\(-\frac{2}{5}+\frac{7}{11}+\left(-\frac{11}{10}\right)+\frac{7}{10}=-\frac{2}{5}+\frac{7}{11}-\frac{4}{10}\)=\(-\frac{9}{55}\)
Bài 1: rút gọn các phân số sau:
a) \(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\)
b) \(\frac{-11^5.13^7}{11^5.13^8}\)
c) \(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}\)
d) \(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}\)
\(\frac{10+\frac{9}{2}+\frac{8}{3}+\frac{7}{4}+ \frac{6}{5}+\frac{5}{6}+\frac{4}{7}+\frac{3}{8}+\frac{2}{9}+\frac{1}{10}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{10}+\frac{1}{11}}\)
1.tính các biểu thức sau bằng một cách hợp lí
a.\(\frac{108}{119}.\frac{107}{211}+\frac{108}{119}.\frac{104}{211}\)
b.\(\frac{15}{19}.\frac{27}{33}+\frac{15}{19}.\frac{19}{33}-\frac{15}{19}.\frac{13}{33}\)
c.\(\frac{-4}{5}.\frac{13}{10}+\frac{-4}{5}.\frac{7}{10}-\frac{-4}{5}\)
d.\(\frac{\frac{-2}{7}-\frac{-2}{15}+\frac{-2}{39}}{\frac{5}{7}-\frac{5}{15}+\frac{5}{39}}\)
e.\(\frac{3}{5}.\frac{15}{7}-\frac{15}{7}.\frac{8}{5}\)
f.\(\frac{2}{3}+\frac{1}{3}.\left(\frac{-4}{9}+\frac{5}{6}\right):\frac{7}{12}\)
h.\(\frac{\frac{3}{5}+\frac{3}{7}-\frac{3}{11}}{\frac{4}{5}+\frac{4}{7}-\frac{4}{11}}\)
g.\(\frac{3}{-4}+\frac{2}{7}+\frac{-1}{4}+\frac{5}{7}+\frac{21}{22}.\frac{66}{7}\)
k.\(\frac{27.18+27.103-120.27}{15.33+33.12}\)
l.\(\frac{\frac{2}{5}+\frac{2}{7}-\frac{2}{9}-\frac{2}{11}}{\frac{4}{5}+\frac{4}{7}-\frac{4}{9}-\frac{4}{11}}\)
Tính nhanh và hợp lí : \(\frac{5}{7}.\frac{5}{11}+\frac{5}{7}.\frac{8}{11}-\frac{5}{7}.\frac{2}{11}\)
Tính nhanh:
A=\(\frac{\frac{2}{13}+\frac{2}{15}-\frac{2}{11}}{\frac{68}{34}+\frac{68}{30}-\frac{68}{22}}+\frac{\frac{32}{10}+\frac{32}{14}-\frac{32}{18}}{\frac{17}{5}+\frac{17}{7}-\frac{17}{9}}\)
Tính nhanh
\(\frac{\frac{2}{5}+\frac{2}{7}+\frac{2}{9}+\frac{2}{11}+\frac{2}{13}}{\frac{3}{5}+\frac{3}{7}+\frac{3}{9}+\frac{3}{11}+\frac{3}{13}}+\frac{15151515}{45454545}\)
a) ( \(5\frac{2}{7}\). \(\frac{8}{11}\)+ \(\frac{2}{11}\). 5\(\frac{2}{7}\)) : \(3\frac{4}{11}\)- \(1\frac{3}{7}\)
TÍNH bằng cách hợp lí
a) A=\(\frac{44.66+34.41}{3+7+11+...+79}\)
b) B=\(\frac{1+2+3+.....+200}{6+8+10+....+34}\)
c) C=\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20+9.27.45}\)
Các bạn giải hộ mình
Chú ý: vd: 44.66 +34.41 là phép nhân
3+7+11+.....+79 dấu ..... ko phải là phép nhân
Cảm ơn các bạn rất nhìu
tính nhanh : \(\frac{\frac{2}{3}-\frac{1}{4}+\frac{5}{11}}{\frac{5}{12}+1-\frac{7}{11}}\)
