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a)\(\frac{7x9x12}{6x14x18}=\frac{7x9x6x2}{6x7x2x9x2}=\frac{2}{2x2}=\frac{1}{2}\)
b) \(\frac{2x3x5}{4x9x10}=\frac{2x3x5}{2x2x3x3x2x5}=\frac{1}{2x2x3x5}=\frac{1}{60}\)
\(\frac{x^{24}+x^{18}+x^{12}+x^6+1}{x^{27}+x^{24}+x^{21}+x^{18}+x^{15}+x^{12}+x^9+x^6+x^3+1}=\frac{x^{24}+x^{18}+x^{12}+x^6+1}{x^{24}\left(x^3+1\right)+x^{18}\left(x^3+1\right)+x^{12}\left(x^3+1\right)+x^6\left(x^3+1\right)+\left(x^3+1\right)}\)
=\(\frac{x^{24}+x^{18}+x^{12}+x^6+1}{\left(x^3+1\right)\left(x^{24}+x^{18}+x^{12}+x^6+1\right)}=\frac{1}{x^3+1}\)
Rút gọn các phân số sau :
\(\frac{18}{30}=\frac{18\div6}{30\div6}=\frac{3}{5}\)
\(\frac{64}{80}=\frac{64\div16}{80\div16}=\frac{4}{5}\)
\(\frac{36}{27}=\frac{36\div9}{27\div9}=\frac{4}{3}\)
\(\frac{45}{35}=\frac{45\div5}{35\div5}=\frac{9}{7}\)
A= \(\frac{3}{x+3}+\frac{1}{x-3}-\frac{18}{9-x^2}=\frac{3x-9}{\left(x+3\right)\left(x-3\right)}+\frac{x+3}{\left(x+3\right)\left(x-3\right)}+\frac{18}{\left(x+3\right)\left(x-3\right)}\)
= \(\frac{3x-9+x+3+18}{\left(x+3\right)\left(x-3\right)}=\frac{4x+12}{\left(x+3\right)\left(x-3\right)}=\frac{4}{x-3}\)
b) để A=4 thì \(\frac{4}{x-3}=4\)=> x-3=1=|> x=4
\(\frac{-63}{108}\)= \(\frac{-7}{12}\)
\(\frac{-33}{-77}\)= \(\frac{3}{7}\)
\(\frac{-5}{10}\)=\(\frac{-1}{2}\)
\(\frac{14}{63}\)=\(\frac{2}{9}\)
\(\frac{-15}{25}\)=\(\frac{-3}{5}\)
\(\frac{-45}{18}\)=\(\frac{-5}{2}\)
\(\frac{12}{15}\)=\(\frac{4}{5}\)
\(\frac{20}{25}\)=\(\frac{4}{5}\)
\(\frac{31}{12}\):Là phân số tối giản
t.i.c.k nha
a,\(A=\frac{6x+12}{\left(x+2\right)\left(2x-6\right)}=\frac{6\left(x+2\right)}{2\left(x+2\right)\left(x-3\right)}=\frac{3}{x-3}\)
b, Giá trị của x để phân thức có giá trị bằng (-2) :
\(\frac{3}{x-3}=-2\Rightarrow x=1,5\)
1. Rút gọn
\(\frac{8x20x4}{9x20x4}=\frac{8}{9}\)
\(\frac{7x9x12}{6x14x18}=\frac{1x1x2}{1x2x2}=\frac{2}{4}=\frac{1}{2}\)
\(\frac{2x3x5}{4x9x10}=\frac{1x1x1}{2x3x2}=\frac{1}{12}\)
2. tìm x
\(\frac{x}{27}=\frac{12}{18}\)
\(\frac{x}{27}=\frac{2}{3}\)
=> X x 3 = 27 x 2
X x 3 = 54
X = 54 : 3
X = 18
\(\frac{35}{49}=\frac{10}{x}\)
\(\frac{5}{7}=\frac{10}{x}\)
=> 5 x X = 7 x 10
5 x X = 70
X = 70 : 5
X = 14
1. \(\frac{8.20.4}{9.20.4}\)= \(\frac{8}{9}\)
\(\frac{7.9.12}{6.14.18}\)= \(\frac{7.9.6.2}{6.7.2.9.2}\)= \(\frac{1}{2}\)
\(\frac{2.3.5}{4.9.10}\)= \(\frac{2.3.5}{2.2.3.3.2.5}\)= \(\frac{1}{12}\)
2. \(\frac{x}{27}\)= \(\frac{12}{18}\) \(\frac{35}{49}\)= \(\frac{10}{x}\)
Ta có : \(\frac{12}{18}\)= \(\frac{6}{9}\) Ta có : \(\frac{35}{49}\)= \(\frac{70}{98}\)
Mà \(\frac{x}{27}\)= \(\frac{6}{9}\) Mà \(\frac{10}{x}\)= \(\frac{70}{98}\)
\(\Rightarrow\)\(x\)= \(27:9.6\) \(\Rightarrow\)\(x\)= \(98:\left(70:10\right)\)
Chú ý : '' \(.\)" là dấu nhân.