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Ta có
a/ 1/3x - 3/4x = 5/12 1/4x + 3/4 +x =7/8
x(1/3-3/4)=5/12 2x=7/8
-5/12x=5/12 x=7/8 : 2 =7/16
x=5/12 : -5/12
x=-1
a) \(\frac{2}{3}x-\frac{1}{2}x=\frac{5}{12}\)
\(x\left(\frac{2}{3}-\frac{1}{2}\right)=\frac{5}{12}\)
\(x\left(\frac{4}{6}-\frac{3}{6}\right)=\frac{5}{12}\)
\(\frac{1}{6}x=\frac{5}{12}\)
\(x=\frac{5}{12}:\frac{1}{6}=\frac{5}{2}\)
b) \(25\%x+\frac{3}{4}x+x=\frac{7}{8}\)
\(x\left(25\%+\frac{3}{4}+1\right)=\frac{7}{8}\)
\(x\left(\frac{1}{4}+\frac{3}{4}+1\right)=\frac{7}{8}\)
\(x\left(1+1\right)=\frac{7}{8}\)
\(2x=\frac{7}{8}\)
\(x=\frac{7}{8}:2=\frac{7}{16}\)
\(\frac{3}{4}\times x+\frac{5}{3}\times x=\frac{7}{12}\)
\(\left(\frac{3}{4}+\frac{5}{3}\right)\times x=\frac{7}{12}\)
\(\frac{29}{12}\times x=\frac{7}{12}\)
\(x=\frac{7}{12}\div\frac{29}{12}\)
\(x=\frac{7}{29}\)
\(\left(3\dfrac{1}{2}-2x\right)\cdot3\dfrac{1}{3}=7\dfrac{1}{3}\)
\(\Leftrightarrow-2x+\dfrac{7}{2}=\dfrac{22}{3}:\dfrac{10}{3}=\dfrac{11}{5}\)
=>-2x=-13/10
hay x=13/20
d. 37/53 x 535353/373737 x 23/48 x 242424/232323
= 1 x 1/2
= 1/2
37/53.23/48.535353/373737.242424/232323
=37/53.23/48.53/37.24/23
=37.23.53.24/53.48.37.23
=24/48
=1/2
=>2/3:x=-7-1/3=-22/3
=>x=-2/3:22/3=-2/3*3/22=-1/11
\(\dfrac{1}{3}\)+\(\dfrac{2}{3}\):x=-7
\(\dfrac{2}{3}\):x=(-7)-\(\dfrac{1}{3}\)
\(\dfrac{2}{3}\):x=\(\dfrac{-22}{3}\)
x=\(\dfrac{2}{3}\):\(\dfrac{-22}{3}\)
x=\(\dfrac{-1}{11}\)
vậy x=\(\dfrac{-1}{11}\)