Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a: \(3\dfrac{3}{7}:1\dfrac{5}{7}\)
\(=\dfrac{24}{7}:\dfrac{12}{7}\)
\(=\dfrac{24}{7}\cdot\dfrac{7}{12}=\dfrac{24}{12}=2\)
b: \(\dfrac{2}{3}+\dfrac{-3}{5}=\dfrac{2}{3}-\dfrac{3}{5}\)
\(=\dfrac{10-9}{15}\)
\(=\dfrac{1}{15}\)
c: \(\dfrac{2}{9}-\left(\dfrac{1}{20}+\dfrac{2}{9}\right)\)
\(=\dfrac{2}{9}-\dfrac{1}{20}-\dfrac{2}{9}\)
\(=-\dfrac{1}{20}\)
d: \(\dfrac{11}{23}\cdot\dfrac{12}{17}+\dfrac{11}{23}\cdot\dfrac{5}{17}+\dfrac{12}{23}\)
\(=\dfrac{11}{23}\left(\dfrac{12}{17}+\dfrac{5}{17}\right)+\dfrac{12}{23}\)
\(=\dfrac{11}{23}+\dfrac{12}{23}=\dfrac{23}{23}=1\)
3x-27=4x3 mũ 2
3x-27=4x9
3x-27=36
3x=36+27
3x=63
x=63:3
x=21
\(A=\dfrac{31\cdot\left(31^{12}-1\right)}{31\left(31^{13}+1\right)}=\dfrac{31^{13}+1-32}{31\left(31^{13}+1\right)}=\dfrac{1}{31}-\dfrac{32}{31^{14}+31}\)
\(B=\dfrac{31\left(31^{13}-1\right)}{31\left(31^{14}+1\right)}=\dfrac{1}{31}-\dfrac{32}{31^{15}+31}\)
Dễ thấy \(31^{14}+31< 31^{15}+31\Rightarrow\dfrac{32}{31^{14}+31}>\dfrac{32}{31^{15}+31}\\ \Rightarrow\dfrac{1}{31}-\dfrac{32}{31^{14}+31}< \dfrac{1}{31}-\dfrac{32}{31^{15}+31}\)
Vậy A < B
\(g,\dfrac{-3}{31}+\dfrac{-6}{17}+\dfrac{1}{25}+\dfrac{-28}{31}+\dfrac{-11}{17}+\dfrac{-1}{5}\\ =\left(\dfrac{-3}{31}+\dfrac{-28}{31}\right)+\left(\dfrac{-6}{17}+\dfrac{-11}{17}\right)+\left(\dfrac{1}{25}+\dfrac{-5}{25}\right)\\ =\dfrac{-31}{31}+\dfrac{-17}{17}+\dfrac{-1}{25}\\ =\left(-1\right)+\left(-1\right)+\dfrac{-4}{25}\\ =-\dfrac{54}{25}\\ h,\dfrac{-4}{12}+\dfrac{18}{45}+\dfrac{-6}{9}+\dfrac{-21}{35}+\dfrac{6}{30}\\ =\dfrac{-1}{2}+\dfrac{2}{5}+\dfrac{-2}{3}+\dfrac{-3}{5}+\dfrac{1}{5}\\ =\dfrac{-1}{2}+\dfrac{-2}{3}+\left(\dfrac{2}{5}+\dfrac{-3}{5}+\dfrac{1}{5}\right)\\ =\dfrac{-3}{6}+\dfrac{-4}{6}+\dfrac{0}{5}\\ =\dfrac{-7}{6}+0\\ =-\dfrac{7}{6}\)
Xét : \(\frac{a}{5}=\frac{12}{144}\Leftrightarrow a=\frac{5}{12}\)
Xét : \(\frac{b}{3}=\frac{12}{144}\Leftrightarrow b=\frac{1}{4}\)
Xét ; \(\frac{c}{8}=\frac{12}{144}\Leftrightarrow c=\frac{2}{3}\)
Ta có
\(\hept{\begin{cases}\frac{a}{5}=\frac{12}{144}\\\frac{b}{3}=\frac{12}{144}\\\frac{c}{8}=\frac{12}{144}\end{cases}}\Leftrightarrow\hept{\begin{cases}a=5.12:144=\frac{5}{12}\\b=3.12:144=\frac{1}{4}\\c=8.12:144=\frac{2}{3}\end{cases}}\)
vậy a=5/12 và b=1/4 và c=2/3