Rút gọn phân số:(easy)
a)\(\frac{25-7.25}{6.15}\)
b)\(\frac{15.11-15}{25.\left(-10\right)}\)
a)\(\frac{5^{2.}6^{11}.16^2.6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}\)
b)\(\frac{25^{28}+25^{24}+...+25^4+1}{25^{30}+25^{28}+...+25^2+1}\)
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Rút gọn phân số sau: a)\(\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}\)
\(\frac{25^{28}+25^{24}+...+25^4+1}{25^{30}+25^{28}+...+25^2+1}\)
rút gọn các phân số sau
a/ \(\frac{7.25-49}{7.24+21}\)
b/\(\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}\)
a, \(\frac{7.25-49}{7.24+21}\)
\(=\frac{7.25-7.7}{7.24+7.3}=\frac{7\left(25-7\right)}{7\left(24+3\right)}=\frac{18}{27}=\frac{2}{3}\)
b, \(\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}=\frac{2.\left(-13\right).\left(-3\right).\left(-3\right).\left(-5\right).\left(-2\right)}{\left(-3\right).2.2.\left(-5\right).\left(-13\right).\left(-2\right)}\)
\(=\frac{-3}{2}\)
DỄ LẮM !
a) \(\frac{7\cdot25-49}{7\cdot24+21}=\frac{7\cdot25-7\cdot7}{7\cdot24+7\cdot3}=\frac{7\left(25-7\right)}{7\left(24+3\right)}\)
=\(\frac{18}{27}=\frac{2}{3}\)
b) \(\frac{2\cdot\left(-13\right)\cdot9\cdot10}{\left(-3\right)\cdot4\cdot\left(-5\right)\cdot26}=\frac{-1\cdot2\cdot13\cdot3\cdot3\cdot5\cdot2}{1\cdot3\cdot2\cdot2\cdot5\cdot13\cdot2}=-\frac{3}{2}\)
Chúc bn học tốt !
\(a,\frac{2.25-49}{2.24+21}=\frac{2.25-7.7}{7.24+7.3}=\frac{7.\left(25-7\right)}{7.\left(24+3\right)}=\frac{2}{3}\)
\(b,\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}=\frac{2.\left(-1\right).13.3.3.5.2}{1.3.2.2.5.13.2}\frac{-3}{2}\)
6. a) Rút gọn
i) \(\frac{7.25-49}{7.24+21}\); ii) \(\frac{2.\left(-13\right).9.10}{\left(-3\right).4.\left(-5\right).26}\).
b) So sánh hai phân số
i) \(\frac{3}{-4}\) và \(\frac{-1}{-4}\); ii) \(\frac{15}{17}\) và \(\frac{25}{27}\).
a) i)\(\frac{7\cdot25-7\cdot7}{7\cdot24+7\cdot3}=\frac{7\left(25-7\right)}{7\left(24+3\right)}=\frac{18}{27}=\frac{2}{3}\) ii)\(\frac{2\cdot\left(-1\right)\cdot13\cdot\left(-3\right)^2\cdot\left(-2\right)\cdot\left(-5\right)}{\left(-3\right)\cdot2\cdot2\cdot\left(-5\right)\cdot13\cdot2}=\frac{-3}{2}\)
b) i)\(\frac{3}{-4}< 0;\frac{-1}{-4}>0=>\frac{3}{-4}< \frac{-1}{-4}\)
ii) ta có \(\frac{15}{17}+\frac{2}{17}=1;\frac{25}{27}+\frac{2}{27}=1\)
mà \(\frac{2}{17}>\frac{2}{27}\) =>\(\frac{15}{17}< \frac{25}{27}\)
Rút gọn A=\(\left(\frac{x}{25+5x}+\frac{5x+50}{x^2+5x}-\frac{10-2x}{x}\right):\frac{3x+15}{7}\)
\(A=\left(\frac{x}{25+5x}+\frac{5x+50}{x^2+5x}-\frac{10-2x}{x}\right)\div\frac{3x+15}{7}\)
ĐK : \(\hept{\begin{cases}x\ne0\\x\ne-5\end{cases}}\)
\(=\left(\frac{x}{5\left(x+5\right)}+\frac{5\left(x+10\right)}{x\left(x+5\right)}-\frac{2\left(5-x\right)}{x}\right)\div\frac{3\left(x+5\right)}{7}\)
\(=\left(\frac{x^2}{5x\left(x+5\right)}+\frac{5\cdot5\cdot\left(x+10\right)}{5x\left(x+5\right)}-\frac{2\left(5-x\right)\cdot5\left(x+5\right)}{5x\left(x+5\right)}\right)\div\frac{3\left(x+5\right)}{7}\)
\(=\left(\frac{x^2}{5x\left(x+5\right)}+\frac{25x+250}{5x\left(x+5\right)}-\frac{10\left(25-x^2\right)}{5x\left(x+5\right)}\right)\div\frac{3\left(x+5\right)}{7}\)
\(=\left(\frac{x^2+25x+250-250+10x^2}{5x\left(x+5\right)}\right)\div\frac{3\left(x+5\right)}{7}\)
\(=\frac{11x^2+25x}{5x\left(x+5\right)}\times\frac{7}{3\left(x+5\right)}\)
\(=\frac{77x^2+175x}{15x\left(x+5\right)^2}\)
\(=\frac{77x^2+175x}{15x\left(x^2+10x+25\right)}=\frac{77x^2+175x}{15x^3+150x^2+375x}\)
\(=\frac{77x+175}{15x^2+150x+375}\)
Rút gọn Phân số:
1, \(\frac{7.25^{14}.125^3-3.625^9.5}{2.4^2.\left(5^2\right)^{18}}\)
2, \(\frac{4^7.2^8}{3.2^{15}.16^2-5.2.\left(2^{10}\right)^2}\)
Rút gọn:
a,\(\frac{15.\left(1352-41\right)}{\left(1352-41\right)\left(150-15\right)}\)
b,\(\frac{2^{10}.6^{15}+3^{14}.15.4^{13}}{2^{18}.18^7.3^3+3^{15}.2^{25}}\)
Rút gọn phân số:
a/\(\frac{25.36.51}{28.45.\left(-30\right)}\)
b/\(\frac{-5^{25}}{5^{27}}\);\(\frac{\left(-5\right)^{34}}{5^{37}}\)
RÚT GỌN PHÂN SỐ SAU: \(\frac{-63}{108};\frac{-33}{-77};\frac{-5}{10};\frac{14}{63};\frac{-15}{25};\frac{-45}{18};\frac{12}{15};\frac{20}{25};\frac{31}{12}\)
\(\frac{-63}{108}\)= \(\frac{-7}{12}\)
\(\frac{-33}{-77}\)= \(\frac{3}{7}\)
\(\frac{-5}{10}\)=\(\frac{-1}{2}\)
\(\frac{14}{63}\)=\(\frac{2}{9}\)
\(\frac{-15}{25}\)=\(\frac{-3}{5}\)
\(\frac{-45}{18}\)=\(\frac{-5}{2}\)
\(\frac{12}{15}\)=\(\frac{4}{5}\)
\(\frac{20}{25}\)=\(\frac{4}{5}\)
\(\frac{31}{12}\):Là phân số tối giản
t.i.c.k nha