tính
\(\dfrac{-21}{10}+\dfrac{21}{10}.\dfrac{3}{4}-\dfrac{3}{4}\)
tính cách nhanh nhất:
\(\dfrac{4}{20}+\dfrac{16}{42}+\dfrac{6}{15}-\dfrac{3}{5}+\dfrac{2}{21}-\dfrac{10}{21}+\dfrac{3}{20}\)
\(\dfrac{42}{46}+\dfrac{250}{186}-\dfrac{2121}{2323}+\dfrac{125125}{143143}\)
Tính hợp lý :
a,\(\left(\dfrac{136}{15}-\dfrac{28}{5}+\dfrac{62}{10}\right).\dfrac{21}{24}\)
b,\(\dfrac{3}{11}.\dfrac{4}{11}+\left(\dfrac{3}{13}.\dfrac{4}{11}-\dfrac{1}{13}\right)\)
Các bạn giúp với :<
Bài 1:
a, CMR: A = \(\dfrac{3}{1^2.2^2}+\dfrac{5}{2^2.3^2}+\dfrac{7}{3^2.4^2}+...+\dfrac{21}{10^2.11^2}< 1\)
b, Cho B = \(\dfrac{3}{4}+\dfrac{8}{9}+\dfrac{15}{16}+\dfrac{24}{25}+...+\dfrac{2499}{2500}.\) CMR: B không phải là số nguyên.
c, So sánh: C = \(\dfrac{2}{2^1}+\dfrac{3}{2^2}+\dfrac{4}{2^3}+...+\dfrac{2021}{2^{2020}}\) với 3.
so sanh
M=\(\left(\dfrac{1}{2^2}-1\right).\left(\dfrac{1}{3^2}-1\right).\left(\dfrac{1}{4^2}-1\right)...\left(\dfrac{1}{100^2}-1\right)\)va \(\dfrac{1}{2}\)
B=\(\dfrac{1}{20}+\dfrac{1}{21}+...+\dfrac{1}{200}va\dfrac{9}{10}\)
C=\(\dfrac{10}{17}+\dfrac{8}{15}+\dfrac{11}{16}va2\)
1. tính
a. \(\dfrac{3}{5}\)-\(\dfrac{2}{3}\)+\(\dfrac{16}{15}\)
b. (\(\dfrac{5}{6}\)-\(\dfrac{4}{5}\)):\(\dfrac{7}{30}\)-\(\dfrac{6}{7}\)
c. \(\dfrac{4}{11}\).\(\dfrac{-2}{9}\)+\(\dfrac{4}{11}\).\(\dfrac{-8}{9}\)+\(\dfrac{4}{11}\).\(\dfrac{1}{9}\)
d.\(\dfrac{-13}{10}\)-\(\dfrac{15}{16}\):\(\dfrac{-3}{4}\)+\(\dfrac{21}{25}\).\(\dfrac{-15}{28}\)
P=\(\left(\dfrac{1}{5}+\dfrac{1}{21}-\dfrac{1}{2015}\right):\left(\dfrac{1}{21}+\dfrac{1}{5}-\dfrac{1}{2015}+\dfrac{1}{5}.\dfrac{2}{21}.\dfrac{3}{2015}\right)+6:\left(26.2015-99\right)\)
Hãy chọn cặp gồm hai phân số bằng nhau.
\(\dfrac{15}{-10}\) và \(\dfrac{5}{4}\)
\(\dfrac{-3}{2}\) và \(\dfrac{2}{-3}\)
\(\dfrac{2}{-3}\) và \(\dfrac{-15}{-12}\)
\(\dfrac{15}{-10}\) và \(\dfrac{-3}{2}\)
Tìm x biết \(\dfrac{x}{6}+\dfrac{x}{10}+\dfrac{x}{15}+\dfrac{x}{21}+\dfrac{x}{28}+\dfrac{x}{36}+\dfrac{x}{45}+\dfrac{x}{55}+\dfrac{x}{66}+\dfrac{x}{78}=\dfrac{220}{39}\)