\(\dfrac{-17}{238}+\dfrac{-95}{266}\) rút gọn rồi tính
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\(=\dfrac{5}{3}+2-\dfrac{3}{4}=\dfrac{5.4+2.12-3.3}{12}=\dfrac{20+24-9}{12}=\dfrac{35}{12}\)
\(\dfrac{70}{80}-\dfrac{2}{16}-\dfrac{3}{24}\)
\(=\dfrac{7}{8}-\dfrac{1}{8}-\dfrac{1}{8}=\dfrac{5}{8}\)
=\(\dfrac{3}{8}\)+\(\dfrac{3}{4}\)=\(\dfrac{3}{8}\)+\(\dfrac{6}{8}\)=\(\dfrac{9}{8}\)
\(\dfrac{60}{72}=\dfrac{60:12}{72:12}=\dfrac{5}{6}\\ \dfrac{70}{95}=\dfrac{70:5}{95:5}=\dfrac{14}{19}\\ \dfrac{150}{360}=\dfrac{150:30}{360:30}=\dfrac{5}{12}\)
\(\dfrac{3}{12}+\dfrac{1}{4}=\dfrac{3:3}{12:3}+\dfrac{1}{4}=\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}=\dfrac{1}{2}\)
\(\dfrac{4}{10}+\dfrac{3}{5}=\dfrac{4:2}{10:2}+\dfrac{3}{5}=\dfrac{2}{5}+\dfrac{3}{5}=\dfrac{5}{5}=1\)
\(\dfrac{12}{27}+\dfrac{2}{9}=\dfrac{12:3}{27:3}+\dfrac{2}{9}=\dfrac{4}{9}+\dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}\)
\(\dfrac{7}{3}+\dfrac{20}{15}=\dfrac{7}{3}+\dfrac{20:5}{15:5}=\dfrac{7}{3}+\dfrac{4}{3}=\dfrac{11}{3}\)
a, 15/25 - 3/21 = 3/5 - 1/7 = 21/35 - 5/35 = 18/35
b, 24/36 - 6/12 = 2/3 - 1/2 = 4/6 - 3/6 = 1/6
Đặt `A=(1-3x)/(2x)+(3x-2)/(2x-1)+(3x-2)/(2x-4x^2)`
`=(2x(3x-2))/(2x(2x-1))-((3x-1)(2x-1))/(2x(2x-1))-(3x-2)/(2x(2x-1))`
`=(6x^2-4x-6x^2+5x-1-3x+2)/(2x(2x-1))`
`=(-2x+1)/(2x(2x-1))`
`=-1/(2x)`
`2x=1/(483)`
`=>A=-1/(1/483)=-483`
\(=-\dfrac{1}{14}-\dfrac{5}{14}=\dfrac{-1-5}{14}=-\dfrac{6}{14}\)
\(=\dfrac{-1}{14}-\dfrac{5}{14}=\dfrac{-6}{14}=\dfrac{-3}{7}\)