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a: \(\dfrac{5}{7}=\dfrac{5\cdot11}{7\cdot11}=\dfrac{55}{77}\)
\(\dfrac{9}{11}=\dfrac{9\cdot7}{11\cdot7}=\dfrac{63}{77}\)
b: \(\dfrac{36}{42}=\dfrac{6}{7}=\dfrac{6\cdot9}{7\cdot9}=\dfrac{54}{63}\)
\(-\dfrac{12}{54}=\dfrac{-2}{9}=\dfrac{-2\cdot7}{9\cdot7}=-\dfrac{14}{63}\)
c: \(\dfrac{-11}{30}=\dfrac{-11\cdot4}{30\cdot4}=\dfrac{-44}{120}\)
\(\dfrac{-17}{-40}=\dfrac{17}{40}=\dfrac{17\cdot3}{40\cdot3}=\dfrac{51}{120}\)
d: \(\dfrac{36}{42}=\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\)
\(\dfrac{-12}{36}=\dfrac{-1}{3}=\dfrac{-1\cdot7}{3\cdot7}=\dfrac{-7}{21}\)
Bài 4:
a: =>7/x-5=2
=>x-5=7/2
=>x=17/2
b: =>1-2x=-5
=>2x=6
=>x=3
c: =>2x-3=5 hoặc 2x-3=-5
=>2x=8 hoặc 2x=-2
=>x=-1 hoặc x=4
d: =>2(x+1)^2+17=21
=>2(x+1)^2=4
=>(x+1)^2=2
=>\(x+1=\pm\sqrt{2}\)
=>\(x=\pm\sqrt{2}-1\)
MSC: `180`
`(-24)/(-54) = 4/9 = (4xx20)/(9xx20) = 80/180`
`37/(-180) = (-37)/180`
MSC: `180`
\(\dfrac{-24}{-54}=\dfrac{4}{9}=\dfrac{4\times20}{9\times20}=\dfrac{80}{180};\dfrac{37}{-180}=\dfrac{-37}{180}\)
Ta có:
\(\dfrac{54}{90}=\dfrac{3}{5}\)
\(\dfrac{180}{288}=\dfrac{5}{8}\)
\(\dfrac{60}{135}=\dfrac{4}{9}\)
Có mẫu số chung là 360
\(\dfrac{3}{5}=\dfrac{3\cdot72}{5\cdot72}=\dfrac{216}{360}\)
\(\dfrac{5}{8}=\dfrac{5\cdot45}{8\cdot45}=\dfrac{225}{360}\)
\(\dfrac{4}{9}=\dfrac{4\cdot40}{9\cdot40}=\dfrac{160}{360}\)
\(\dfrac{-54}{72}=\dfrac{-3}{4}\); \(\dfrac{42}{36}=\dfrac{7}{6}\); \(\dfrac{2}{-3}=\dfrac{2}{-3}\)
\(\Rightarrow BCNN\left(4,6,-3\right)=12\)
Quy đồng
\(\dfrac{-3}{4}=\dfrac{-3.3}{4.3}=\dfrac{-9}{12}\)
\(\dfrac{7}{6}=\dfrac{7.2}{6.2}=\dfrac{14}{12}\)
\(\dfrac{2}{-3}=\dfrac{2.\left(-4\right)}{\left(-3\right).\left(-4\right)}=\dfrac{-8}{12}\)