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7/48 - (1/2 x 2 + 1/6 x 4 + 1/8 x 5 + 1/12 x 7 + 1/14 x 8) : x = 0
7/48 - (1 + 2/3 + 5/8 + 7/12 + 4/7) : x = 0 (đã rút gọn)
7/48 - (336/336 + 224/336 + 210/336 + 196/336 + 192/336) : x = 0 (quy đồng)
7/48 - 193/56 : x = 0
193/56 : x = 0 + 7/48
193/56 : x = 7/48
x = 193/56 : 7/48
x = 1158/49
\(\dfrac{1}{3}.x+\dfrac{2}{5}.\left(x+1\right)=0\)
\(\dfrac{1}{3}.x+\dfrac{2}{5}.x+\dfrac{2}{5}.1=0\)
\(x.\left(\dfrac{1}{3}+\dfrac{2}{5}\right)+\dfrac{2}{5}=0\)
\(x.\dfrac{11}{15}+\dfrac{2}{5}=0\)
\(x.\dfrac{11}{15}=0-\dfrac{2}{5}\)
\(x.\dfrac{11}{15}=-\dfrac{2}{5}\)
\(x=-\dfrac{2}{5}:\dfrac{11}{15}\)
\(x=-\dfrac{6}{11}\)
muốn viết phân số thì viết thế nào vậy bạn
\(x-\dfrac{1}{4}=\dfrac{5}{6}\times\dfrac{4}{9}\)
<=>\(x-\dfrac{1}{4}=\dfrac{10}{27}\)
<=>\(x=\dfrac{10}{27}+\dfrac{1}{4}=\dfrac{67}{108}\)
Bài làm:
Ta có: \(\frac{1}{1.3}+\frac{1}{2.4}+\frac{1}{3.5}+...+\frac{1}{98.100}\)
\(=\left(\frac{1}{1.3}+\frac{1}{3.5}+...+\frac{1}{97.99}\right)+\left(\frac{1}{2.4}+\frac{1}{4.6}+...+\frac{1}{98.100}\right)\)
\(=\frac{1}{2}\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{97}-\frac{1}{99}\right)+\frac{1}{2}\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{98}-\frac{1}{100}\right)\)
\(=\frac{1}{2}\left(1-\frac{1}{99}\right)+\frac{1}{2}\left(\frac{1}{2}-\frac{1}{100}\right)\)
\(=\frac{1}{2}.\frac{98}{99}+\frac{1}{2}.\frac{49}{100}\)
\(=\frac{49}{99}+\frac{49}{200}\)
\(=\frac{14651}{19800}\)
ta có :
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}=\frac{30+10+5+3+2}{60}=\frac{50}{60}=\frac{5}{6}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)
\(=\frac{2-1}{1.2}+\frac{3-2}{2.3}+\frac{4-3}{3.4}+\frac{5-4}{4.5}+\frac{6-5}{5.6}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=1-\frac{1}{6}=\frac{5}{6}\)
a; \(\dfrac{1}{-6}\) - (-\(x\)) = -1\(\dfrac{1}{3}\)
\(-\dfrac{1}{6}\) + \(x\) = - \(\dfrac{4}{3}\)
\(x\) = - \(\dfrac{4}{3}\) + \(\dfrac{1}{6}\)
\(x\) = - \(\dfrac{7}{6}\)
\(\dfrac{1}{-6}-\left(-x\right)=-1\dfrac{1}{3}\)
\(-\dfrac{1}{6}+x=-\dfrac{4}{3}\)
\(x=-\dfrac{4}{3}-\left(-\dfrac{1}{6}\right)\)
\(x=-\dfrac{4}{3}+\dfrac{1}{6}\)
\(x=-\dfrac{7}{6}\)