\(A=\dfrac{\dfrac{3}{11}+1-\dfrac{3}{7}}{3+\dfrac{9}{11}-\dfrac{9}{7}}-\dfrac{\dfrac{1}{3}+0,25-\dfrac{1}{5}+0.125}{\dfrac{7}{6}+\dfrac{7}{8}-0,7+\dfrac{7}{16}}\)
Cho: \(A=\dfrac{3}{2}-\dfrac{7}{4}+\dfrac{11}{8}-\dfrac{15}{16}+...+\dfrac{99}{2^{25}}\)
CMR: A < \(\dfrac{9}{5}\)
Cho các số hữu tỉ \(\dfrac{a}{b}\) và \(\dfrac{c}{d}\) với mẫu dương, trong đó \(\dfrac{a}{b}< \dfrac{c}{d}\) . Chứng minh rằng :
\(\dfrac{a}{b}< \dfrac{a+c}{b+d}< \dfrac{c}{d}\)
CMR: \(\dfrac{3}{2}+\dfrac{7}{4}+\dfrac{11}{8}+\dfrac{15}{16}+...+\dfrac{99}{2^{25}}< 7\)
1. thực hiện phép tính
a. 0,25: ( 10,3-9,8)-\(\dfrac{3}{4}\)
b. \(\dfrac{-5}{9}\).\(\dfrac{13}{28}\)-\(\dfrac{13}{28}\).\(\dfrac{4}{9}\)
c. \(\dfrac{6}{7}\)+\(\dfrac{5}{8}\):5-\(\dfrac{3}{16}\)
d. \(\dfrac{-5}{7}\).\(\dfrac{2}{11}\)+\(\dfrac{-5}{7}\).\(\dfrac{9}{11}\)+\(1\dfrac{5}{7}\)
e.\(\dfrac{-7}{12}\)-\(\dfrac{8}{15}\)+\(\dfrac{11}{20}\)
f. \(\dfrac{-17}{25}\).\(\dfrac{20}{33}\)+\(\dfrac{-17}{25}\).\(\dfrac{13}{33}\)+\(\dfrac{-3}{25}\)
2. thực hiện phép tính
a \(\dfrac{17}{15}:\dfrac{4}{3}\)
b.\(\dfrac{-12}{21}:\dfrac{34}{43}\)
c.\(\dfrac{-5}{9}.\dfrac{3}{11}+\dfrac{13}{18}.\dfrac{3}{11}\)
d.\(\dfrac{-2}{9}.\dfrac{5}{11}+\dfrac{-16}{9}.\dfrac{5}{11}\)
Thực hiện phép tính sau:
a, |-0,75| + \(\dfrac{1}{4}-2\dfrac{1}{2}\)
b, \(15.\dfrac{1}{5}:\left(\dfrac{-5}{7}\right)-2\dfrac{1}{5}.\left(\dfrac{-7}{5}\right)\)
c, \(\dfrac{5}{17}+\dfrac{2}{3}-\dfrac{20}{12}+\dfrac{7}{9}+\dfrac{12}{17}\)
d, \(\dfrac{5}{15}+\dfrac{14}{25}-\dfrac{12}{9}+\dfrac{2}{7}+\dfrac{11}{25}\)
giúp mk nha mk đang cần gấp
1. Tính nhanh giá trị biểu thức:
A = \(\dfrac{1}{3}-\dfrac{3}{5}+\dfrac{5}{7}-\dfrac{7}{9}+\dfrac{9}{11}-\dfrac{5}{7}+\dfrac{3}{5}-\dfrac{9}{11}\)
B = \(\dfrac{1}{5}-\dfrac{2}{7}-\left(-\dfrac{2}{3}\right)+\dfrac{1}{42}-\dfrac{1}{4}-\dfrac{13}{28}+\dfrac{2}{15}\)
C = \(\dfrac{1}{50}-\dfrac{1}{50.49}-\dfrac{1}{49.48}-...-\dfrac{1}{3.2}-\dfrac{1}{2.1}\)
D = \(\dfrac{0,75-0,6+\dfrac{3}{7}+\dfrac{3}{13}}{2,75-2,2+\dfrac{11}{7}+\dfrac{11}{3}}\)
bài 1: tính
a) \(\dfrac{5^4.20^4}{25^5.4^5}\) b)3,5-\(\left(-\dfrac{2}{7}\right)\) c)\(\left(\dfrac{11}{12}:\dfrac{33}{16}\right).\dfrac{3}{5}\) d)\(15.\left(-\dfrac{2}{3}\right)^2.-\dfrac{7}{3}\) e)\(\left(\dfrac{9}{25}-2.8\right):\left(3\dfrac{4}{5}+0,2\right)\) g)\(\dfrac{21}{47}+\dfrac{9}{45}+\dfrac{26}{47}+\dfrac{4}{5}\) h)\(\dfrac{15}{12}+\dfrac{5}{13}-\dfrac{3}{12}-\dfrac{18}{13}\) j)12.\(\left(-\dfrac{2}{3}\right)^2+\dfrac{4}{3}\) k)\(\dfrac{13}{25}+\dfrac{6}{41}-\dfrac{38}{25}+\dfrac{35}{41}-\dfrac{1}{2}\) l)12,5.\(\left(-\dfrac{5}{7}\right)+1,5.\left(-\dfrac{5}{7}\right)\) m)\(\sqrt{\dfrac{64}{25}}.3\dfrac{1}{2}-\dfrac{3}{5}.3\dfrac{1}{2}\)