Trả lời câu hỏi dưới đây :
\(\frac{4}{3}\)x \(\frac{1}{2}\)+ \(\frac{1}{7}\)= ?
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![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{4}{7}+\frac{1}{7}\times\frac{2}{3}-\frac{1}{7}\times\frac{5}{2}\)
\(=\frac{4}{7}+\frac{1}{7}\text{}\text{}\times\left(\frac{2}{3}-\frac{5}{2}\right)\)
\(=\frac{4}{7}+\frac{1}{7}\text{}\text{}\times\frac{-11}{6}\)
\(=\frac{4}{7}+\frac{-11}{42}\)
\(=\frac{13}{42}\)
_Chúc bạn học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1: \(\left|2x+3\right|-\left|8-2x\right|=5\)
Với \(x< -\frac{3}{2}\), ta có: \(-2x-3-\left(8-2x\right)=5\Leftrightarrow-11=5\left(l\right)\)
Với \(-\frac{3}{2}\le x\le4\), ta có: \(2x+3-8+2x=5\Leftrightarrow4x=10\Leftrightarrow x=2,5\left(tm\right)\)
Với \(x>4\), ta có \(2x+3-2x+8=5\Leftrightarrow11=5\left(l\right)\)
Vậy x = 2,5.
Bài 2: Em tham khảo tại đây:
Câu hỏi của Nguyễn Khánh Ly - Toán lớp 7 - Học toán với OnlineMath
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a) \(\frac{x+1}{99}+\frac{x+2}{98}=\frac{x+3}{97}+\frac{x+4}{96}\)
\(\Rightarrow\frac{x+1}{99}+1+\frac{x+2}{98}+1=\frac{x+3}{97}+1+\frac{x+4}{96}+1\)
\(\Rightarrow\frac{x+100}{99}+\frac{x+100}{98}-\frac{x+100}{97}-\frac{x+100}{96}=0\)
\(\Rightarrow\left(x+100\right)\left(\frac{1}{99}+\frac{1}{98}-\frac{1}{97}-\frac{1}{96}\right)=0\)
Vì 1/99 + 1/98 - 1/97 - 1/96 khác 0
=> x + 100 = 0 => x = -100
b) \(\frac{x-3}{47}+\frac{x-2}{48}=\frac{x-1}{49}+1\)
\(\Rightarrow\frac{x-3}{47}-1+\frac{x-2}{48}-1=\frac{x-1}{49}+1-2\)
\(\Rightarrow\frac{x-50}{47}+\frac{x-50}{48}-\frac{x-50}{49}=0\)
\(\Rightarrow\left(x-50\right)\left(\frac{1}{47}+\frac{1}{48}-\frac{1}{49}\right)=0\)
Vì 1/47 + 1/48 - 1/49 khác 0
Nên x -50 = 0 => x = 50
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(\frac{3}{4}-\frac{13}{11}+\frac{7}{5}\right)-\left(3-\frac{1}{2}-\frac{35}{11}\right)+\left(\frac{11}{4}-\frac{2}{5}\right)\)
= \(\frac{3}{4}-\frac{13}{11}+\frac{7}{5}-3+\frac{1}{2}+\frac{35}{11}+\frac{11}{4}-\frac{2}{5}\)
= \(\left(\frac{3}{4}+\frac{11}{4}+\frac{1}{2}\right)\left(-\frac{13}{11}+\frac{35}{11}\right)+\left(\frac{7}{5}-\frac{2}{5}\right)-3\)
= \(8+2+1-3\)
= \(8\)
#)Giải :
\(\left(\frac{3}{4}-\frac{13}{11}+\frac{7}{5}\right)-\left(3-\frac{1}{2}-\frac{35}{11}\right)+\left(\frac{11}{4}-\frac{2}{5}\right)\)
\(=\frac{3}{4}-\frac{13}{11}+\frac{7}{5}-3+\frac{1}{2}+\frac{35}{11}+\frac{11}{4}-\frac{2}{5}\)
\(=\left(\frac{3}{4}+\frac{11}{4}\right)+\left(-\frac{13}{11}+\frac{35}{11}\right)+\left(\frac{7}{5}-\frac{2}{5}\right)-3+\frac{1}{2}\)
\(=\frac{7}{2}+2+1-3+\frac{1}{2}\)
\(=\frac{7}{2}+\frac{1}{2}\)
\(=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta co :
E=\(\frac{2}{2}+\frac{3}{2}+\frac{4}{2}+\frac{5}{2}+...+\frac{201}{2}\)
=\(\frac{2+3+4+5+...+201}{2}\)
=\(\frac{\left[\left(201+2\right)\left(201-2\right):1+1\right]:2}{2}\)
=\(\frac{40398:2}{2}\)
=\(\frac{20199}{2}\)
Đúng thì k không thì giúp tớ với
![](https://rs.olm.vn/images/avt/0.png?1311)
ta có
đặt 3/5+3/7-3/11=N=> N=3*(1/5+1/7-1/11)
đặt 4/5+4/7-4/11=P=> P=4*(1/5+1/7-1/11)
=> N/P=3*(1/5+1/7-1/11)/4*(1/5+1/7-1/11)=> M=3/4