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\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}=\frac{8}{44}=\frac{2}{11}\)
\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)
=\(\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}\)
= \(\frac{8}{35+9}\)
= \(\frac{8}{44}\)
= \(\frac{2}{11}\)
\(\frac{5^{11}\cdot7^{12}+5^{11}\cdot7^{11}}{5^{12}\cdot7^{11}+9\cdot5^{11}\cdot7^{11}}\)
=\(\frac{5^{11}\cdot\left(7^{12}+7^{11}\right)}{5^{11}\left(5\cdot7^{11}+9\cdot7^{11}\right)}\)
=\(\frac{7^{12}+7^{11}}{5\cdot7^{11}+9\cdot7^{11}}\)
=\(\frac{7^{11}\left(7+1\right)}{7^{11}\left(5+9\right)}\)
=\(\frac{8}{14}=\frac{4}{7}\)
Kết quả này chắc chắn là đúng đấy
\(-\dfrac{5}{9}\times\dfrac{5}{11}+\dfrac{6}{9}\times\dfrac{5}{11}+\dfrac{5}{9}\)
\(=\dfrac{5}{11}\times\left(-\dfrac{5}{9}+\dfrac{6}{9}+\dfrac{5}{9}\right)\)
\(=\dfrac{5}{11}\times\dfrac{6}{9}\)
\(=\dfrac{30}{99}\)
\(=\dfrac{10}{33}\)
Cho mình sửa lại ạ:
\(-\dfrac{5}{9}\times\dfrac{5}{11}+\dfrac{6}{9}\times\dfrac{5}{11}+\dfrac{5}{9}\)
\(=\dfrac{5}{11}\times\left(-\dfrac{5}{9}+\dfrac{6}{9}\right)+\dfrac{5}{9}\)
\(=\dfrac{5}{11}\times\dfrac{1}{9}+\dfrac{5}{9}\)
\(=\dfrac{5}{99}+\dfrac{5}{9}\)
\(=\dfrac{60}{99}\)
\(=\dfrac{20}{33}\)