e,\(A=\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+\frac{29}{30}+\frac{41}{42}=\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{6}\right)+\left(1-\frac{1}{12}\right)+\left(1-\frac{1}{20}\right)+\left(1-\frac{1}{20}\right)+\left(1-\frac{1}{42}\right)\)
\(\Rightarrow A=1-\frac{1}{2}+1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+1-\frac{1}{30}+1-\frac{1}{42}=4-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\right)\)
\(\Rightarrow A=4-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\right)=4-\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\right)\)
\(\Rightarrow A=4-\left(\frac{1}{1}-\frac{1}{7}\right)=4-\frac{6}{7}=3\frac{1}{7}\)
Thực hiện phép tính:
a)\(\frac{3}{4}\)x\(\frac{16}{9}\)-\(\frac{7}{5}\):\(\frac{-21}{20}\)
b)\(2\frac{1}{3}\)-\(\frac{1}{3}\)x [\(\frac{-3}{2}\)+(\(\frac{2}{3}\)+0,4x5) ]
c) (20+\(9\frac{1}{4}\)):\(2\frac{1}{4}\)
d) (6-\(2\frac{4}{5}\)x\(3\frac{1}{8}\)-\(1\frac{3}{5}\):\(\frac{1}{4}\)
GIÚP MIK VỚI AI NHANH MIK TICK LUÔN CHO.
Ra đề ai xong trc , đúng nhất tặng 3 tik ( ko điêu )
Bài 1 : Tính
a) \(\frac{1}{3}+\frac{2}{5}\)
b) \(\frac{5}{2}-\frac{3}{2}\)
c) \(\frac{1}{2}\times\frac{2}{4}\)
d) \(\frac{9}{5}\div\frac{6}{2}\)
Bài 2 : Tìm x ( đễ thôi )
a) ( x + 5 ) . ( x + 4 ) = 0
b) 2x + 48 = 96
c) |x + 9| - 3 = 5
1) Tính:
a) \(\frac{3}{5}+\left(-\frac{1}{4}\right)\)
b) \(\left(-\frac{5}{18}\right)\left(-\frac{9}{10}\right)\)
c) \(4\frac{3}{5}:\frac{2}{5}\)
2) Tìm x:
a)\(\frac{12}{x}=\frac{3}{4}\)
b) \(x:\left(\frac{-1}{3}\right)^3=\left(\frac{-1}{3}\right)^2\)
c) \(\frac{-11}{12}.x+0,25=\frac{5}{6}\)
d) \(\left(x-1\right)^5=-32\)
3) Cho |m| = -3, tìm m:
4) Các cạnh của một tam giác có số đo tỉ lệ với các số 3; 4; 5. Tính cạnh của tam giác biết chu vi của nó là 13,2 cm
b, \(M=A-B=\frac{\sqrt{x}+2}{\sqrt{x}+3}-\left(\frac{5}{x+\sqrt{x}-6}+\frac{1}{\sqrt{x}-2}\right)\)
\(=\frac{\sqrt{x}+2}{\sqrt{x}+3}-\frac{5}{x+\sqrt{x}-6}-\frac{1}{\sqrt{x}-2}\)
\(=\frac{\left(\sqrt{x}+2\right)\left(\sqrt{x}-2\right)}{x+\sqrt{x}-6}-\frac{5}{x+\sqrt{x}-6}-\frac{1\left(\sqrt{x}+3\right)}{x+\sqrt{x}-6}\)
\(=\frac{x-4-5-\sqrt{x}-3}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}=\frac{x-\sqrt{x}-12}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}=\frac{x-4\sqrt{x}+3\sqrt{x}-12}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}\)\(=\frac{\left(\sqrt{x}-4\right)\left(\sqrt{x}+3\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+3\right)}=\frac{\sqrt{x}-4}{\sqrt{x}-2}\)
Tính bằng cách thuận tiện nhất:
\(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{4}{6}+\frac{9}{12}+\frac{16}{20}\)
B1: tính
B=(\(3^4.57-9^2.21\)):\(3^5\)
b2:tìm x \(\in Z\)
a)\(\left(x-1\right)^{x+2}=\left(x-1\right)^{x+4}\)
b)\(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}.\frac{4}{10}.......\frac{31}{64}=2^x\)
\(\frac{9}{15}X\frac{12}{1}X\frac{5}{6}\)
a,\(8x^3-12x^2+6x-5=0\Leftrightarrow8\left(x^3-\frac{3}{2}x^2+\frac{3}{4}x-\frac{1}{8}\right)-4=0\)
\(\Leftrightarrow8\left(x-\frac{1}{2}\right)^3=4\Leftrightarrow\left(x-\frac{1}{2}\right)^3=\frac{1}{2}\Leftrightarrow x=\frac{1}{\sqrt[3]{2}}+\frac{1}{2}\)