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\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}.\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}=\frac{8}{35+9}=\frac{8}{44}=\frac{2}{11}\)
\(=\left(\frac{135}{11}-\frac{58}{11}\right)+\left(\frac{13}{4}+\frac{5}{4}\right)-\frac{6}{13}\)
\(=7+\frac{9}{2}-\frac{6}{13}\)
\(=\frac{23}{2}-\frac{6}{13}\)
\(=\frac{287}{26}.\)
Chúc bạn học tốt!
\(12\frac{3}{11}-\frac{6}{13}+3,25-5\frac{3}{11}-4\frac{7}{13}+\sqrt{1\frac{9}{16}}\)
\(=12+\frac{3}{11}-\frac{6}{13}+3,25-5-\frac{3}{11}-4-\frac{7}{13}+\sqrt{\frac{25}{16}}\)
\(=\left(12-5-4\right)+\left(\frac{3}{11}-\frac{3}{11}\right)+\left(\frac{-6}{13}-\frac{7}{13}\right)+\frac{5}{4}+3,25\)
\(=3+0+\left(-1\right)+1,25+3,25=2+4,5=6,5\)
\(\frac{21^{11}.5-7^{11}.3^{12}}{7^{10}.3^9+21^{10}}=\frac{7^{11}.3^{11}.5-7^{11}.3^{12}}{7^{10}.3^9+7^{10}.3^{10}}=\frac{7^{11}.3^{11}.\left(5-3\right)}{7^{10}.3^9.\left(1+3\right)}\)
\(=\frac{7^{11}.3^{11}.2}{7^{10}.3^9.4}=\frac{7.3^2}{2}=\frac{7.9}{2}=\frac{63}{2}\)
\(A=\frac{\left(140\frac{7}{30}-138\frac{5}{12}\right):18\frac{1}{6}}{0,002}\)
\(A=\frac{\left(\frac{4207}{30}-\frac{1661}{12}\right):\frac{109}{6}}{\frac{1}{500}}\)
\(A=\frac{\left(\frac{4207}{30}-\frac{1661}{12}\right)\times\frac{6}{109}}{\frac{1}{500}}\)
\(A=\left(\frac{4207}{30}-\frac{1661}{12}\right)\times\frac{6}{109}\times500\)
\(A=\frac{109}{60}\times\frac{6}{109}\times500\)
\(A=\frac{1}{10}\times500\)
\(A=50\)
\(B=\frac{155-\frac{10}{7}-\frac{5}{11}+\frac{5}{23}}{403-\frac{26}{7}-\frac{13}{11}+\frac{13}{23}}\)
\(B=\frac{5\left(31-\frac{2}{7}-\frac{1}{11}+\frac{1}{23}\right)}{13\left(31-\frac{2}{7}-\frac{1}{11}+\frac{1}{23}\right)}\)
\(B=\frac{5}{13}\)
a) \(\frac{17}{9}-\frac{17}{9}:\left(\frac{7}{3}+\frac{1}{2}\right)\)
= \(\frac{17}{9}-\frac{17}{9}:\frac{17}{6}\)
= \(\frac{17}{9}-\frac{2}{3}\)
= \(\frac{11}{9}\)
b) \(\frac{4}{3}.\frac{2}{5}-\frac{3}{4}.\frac{2}{5}\)
= \(\frac{2}{5}.\left(\frac{4}{3}-\frac{3}{4}\right)\)
= \(\frac{2}{5}.\frac{7}{12}\)
= \(\frac{7}{30}\)
Mình lười làm quá, hay mình nói kết quả cho bn thôi nha
c) -6
d) 3
e) 3
g) 12
h) \(\frac{23}{18}\)
i) \(\frac{-69}{20}\)
k) \(\frac{-1}{2}\)
l) \(\frac{49}{5}\)
\(12\frac{3}{11}-\frac{6}{13}+3,25-5\frac{3}{11}+\sqrt{1\frac{9}{16}}\)
\(=\frac{135}{11}-\frac{6}{13}+\frac{13}{4}-\frac{58}{11}+\sqrt{\frac{25}{16}}\)
\(=\frac{135}{11}-\frac{6}{13}+\frac{13}{4}-\frac{58}{11}+\frac{5}{4}\)
\(=\frac{135}{11}-\frac{58}{11}+\frac{13}{4}+\frac{5}{4}-\frac{6}{13}\)
\(=\frac{77}{11}+\frac{18}{4}-\frac{6}{13}\)
\(=7+\frac{9}{2}-\frac{6}{13}\)
\(=\frac{182}{26}+\frac{117}{26}-\frac{12}{26}\)
\(=\frac{287}{26}\)
\(\frac{25}{12}.\frac{23}{7}-\frac{25}{12}.\frac{12}{7}\)
\(=\frac{25}{12}.\left(\frac{23}{7}-\frac{12}{7}\right)\)\(\)
\(=\frac{25}{12}.\frac{11}{7}\)
\(=\frac{275}{84}\)
\(-\frac{6}{7}.\frac{7}{10}.\frac{11}{-6}.\left(-20\right)\)
\(=-\frac{3}{5}.\frac{-11}{6}.\left(-20\right)\)
\(=\frac{11}{10}.\left(-20\right)\)
\(=-22\)
Tính
\(\frac{12}{25}.\frac{23}{7}-\frac{12}{25}.\frac{12}{7}=\frac{12}{25}\left(\frac{23}{7}-\frac{12}{7}\right)\)
\(=\frac{12}{25}.\frac{11}{7}=\frac{132}{175}\)
\(-\frac{6}{11}.\frac{7}{10}.\frac{11}{-6}.\left(-20\right)\)
\(=\frac{-6.7.11.\left(-20\right)}{11.10.\left(-6\right)}=7.\left(-20\right)=-140\)
\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}+\frac{\sqrt{81}}{11}\)
\(=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}+\frac{9}{11}=\frac{8}{44}+\frac{9}{11}\)
\(=\frac{2}{11}+\frac{9}{11}=1\)