Ta có: \(\frac{x-2}{12}+\frac{x-2}{20}+\frac{x-2}{30}+\frac{x-2}{42}=42^5:\left(2^3\cdot21^6\right)\)
\(\Leftrightarrow\left(x-2\right)\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\right)=\frac{2^5\cdot21^5}{2^3\cdot21^5\cdot21}\)
\(\Leftrightarrow\left(x-2\right)\cdot\frac{4}{21}=\frac{4}{21}\)
\(\Leftrightarrow x-2=1\)
hay x=3
Vậy: x=3
Tìm x, biết:
a) \(\frac{29}{30}\)-\((\frac{13}{23}\)+x\()\)=\(\frac{7}{69}\)
b) \(\frac{1}{2}\)+\(\frac{1}{6}\)+\(\frac{1}{12}\)+...+\(\frac{1}{x\left(x+1\right)}\)=\(\frac{2011}{2012}\)
Tìm x, biết:
a)x=\(\frac{-1}{2}+\frac{3}{4}\)
b)\(\frac{x}{5}=\frac{5}{6}+\frac{-19}{30}\)
Tính giá trị biểu thức:
a) A= 2/20 + 2/30 + 2/42 + .... + 2/240
b) B= 5/6 + 11/12 + 19/20 + 29/30 + 41/42 + 55/56
BT1; Tính;
a,2:\(\frac{-1}{3}\)+\(\frac{1}{3}\).\(\frac{2}{7}\)+\(\frac{1}{3}\).\(\frac{5}{7}\)
b,9,12+88%-1\(\frac{1}{5}\):\(\frac{1}{10}\)
c,\(\frac{5}{6}\)x+\(\frac{1}{4}\)x=\(\frac{1}{6}\)-\(\frac{5}{4}\)
Tính nhanh :
\(\frac{-5}{11}\)+\(\left(\frac{-6}{11}+2\right)\)
thực hiện phép cộng:
a) \(\frac{2}{5}+\frac{3}{5}\)
b) \(\frac{1}{2}+\frac{-3}{4}\)
c) \(\frac{1}{2}+\frac{1}{3}+\frac{1}{9}\)
d)\(\frac{-9}{18}+\frac{6}{12}\)
CÂU HỎI: PHÉP CỘNG PHÂN SỐ CÓ CÁC TÍNH CHẤT NÀO?
\(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{99}}+\frac{1}{2^{100}}+\frac{1}{2^{100}}\)
Giúp mk với...
Chứng minh rằng : \(\frac{5}{6}-\frac{2}{3^2}+\frac{3}{3^3}-\frac{4}{3^4}+...+\frac{99}{3^{99}}-\frac{100}{3^{100}}< \frac{11}{16}\)
\(10+\frac{12}{1+2}+\frac{12}{1+2+3}+...+\frac{12}{1+2+3+...+2001}\)
