rút gọ các p/s : a, 10+5/4.5
b< 22.9/27.2
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\(\frac{10+5}{4.5}=\frac{15}{20}=\frac{15:5}{20:5}=\frac{3}{4}\)
\(\frac{2^2.9}{27.2}=\frac{36}{54}=\frac{36:6}{54:6}=\frac{6}{9}=\frac{2}{3}\)
Tớ đầu tiên
\(a)4.6\%+7.5\%=12.1\%=0.121\)
\(b)72.5\%-27.2=0.725-27.2=-26.475\)
\(c)4.5\%\times8=36\%=0.36\)
a. 1-2+3-4+5-6+7-8+9-10 1+2+3+4+5+6+7+8+9+10
= (-1)+ (-1)+(-1)+(-1) (-1) =(10+1)10/2
=-5 =55
1-2+3-4+...+9-10/1+2+3+...+9+10=-5/55=-1/11
Bài 1:
a: =-3/7
b: =-3/5
c: =1/13
d: =-1/2
Bài 2:
a: \(=\dfrac{21\cdot11}{22\cdot9}=\dfrac{1}{2}\cdot\dfrac{7}{3}=\dfrac{7}{6}\)
b: \(=\dfrac{49\cdot8}{10}=\dfrac{196}{5}\)
a: \(\dfrac{4\cdot5+4\cdot11}{8\cdot7+4\cdot3}=\dfrac{4\cdot16}{4\left(2\cdot7+3\right)}=\dfrac{16}{17}=\dfrac{11088}{11781}\)
\(\dfrac{-15\cdot8+10\cdot7}{5\cdot6+20\cdot3}=\dfrac{-120+170}{30+60}=\dfrac{50}{90}=\dfrac{5}{9}=\dfrac{6545}{11781}\)
\(\dfrac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^2\cdot11}=2\cdot5\cdot\dfrac{1}{77}=\dfrac{10}{77}=\dfrac{1530}{11781}\)
`6/10=(6:2)/(10:2)=3/5`
`70/90=(70:10)/(90:10)=7/9`
`96/72=(96:24)/(72:24)=4/3`
`45/35=(45:5)/(35:5)=9/7`
1, b) \(\frac{x^2+y^2-4+2xy}{x^2-y^2+4+4x}\) = \(\frac{\left(x^2+2xy+y^2\right)-4}{\left(x^2+4x+4\right)-y^2}\) =\(\frac{\left(x+y\right)^2-2^2}{\left(x+2\right)^2-y^2}\)= \(\frac{\left(x+y+2\right)\left(x+y-2\right)}{\left(x+2+y\right)\left(x+2-y\right)}\) = \(\frac{x+y-2}{x+2-y}\)
2, A= \(\frac{a^2+ax+ab+bx}{a^2+ax-ab-bx}\) = \(\frac{\left(a^2+ax\right)+\left(ab+bx\right)}{\left(a^2+ax\right)-\left(ab+bx\right)}\) = \(\frac{a\left(a+x\right)+b\left(a+x\right)}{a\left(a+x\right)-b\left(a+x\right)}\)= \(\frac{\left(a+x\right)\left(a+b\right)}{\left(a+x\right)\left(a-b\right)}\)= \(\frac{a+b}{a-b}\)