\(=\dfrac{-3\cdot4-4\cdot2}{5\cdot29}+\dfrac{33}{29}=\dfrac{-5\cdot4}{5\cdot29}+\dfrac{33}{29}=\dfrac{-4}{29}+\dfrac{33}{29}=1\)
3/ Tính hợp lí :
a/ P = \(\dfrac{-2}{7}\) + \(\dfrac{14}{29}\) + \(\dfrac{12}{33}\) + \(\dfrac{15}{29}\) + \(\dfrac{21}{33}\) + \(\dfrac{2}{7}\)
b/ \(\dfrac{2}{7}\) . \(\dfrac{5}{19}\) + \(\dfrac{2}{7}\) . \(\dfrac{14}{19}\) + \(\dfrac{21}{19}\) - \(\dfrac{2}{7}\) . \(\dfrac{1}{5}\)
tính một cách hợp lí:
a) \(\dfrac{-5}{18}+\dfrac{32}{45}-\dfrac{9}{10}\)
b) \(\left(\dfrac{-1}{4}+\dfrac{51}{33}-\dfrac{5}{3}\right)-\left(\dfrac{-15}{12}+\dfrac{6}{11}-\dfrac{42}{29}\right)\)
c) \(1-\dfrac{1}{2}+2-\dfrac{2}{3}+3-\dfrac{3}{4}+4-\dfrac{1}{4}-3-\dfrac{1}{3}-2-\dfrac{1}{2}-1\)
giải chi tiết giúp mình nha
tính bằng cách hợp lý:
\(\dfrac{-7}{29}+2\dfrac{1}{4}+73\dfrac{7}{29}+\dfrac{5}{9}:\left(-4\dfrac{1}{7}\right)\)
(\(\dfrac{617}{191}\) + \(\dfrac{29}{33}\) - \(\dfrac{115}{117}\))(\(\dfrac{1}{4}\) + \(\dfrac{-1}{5}\) - \(\dfrac{1}{20}\))
1. Cho N=\(\dfrac{1}{31}+\dfrac{1}{32}+...+\dfrac{1}{60}\)
CMR \(\dfrac{3}{5}< N< \dfrac{4}{5}\)
2. Cho M=\(\dfrac{1}{3}-\dfrac{2}{3^2}+\dfrac{3}{3^3}-\dfrac{4}{3^4}+...+\dfrac{29}{3^{29}}-\dfrac{30}{3^{30}}\)
CMR \(M< \dfrac{3}{16}\)
3. Cho Q=\(\dfrac{2}{3}+\dfrac{8}{9}+\dfrac{26}{27}+...+\dfrac{3^{2021}-1}{3^{2021}}\)
CMR \(Q>\dfrac{4041}{2}\)
c, \(\dfrac{-3}{8}\).\(\dfrac{2}{5}\)+\(\dfrac{-3}{8}\).\(\dfrac{14}{5}\) d, (\(\dfrac{1}{4}\)+\(\dfrac{11}{9}\)):\(\dfrac{34}{5}\)+(\(\dfrac{-2}{9}\)+\(\dfrac{29}{4}\)):\(\dfrac{34}{5}\)
*Thực hiện
1/ (\(\dfrac{2021}{2020}\)+\(\dfrac{2020}{2021}\)) x (\(\dfrac{1}{2}\)-\(\dfrac{1}{3}\)-\(\dfrac{1}{6}\))
2/ (\(\dfrac{7}{19}\)-\(\dfrac{5}{12}\)):\(\dfrac{-5}{8}\)-(\(\dfrac{7}{19}\)-\(\dfrac{29}{12}\)):\(\dfrac{5}{8}\)
3/ \(\dfrac{-5}{6}\)x\(\dfrac{7}{24}\)-\(\dfrac{5}{6}\)x\(\dfrac{14}{24}\)-\(\dfrac{5}{6}\)x\(\dfrac{3}{24}\)
Thực hiện phép tính:
a) \(\dfrac{-4}{3}\) - \(\dfrac{2}{7}\) + \(\dfrac{4}{3}\)
b) \(\dfrac{1}{2}\) + \(\dfrac{-4}{5}\) - \(\dfrac{3}{10}\)
thực hiện phép tính
\(\dfrac{5}{12}+\dfrac{-7}{12}\)
\(\dfrac{1}{2}+\dfrac{-2}{3}\)
\(\dfrac{3}{5}-\dfrac{4}{3}\)
\(\dfrac{-15}{14}.\dfrac{21}{20}\)
Thực hiện phép tính:
1, \(\left(\dfrac{2}{3}-1\dfrac{1}{2}\right):\dfrac{4}{3}+\dfrac{1}{2}\)
2, \(\dfrac{-5}{13}+\dfrac{2}{5}+\dfrac{-8}{13}+\dfrac{3}{5}-\dfrac{3}{7}\)
