\(=\dfrac{8\cdot10+8\cdot24+8\cdot28\cdot20}{18\cdot15+18\cdot36+18\cdot840}=\dfrac{8\left(10+24+560\right)}{18\left(15+36+840\right)}=\dfrac{4}{9}\cdot\dfrac{2}{3}=\dfrac{8}{27}\)
\(=\dfrac{8\cdot10+8\cdot24+8\cdot28\cdot20}{18\cdot15+18\cdot36+18\cdot840}=\dfrac{8\left(10+24+560\right)}{18\left(15+36+840\right)}=\dfrac{4}{9}\cdot\dfrac{2}{3}=\dfrac{8}{27}\)
Rút gọn N= \(\dfrac{\text{2^19 x 27 ^3 - 15 . 4^9 . 9^4}}{\text{69 x 2^10 - 12^10}}\)
P = \(\dfrac{2.4.10+4.6.8+14.16.20}{3.6.15+6.9.12+21.24.30}\)
Giups mik trong thời gian ngắn nhất vs . cảm ơn
câu 1 :a)tính :B=\(\frac{2.4.10+4.6.8+14.16.20}{3.6.15+6.9.12+21.24.30}\)
b)tìm các số tự nhiên a,b thỏa mãn điều kiện \(\frac{11}{17}\le\frac{a}{b}\le\frac{23}{29}\) và 8b-9a=31
Tính tỉ số \(\dfrac{A}{B}\) biết \(A=\dfrac{4}{7.31}+\dfrac{6}{7.41}+\dfrac{9}{10.41}+\dfrac{7}{10.57}\) và \(B=\dfrac{7}{19.31}+\dfrac{5}{19.43}+\dfrac{3}{23.43}+\dfrac{11}{23.57}\)
Cho A = \(\dfrac{1}{2014}\)+\(\dfrac{2}{2013}\)+\(\dfrac{3}{2012}\)+...+\(\dfrac{2013}{2}\)+2014
B = \(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{4}\)+...+\(\dfrac{1}{2015}\)
Tính giá trị \(\dfrac{A}{B}\)
\(\text{Câu 1: Cho các số A và B. Hãy tính tỉ số }\)\(\dfrac{A}{B}\) \(biết:\)
\(a\)) \(A=\dfrac{4}{7.31}+\dfrac{6}{7.41}+\dfrac{9}{10.41}+\dfrac{7}{10.57};\)
\(B=\dfrac{7}{19.31}+\dfrac{5}{19.43}+\dfrac{3}{23.43}+\dfrac{11}{23.57}\)
\(b\)) \(A=\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2021};\)
\(B=\dfrac{2020}{1}+\dfrac{2019}{2}+\dfrac{2018}{3}+...+\dfrac{1}{2020}\)
Tính nhanh:
\(B=\dfrac{-5}{9}+\dfrac{8}{15}+\dfrac{-2}{11}+\dfrac{4}{-9}+\dfrac{7}{15}\)
Tính tổng :
a) B = \(\dfrac{1}{5}\) + \(\dfrac{1}{20}\)+ \(\dfrac{1}{44}\) +\(\dfrac{1}{77}\) +\(\dfrac{1}{119}\) + \(\dfrac{1}{170}\) +\(\dfrac{1}{230}\) +\(\dfrac{1}{299}\)
b) C = \(\left(1+\dfrac{1}{1.3}\right)\) \(\left(1+\dfrac{1}{2.4}\right)\) \(\left(1+\dfrac{1}{3.5}\right)\) .....\(\left(1+\dfrac{1}{2014.2016}\right)\)
Tính B-C , biết B = 1.3.5. ... .99 và C = \(\dfrac{51}{2}.\dfrac{52}{2}.\dfrac{53}{2}.......\dfrac{100}{2}\) . giúp mk nhanh nha
Tính:
\(B=\left(\dfrac{-4}{5}+\dfrac{3}{3}\right)+\left(\dfrac{-5}{4}+\dfrac{14}{5}\right)+\left(\dfrac{7}{3}-2\right)\)