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(-3/7+4/11)/ 7/11+(-4/7+7/11)/ 7/11
=(-3/7+4/11)+(-4/7+7/11)/ 7/11
=(-3/7+4/11)+(-4/7+7/11)/ 7/11
=0/ 7/11=0
\(\left(\frac{-3}{7}+\frac{4}{11}\right)\times\frac{7}{11}+\left(\frac{-4}{7}+\frac{7}{11}\right)\times\frac{7}{11}\)
\(=\left(\frac{-3}{7}+\frac{-4}{7}+\frac{4}{11}+\frac{7}{11}\right)\cdot\frac{7}{11}\)
\(=\left(-1+1\right)\cdot\frac{7}{11}\)
\(=0\cdot\frac{7}{11}\)
à đ
Đayáp án nè bạn
\(\text{A = }\frac{\text{-1}}{\text{2011}}-\frac{\text{3}}{\text{11}^2}-\frac{\text{5}}{\text{11}^2.\text{11}}-\frac{\text{7}}{\text{11}^2.\text{11}^2}=\text{ }\frac{\text{-1}}{\text{2011}}-\frac{\text{1}}{\text{11}^2}.\left(3-\frac{\text{5}}{\text{11}}-\frac{\text{7}}{\text{11}^2}\right)\)
\(\text{B = }\frac{\text{-1}}{\text{2011}}-\frac{7}{\text{11}^2}-\frac{5}{\text{11}^2.\text{11}}-\frac{3}{\text{11}^2.\text{11}^2}=\frac{\text{-1}}{\text{2011}}-\frac{\text{1}}{\text{11}^2}.\left(7-\frac{5}{\text{11}}-\frac{3}{\text{11}^2}\right)\)
\(\text{Vì }3-\frac{\text{5}}{\text{11}}-\frac{\text{7}}{\text{11}^2}< 7-\frac{5}{\text{11}}-\frac{3}{\text{11}^2}\)
\(\Rightarrow\frac{\text{-1}}{\text{2011}}-\frac{\text{1}}{\text{11}^2}.\left(3-\frac{\text{5}}{\text{11}}-\frac{\text{7}}{\text{11}^2}\right)>\frac{\text{-1}}{\text{2011}}-\frac{\text{1}}{\text{11}^2}.\left(7-\frac{5}{\text{11}}-\frac{3}{\text{11}^2}\right)\)
=> A > B
Vậy A > B
B. 1/3 - 1/3 - 3/5 +3/5 + 5/7 - 5/7 + 9/11 - 9/11 -11/13 + 11/ 13 + 7/9 + 13/15
= 0 -0-0-0-0+7/9 +13/15
= 74/45
\(\left(\frac{-1}{3}\right)^2.\frac{4}{11}+\frac{7}{11}.\left(\frac{-1}{3}\right)^2\)
\(=\frac{1}{9}.\frac{4}{11}+\frac{7}{11}.\frac{1}{9}\)
\(=\frac{1}{9}.\left(\frac{4}{11}+\frac{7}{11}\right)\)
\(=\frac{1}{9}.1\)
\(=\frac{1}{9}\)
\(\left(\frac{-1}{3}\right)^2.\frac{4}{11}+\frac{7}{11}.\left(\frac{-1}{3}\right)^2\)
\(=\left(\frac{-1}{3}\right)^2.\left(\frac{4}{11}+\frac{7}{11}\right)\)
\(=\left(\frac{-1}{3}\right)^2.1\)
\(=\left(\frac{-1}{3}\right)^2\)
\(12\frac{3}{11}-\frac{6}{13}+3,25-5\frac{3}{11}+\sqrt{1\frac{9}{16}}\)
\(=\frac{135}{11}-\frac{6}{13}+\frac{13}{4}-\frac{58}{11}+\sqrt{\frac{25}{16}}\)
\(=\frac{135}{11}-\frac{6}{13}+\frac{13}{4}-\frac{58}{11}+\frac{5}{4}\)
\(=\frac{135}{11}-\frac{58}{11}+\frac{13}{4}+\frac{5}{4}-\frac{6}{13}\)
\(=\frac{77}{11}+\frac{18}{4}-\frac{6}{13}\)
\(=7+\frac{9}{2}-\frac{6}{13}\)
\(=\frac{182}{26}+\frac{117}{26}-\frac{12}{26}\)
\(=\frac{287}{26}\)
\(\frac{-4}{11}.\frac{-3}{11}.\frac{-2}{11}........\frac{3}{11}.\frac{4}{11}\)
\(=\frac{\left(-4\right)\left(-3\right)\left(-2\right)\left(-1\right)0.1.2.3.4}{11}\)
\(=\frac{-4^2.-3^2.-2^2.-1^2.0}{11}=\frac{0}{11}=0\)