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\(1\frac{4}{23}-\frac{5}{21}-\frac{4}{23}+2014-\frac{16}{21}\)
\(=\left(1\frac{4}{23}-\frac{4}{23}\right)-\left(\frac{5}{21}+\frac{16}{21}\right)+2014\)
= 1 - 1 + 2014
= 0 + 2014 = 2014
A = \(\left(\frac{1}{15}-\frac{1}{15}\right)\)\(+\left(\frac{3}{7}-\frac{3}{7}\right)\)\(+\left(\frac{5}{9}-\frac{5}{9}\right)\)\(+\left(\frac{2}{11}-\frac{2}{11}\right)\)\(+\left(\frac{7}{13}-\frac{7}{13}\right)\)\(-\frac{9}{16}\)
A = 0 + 0 + 0 + 0 + 0 - \(\frac{9}{16}\)
A = \(-\frac{9}{16}\)
\(A=\frac{1}{5}-\frac{3}{7}+\frac{5}{9}-\frac{2}{11}+\frac{7}{13}-\frac{9}{16}-\frac{7}{13}+\frac{2}{11}-\frac{5}{9}+\frac{3}{7}-\frac{1}{5}\)
\(=\left(\frac{1}{5}-\frac{1}{5}\right)-\left(\frac{3}{7}-\frac{3}{7}\right)+\left(\frac{5}{9}-\frac{5}{9}\right)-\left(\frac{2}{11}-\frac{2}{11}\right)+\left(\frac{7}{13}-\frac{7}{13}\right)-\frac{9}{16}\)
\(=0-0+0-0+0-\frac{9}{16}\)
\(=-\frac{9}{16}\)
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


a) \(\frac57.\frac{5}{11}+\frac57.\frac{6}{11}-\frac57.\frac{4}{11}\)
\(=\frac57.\left(\frac{5}{11}+\frac{6}{11}-\frac{4}{11}\right)\)
\(=\frac57.\frac{7}{11}\)
\(=\frac{5}{11}\)
b) \(1,2-3^2+7,5:3\)
\(=1,2-9+2,5\)
\(=-7,8+2,5\)
\(=-5,3\)