Cho A\(=\dfrac{\left(3\dfrac{2}{15}+\dfrac{1}{5}\right):2\dfrac{1}{2}}{\left(5\dfrac{3}{7}-2\dfrac{1}{4}\right):4\dfrac{43}{56}}\)
B\(=\dfrac{1,2:\left(1\dfrac{1}{5}\cdot1\dfrac{1}{4}\right)}{0,32+\dfrac{2}{25}}\)
Chứng tỏ A=B
Bài 1 : Tìm x
a) 4\(\dfrac{1}{2}\)x : \(\dfrac{5}{12}\)=0,5 b)1,5+1\(\dfrac{1}{4}\).x= \(\dfrac{2}{3}\) c) 7,5.1\(\dfrac{3}{4}\)=\(6\dfrac{2}{5}\) d)(x - 5):\(\dfrac{1}{3}\)=\(\dfrac{2}{5}\) e) (4,5-2x):\(\dfrac{3}{4}\)=1\(\dfrac{1}{3}\) f) (2,7x - 1\(\dfrac{1}{2}\)x) : \(\dfrac{2}{7}=\dfrac{-21}{7}\)
Bài 2 : tìm a,b biết
\(\dfrac{a}{27}=\dfrac{-5}{9}=\dfrac{-45}{b}\)
a) Tìm số nguyên a sao cho A=\(\dfrac{a^3+3a^2+2a-3}{a+1}\) có giá trị nguyên
b) Cho B=\(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+......+\dfrac{1}{9^2}\). Chứng minh rằng: \(\dfrac{8}{9}>B>\dfrac{2}{5}\)
a) A = \(\left(\dfrac{1}{1009}+\dfrac{1}{1010}+...+\dfrac{1}{2015}+\dfrac{1}{2016}\right):\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{4}+...\dfrac{1}{2015}-\dfrac{1}{2016}\right)\)
b) B = \(\dfrac{5x^2+3y^2}{10x^2-3y^2}\) biết \(\dfrac{x}{3}=\dfrac{y}{5}\)
1.Tìm x, y thuộc Z :
50- 5*(x + 3 )3=2|3- y|
2.Tính :
a, \(\dfrac{-1}{20}+\dfrac{-1}{30}+\dfrac{-1}{42}+\dfrac{-1}{56}+\dfrac{-1}{72}+\dfrac{-1}{90}\)
b,\(\dfrac{5}{2.1}+\dfrac{4}{1.11}+\dfrac{3}{11.2}+\dfrac{1}{2.15}+\dfrac{13}{15.4}\)
3.Tìm x :
a, \(\dfrac{x-5}{8}=\dfrac{18}{x-5}\) b, ( x-2 )10= ( 2-x )8
Bài 1:
Tìm x biết : x- 0,27 = \(\dfrac{\dfrac{73}{75}+\dfrac{73}{175}\dfrac{73}{285}}{25\left(\dfrac{5}{84}+\dfrac{3}{180}+\dfrac{4}{285}\right)}\)
Bài 2:Tìm 2 số biết \(\dfrac{5}{12}\) số thứ nhất \(\dfrac{3}{16}\)số thứ hai và hiệu của 2 số bằng 52,8
Bài 3:Tìm \(\in\) Z sao cho A=\(\dfrac{n^3-2n^2+3}{n-2}\)có giá trị là số nguyên.
Bài 4:
a) \(\dfrac{-\left(-x\right)}{5}\) - \(\dfrac{2}{10}\) = \(\dfrac{1}{-5}\)-\(\dfrac{7}{50}\)
b) \(\dfrac{x+1}{5}\)= \(\dfrac{7}{x-1}\)
Bài 1:
Cho A=\(\dfrac{1}{1^2}+\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+...+\dfrac{1}{50^2}\)
Chứng minh A<2
Bài 2:
Tính tổng: S=\(3+\dfrac{3}{2}+\dfrac{3}{2^2}+...+\dfrac{3}{2^9}\)
Giúp mình nha
Bài 1;Cho:
A=\(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{308}+\dfrac{1}{309}\)
B=\(\dfrac{308}{1}+\dfrac{307}{2}+\dfrac{306}{3}+...+\dfrac{3}{306}+\dfrac{2}{307}+\dfrac{1}{308}\)
Tính \(\dfrac{A}{B}\)
1.Thực hiện phép tính:
a, \(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2016}+\dfrac{1}{2017}\)
b, 2016+\(\dfrac{2015}{2}+\dfrac{2014}{3}+...+\dfrac{2}{2015}+\dfrac{1}{2016}\)
2.a. Tìm các số tự nhiên x, y. sao cho (2x+1)(y-5)=12
b.Tìm số tự nhiên sao cho 4n-5 chia hết cho 2n-1