\left(-\dfrac{7}{25}\right).\dfrac{2}{13}-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.1-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}-\dfrac{18}{25}\)
=\(-\dfrac{25}{25}\) = \(-1\)
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 #
\(\frac{\frac{2}{3}.\frac{7}{15}-\frac{2}{3}.\frac{5}{27}}{\frac{-4}{9}.\frac{7}{15}+\frac{4}{9}.\frac{5}{27}}=\frac{\frac{2}{3}.\left(\frac{7}{15}-\frac{5}{27}\right)}{\frac{4}{9}\left(\frac{-7}{15}+\frac{5}{27}\right)}=\frac{\frac{2}{3}}{\frac{4}{9}}=\frac{2:3}{4:9}=\frac{2.\frac{1}{3}}{4.\frac{1}{9}}=\frac{1.\frac{1}{3}}{2.\frac{1}{9}}=\frac{1}{6}\)