Question

\(\frac{2}{3}.x-\frac{1}{2}.x=\frac{15}{12}\)

Answer 1

\(\frac{1}{6}x=\frac{15}{12}\)

\(x=\frac{15}{2}\)

Answer 2

\(\frac{2}{3}x-\frac{1}{2}x=\frac{15}{12}\)

\(x\left(\frac{2}{3}-\frac{1}{2}\right)=\frac{5}{4}\)

\(x\frac{1}{6}=\frac{5}{4}\)

\(x=\frac{5}{4}:\frac{1}{6}\)

\(x=\frac{15}{2}\)

Answer 3

\(\frac{2}{3}x-\frac{1}{2}x=\frac{15}{12}\)

\(\Leftrightarrow\frac{4}{6}x-\frac{3}{6}x=\frac{5}{4}\)

\(\Leftrightarrow x\left(\frac{4}{6}-\frac{3}{6}\right)=\frac{5}{4}\)

\(\Leftrightarrow\frac{1}{6}x=\frac{5}{4}\)

\(\Leftrightarrow x=\frac{5}{4}\div\frac{1}{6}\)

\(\Leftrightarrow x=\frac{5}{4}\times6\)

\(\Leftrightarrow x=\frac{15}{2}\)