\(\frac{\frac{-6}{7}+\frac{6}{19}+\frac{-6}{31}}{\frac{9}{7}+\frac{-9}{19}+\frac{9}{31}}=\frac{-2\times\left(\frac{3}{7}+\frac{-3}{19}+\frac{3}{31}\right)}{3\times\left(\frac{3}{7}+\frac{-3}{19}+\frac{3}{31}\right)}\)
\(=\frac{-2}{3}\)
\(\frac{\frac{-6}{7}+\frac{6}{19}+\frac{-6}{31}}{\frac{9}{7}+\frac{-9}{19}+\frac{9}{31}}=\frac{-2\times\left(\frac{3}{7}+\frac{-3}{19}+\frac{3}{31}\right)}{3\times\left(\frac{3}{7}+\frac{-3}{19}+\frac{3}{31}\right)}\)
\(=\frac{-2}{3}\)
Tính:
a)\(\frac{5\cdot18-10\cdot27+15\cdot36}{10\cdot36-20\cdot54+30\cdot27}\)
b)\(\frac{\frac{-6}{7}+\frac{6}{19}-\frac{6}{31}}{\frac{9}{7}-\frac{9}{19}+\frac{9}{31}}\)
tính nhanh :
\(B=\frac{1}{3\cdot7}+\frac{1}{7\cdot11}+\frac{1}{11\cdot15}+\frac{1}{15\cdot19}+\frac{1}{19\cdot23}+\frac{1}{23\cdot27}+\frac{1}{27\cdot31}+\frac{1}{31\cdot35}\)
\(A=\frac{1}{3}-\frac{3}{5}+\frac{5}{7}-\frac{7}{9}+\frac{9}{11}-\frac{11}{13}+\frac{13}{15}+\frac{11}{13}-\frac{9}{11}+\frac{7}{9}-\frac{5}{7}+\frac{3}{5}-\frac{1}{3}\)
\(\left(\frac{112}{13.20}+\frac{112}{20.27}+\frac{112}{27.34}+....+\frac{112}{62.69}\right):\left(\frac{5}{9\cdot13}-\frac{7}{9\cdot25}-\frac{9}{19\cdot25}-\frac{31}{19\cdot69}\right)\)
Tính nhanh \(\left(-\frac{4}{13}+\frac{17}{19}\right):-\frac{31}{32}+\left(-\frac{9}{13}+\frac{2}{19}\right):-\frac{33}{31}\)=?
Tính
\(\frac{1\frac{11}{31}.4\frac{3}{7}-\left(15.6\frac{1}{3}.\frac{2}{19}\right)}{-4\frac{5}{6}+\frac{1}{6}.\left(12-5\frac{1}{3}\right)}.\left(-1\frac{14}{93}\right).\frac{31}{56}\)
Tính giá trị biểu thức:
\(A=\left[\frac{1\frac{11}{31}.4\frac{3}{7}-\left(15-6\frac{1}{3}.\frac{2}{19}\right)}{4\frac{5}{6}+\frac{1}{6}\left(12-5\frac{1}{3}\right)}.\left(-1\frac{14}{93}\right)\right].\frac{31}{50}\)
tinh nhanh
M=\(\frac{75-\frac{6}{13}+\frac{3}{17}-\frac{3}{19}}{275-\frac{22}{13}+\frac{11}{7}-\frac{11}{9}}\)
tính tổng
\(A=\frac{4}{7\times31}+\frac{6}{7\times41}+\frac{9}{10\times41}+\frac{7}{10\times57}\)
\(B=\frac{7}{19\times31}+\frac{5}{19\times43}+\frac{3}{23\times43}+\frac{7}{10\times57}\)
1.\(\left(\frac{-6}{5}+\frac{6}{16}-\frac{6}{23}\right):\left(\frac{9}{5}-\frac{9}{19}+\frac{9}{23}\right)\)
2.\(\frac{\frac{3}{7}-\frac{3}{-11}+\frac{3}{13}}{\frac{5}{7}-\frac{5}{11}+\frac{5}{13}}+\frac{0,5-\frac{1}{3}+\frac{1}{4}}{\frac{-3}{2}+1-\frac{3}{4}}\)