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\(yX\frac{1}{2}X\frac{3}{4}+y:\frac{8}{5}-\frac{y}{2}=\frac{1}{2}\)
\(yX\frac{3}{8}+yX\frac{5}{8}-y:2=\frac{1}{2}\)
\(yX\left(\frac{3}{8}+\frac{5}{8}\right)-y:\frac{2}{1}=\frac{1}{2}\)
\(yX1-yX\frac{1}{2}=\frac{1}{2}\)
\(yX\left(1-\frac{1}{2}\right)=\frac{1}{2}\)
\(yX\frac{1}{2}=\frac{1}{2}\)
\(y=\frac{1}{2}:\frac{1}{2}\)
\(y=1\)
\(\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}\)
\(=\frac{3-2}{2\times3}+\frac{4-3}{3\times4}+\frac{5-4}{4\times5}+\frac{6-5}{5\times6}\)
\(=\frac{3}{2\times3}-\frac{2}{2\times3}+\frac{4}{3\times4}-\frac{3}{3\times4}+\frac{5}{4\times5}-\frac{4}{4\times5}+\frac{6}{5\times6}-\frac{5}{5\times6}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=\frac{1}{2}-\frac{1}{6}\)
\(=\frac{1}{3}\)
\(a)\) \(2x-5=21\)
\(\Leftrightarrow\) \(2x=21+5\)
\(\Leftrightarrow\) \(2x=26\)
\(\Leftrightarrow\) \(x=26:2\)
\(\Leftrightarrow\) \(=13\)
\(b)\) \(\frac{3}{4}+\frac{1}{4}x=\frac{5}{6}\)
\(\Leftrightarrow\) \(\frac{1}{4}x=\frac{5}{6}-\frac{3}{4}\)
\(\Leftrightarrow\) \(\frac{1}{4}x=\frac{1}{12}\)
\(\Leftrightarrow\) \(x=\frac{1}{3}\)
=1+6+4-5
=11-5
=6
1 + 2 x 3 + 4 - 5
=1 + 6 + 4 - 5
= 11 - 5
= 6