Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
3/ Chu vi hình chữ nhật:
\(\left(\dfrac{1}{4}+\dfrac{3}{10}\right)\cdot2=\dfrac{11}{10}\) (chưa biết đơn vị)
Diện tích hình chữ nhật:
\(\dfrac{1}{4}\cdot\dfrac{3}{10}=\dfrac{11}{20}\) (chưa biết đơn vị)
1,=0 . [2017/2018+2018/2019]
=>0
2,TH1 x-3=0=>x=3
TH2 y-4=0=>y=4
3, -2/4 = -x/10 = 16/y
=>-1/2 = -x/10 = 16/y
=>-1/2 = -x/10 => -5/10 = -x/10 => x=5
-1/2 = 16/y => 16/-32 = 16/y => y = -32
\(A=\dfrac{1}{1.3}+\dfrac{1}{3.5}+\dfrac{1}{5.7}+...+\dfrac{1}{2009.2011}\)
\(A=\dfrac{1}{2}.\left(\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{2009.2011}\right)\)
\(A=\dfrac{1}{2}.\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{2009}-\dfrac{1}{2011}\right)\)
\(A=\dfrac{1}{2}.\left(1-\dfrac{1}{2011}\right)\)
\(A=\dfrac{1}{2}.\dfrac{2010}{2011}\)
\(A=\dfrac{1005}{2011}\)
\(A=\dfrac{1}{1.3}+\dfrac{1}{3.5}+...+\dfrac{1}{2009.2011}\)
\(=\dfrac{1}{2}\left(\dfrac{2}{1.3}+\dfrac{2}{3.5}+...+\dfrac{2}{2009.2011}\right)\)
\(=\dfrac{1}{2}\left(\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{2009}-\dfrac{1}{2011}\right)\)
\(=\dfrac{1}{2}\left(1-\dfrac{1}{2011}\right)\)
\(=\dfrac{1}{2}.\dfrac{2010}{2011}\)
\(=\dfrac{1005}{2011}\)
Vậy \(A=\dfrac{1005}{2011}\)
a) \(\dfrac{1}{6},\dfrac{1}{3},\dfrac{1}{2},\dfrac{2}{3}\)
Vì \(\dfrac{1}{6}:\dfrac{1}{2}=\dfrac{1}{3}\) ; \(\dfrac{1}{3}:\dfrac{2}{3}=\dfrac{1}{2}\) nên suy ra \(\dfrac{1}{2}:\dfrac{3}{4}=\dfrac{2}{3}\)
Vậy số để điền vào chỗ trống là \(\dfrac{2}{3}\).
b) \(\dfrac{1}{8},\dfrac{5}{24},\dfrac{7}{24},\dfrac{3}{8}\)
Vì \(\dfrac{1}{8}:\dfrac{3}{5}=\dfrac{5}{24}\) ; \(\dfrac{5}{24}:\dfrac{5}{7}=\dfrac{7}{24}\) nên suy ra \(\dfrac{7}{24}:\dfrac{7}{9}=\dfrac{3}{8}\)
Vậy số để điền vào chỗ trống là \(\dfrac{3}{8}\).
c) \(\dfrac{1}{5},\dfrac{1}{4},\dfrac{3}{10},\dfrac{7}{20}\)
Vì \(\dfrac{1}{5}:\dfrac{4}{5}=\dfrac{1}{4}\) ; \(\dfrac{1}{4}:\dfrac{5}{6}=\dfrac{3}{10}\) nên suy ra \(\dfrac{3}{10}:\dfrac{6}{7}=\dfrac{7}{20}\)
Vậy số để điền vào chỗ trống là \(\dfrac{7}{20}\).
a: \(=\dfrac{6}{18}+\dfrac{3}{18}+\dfrac{2}{18}+\dfrac{1}{18}=\dfrac{15}{18}=\dfrac{5}{6}\)
b: \(=\dfrac{7}{4}-\dfrac{5}{4}-\dfrac{2}{4}=0\)
c: \(=\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{9\cdot10}\)
\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{9}-\dfrac{1}{10}\)
=1/2-1/10=4/10=2/5