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a/
\(x-y=\frac{a}{b}-\frac{c}{d}=\frac{ad-cb}{bd}=\frac{1}{bd}.\) (1)
\(y-z=\frac{c}{d}-\frac{e}{h}=\frac{ch-de}{dh}=\frac{1}{dh}\)(2)
+ Nếu d>0 => (1)>0 và (2)>0 => x>y; y>x => x>y>z
+ Nếu d<0 => (1)<0 và (2)<0 => x<y; y<z => x<y<z
b/
\(m-y=\frac{a+e}{b+h}-\frac{c}{d}=\frac{ad+de-cb-ch}{d\left(b+h\right)}=\frac{\left(ad-cb\right)-\left(ch-de\right)}{d\left(b+h\right)}=\frac{1-1}{d\left(b+h\right)}=0\)
=> m=y
+
cảm ơn bn nha Nguyễn Ngoc Anh Minh mk k cho bn r đó kb vs mk nha
a) \(\frac{267}{268}< 1< \frac{1347}{1343}=>\frac{267}{-268}>\frac{-1347}{1343}\)
b) Bó tay :))
c) \(\frac{-18}{31}=\frac{-18.10101}{31.10101}=\frac{-181818}{313131}\)
\(\frac{2008}{2009};\frac{20}{19}\)
\(1-\frac{2008}{2009}=\frac{1}{2009}\)
\(1-\frac{20}{19}=\frac{-1}{19}=\frac{1}{19}\)
Vì 19 < 2009 Nên \(\frac{1}{2009}< \frac{1}{19}\)
Vậy \(\frac{2008}{2009}>\frac{20}{19}\)
a.\(\frac{13}{17}\)=1-\(\frac{4}{17}\); \(\frac{46}{50}\)=1-\(\frac{4}{50}\)
Vì \(\frac{4}{17}\)>\(\frac{4}{50}\)=> 1-\(\frac{4}{17}\)<1-\(\frac{4}{50}\)
Vậy\(\frac{13}{17}\)<\(\frac{46}{50}\)
A+2016/B+2016=A/B+2016/2016=A/B+1
=)A/B<A/B+1
=)A/B<A+2016/B+2016
Ta có :
\(A+3=\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}+3\)
\(=\left(\frac{a}{b+c}+1\right)+\left(\frac{b}{a+c}+1\right)+\left(\frac{c}{a+b}+1\right)\)
\(=\frac{a+b+c}{b+c}+\frac{a+b+c}{a+c}+\frac{a+b+c}{a+b}\)
\(=\left(a+b+c\right)\left(\frac{1}{b+c}+\frac{1}{a+c}+\frac{1}{a+b}\right)\)
\(=2017.\frac{1}{2017}=1\)
\(\Rightarrow A=1-3=-2\)
Các bạn giúp mk với, còn nốt mấy câu so sánh này nữa thôi, ai nhanh mk k cho
a)
\(\frac{-17}{243}< 0\)
\(\frac{1}{1965}>0\)
\(\frac{-17}{243}< \frac{1}{1965}\)
b,
\(\frac{23}{-15}< 0\)
\(\frac{-17}{-49}>0\)
\(\frac{23}{-15}< \frac{-17}{-49}\)
c,
\(\frac{-2004}{2005}=-1+\frac{1}{2005}\)
\(\frac{-2005}{2006}=-1+\frac{1}{2006}\)
Vì \(\frac{1}{2005}>\frac{1}{2006}\)
Nên \(-1+\frac{1}{2005}>-1+\frac{1}{2006}\)
Vậy \(\frac{-2004}{2005}>\frac{-2005}{2006}\)
a)
\(\frac{13}{27}=\frac{13.101}{27.101}=\frac{1313}{2727}\)
=> \(\frac{13}{27}=\frac{1313}{2727}\)
b)
\(-\frac{15}{23}=-\frac{15.10101}{23.10101}=-\frac{151515}{232323}\)
=>\(-\frac{15}{23}=-\frac{151515}{232323}\)
a) \(\frac{1313}{2727}=\frac{1313:101}{2727:101}=\frac{13}{27}\)
Vậy \(\frac{13}{27}=\frac{1313}{2727}\)
b) \(-\frac{151515}{232323}=\frac{-151515:10101}{232323:10101}=-\frac{15}{23}\)
Vậy \(-\frac{15}{23}=-\frac{151515}{232323}\)
a) vì -2005/2006 <0<1/200 nên -2005/2006<1/200
b)vì 1/4003>0>-75/106 nên 1/4003>-75/106
câu cuôi mình đang bí co gì mình giuuwi câu trả lời sau
a) vì -2005/2006<-1<1/200 nên -2005/2006<1/200
b) vì 1/4003>-1>-75/106 nên 1/4003>-75/106
c) vì 1250/1251<1<25/24 nên 1250/1251<25/24