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Bài 1 Tìm số tự nhiên x biết
a, \(\frac{3}{x}\)> \(\frac{3}{5}\)
b, \(\frac{1}{5}\)< \(\frac{x}{5}\)
\(\frac{3}{2}x+\frac{1}{5}x=\frac{5}{8}\)
\(Xx\left(\frac{3}{2}+\frac{1}{5}\right)=\frac{5}{8}\)
\(x=\frac{5}{8}:\left(\frac{3}{2}+\frac{1}{5}\right)\)
\(x=\frac{25}{68}\)
Lấy 24 làm mẫu số chung, giữ nguyên \(\frac{25}{24}\) :
\(\frac{1}{2}=\frac{1\times12}{2\times12}=\frac{12}{24}\)
\(\frac{3}{8}=\frac{3\times3}{8\times3}=\frac{9}{24}\)
\(\frac{4}{6}=\frac{4\times4}{6\times4}=\frac{16}{24}\)
\(\frac{8}{4}=\frac{8\times6}{4\times6}=\frac{48}{24}\)
\(\rightarrow\) \(\frac{48}{24};\frac{25}{24}; \frac{16}{24} ;\frac{12}{24};\frac{9}{24}\)
\(\rightarrow\) \(\frac{8}{4} ; \frac{25}{24} ; \frac{4}{6} ; \frac{1}{2} ; \frac{3}{8}\)
X + 3/8=4/3
x =4/3-3/8
x =23/24
X x 1/9=21/8
X =21/8:1/9
X =7/24
X-5/4=7/6
X =7/6+5/4
X =21/8
X:8/3=5
X =5x8/3
X =40/3
Duyệt nha!
<=> 1+\(\frac{1}{2014}\)+\(\frac{1}{x}\)=\(\frac{1}{x+1}\)+1+\(\frac{1}{2013}\)
<=> \(\frac{1}{2014}\)+\(\frac{1}{x}\)=\(\frac{1}{x+1}\)+\(\frac{1}{2013}\)
<=> \(\frac{1}{x}\)-\(\frac{1}{x+1}\)=\(\frac{1}{2013}\)-\(\frac{1}{2013+1}\) => x=2013
\(\frac{2015}{2014}+\frac{1}{x}=\frac{1}{x+1}+\frac{2014}{2013}\)
\(\Leftrightarrow\frac{2015}{2014}-1+\frac{1}{x}=\frac{1}{x+1}+\frac{2014}{2013}-1\)
\(\Leftrightarrow\frac{1}{2014}+\frac{1}{x}=\frac{1}{x+1}+\frac{1}{2013}\)
\(\Leftrightarrow\frac{x+2014}{2014x}=\frac{x+2014}{2013\left(x+1\right)}\)
\(\Leftrightarrow2014x=2013x+2013\)
\(\Leftrightarrow x=2013\)
x là số 7,6,5,3