Question

\(\frac{x}{2}+\frac{x}{3}+\frac{x}{6}=\frac{13}{12}\) tìm x

Answer 1

\(\frac{x}{2}+\frac{x}{3}+\frac{x}{6}=\frac{13}{12}\)

<=>\(\frac{3x}{6}+\frac{2x}{6}+\frac{x}{6}=\frac{13}{12}\)

<=>\(\frac{3x+2x+x}{6}=\frac{13}{12}\)

<=>\(\frac{6x}{6}=\frac{13}{12}\)

<=>x =\(\frac{13}{12}\).

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Answer 2

\(\frac{x}{2}+\frac{x}{3}+\frac{x}{6}=\frac{13}{12}\)

\(\frac{6x}{12}+\frac{4x}{12}+\frac{2x}{12}=\frac{13}{12}\)

\(\frac{12x}{12}=\frac{13}{12}\)

\(\Rightarrow x=\frac{13}{12}\)

Answer 3

\(\frac{x}{2}+\frac{x}{3}+\frac{x}{6}=\frac{13}{12}\)

\(\Leftrightarrow\frac{6x+4x+2x}{12}=\frac{13}{12}\)

\(\Leftrightarrow6x+4x+2x=13\Leftrightarrow12x=13\Leftrightarrow x=\frac{13}{12}\)

Answer 4

\(\frac{x}{2}+\frac{x}{3}+\frac{x}{6}=\frac{13}{12}\)

\(\Rightarrow\frac{6x}{12}+\frac{4x}{12}+\frac{2x}{12}=\frac{13}{12}\)

\(\Rightarrow\frac{x+\left(6+4+2\right)}{12}=\frac{13}{12}\)

\(\Rightarrow\frac{x+12}{12}=\frac{13}{12}\)

\(\Rightarrow\left(x+12\right)\times12=13\times12\)

\(\Rightarrow\left(x+12\right)\times12=156\)

\(\Rightarrow x+12=156:12\)

\(\Rightarrow x+12=13\)

            \(\Rightarrow x=13-12\)

            \(\Rightarrow x=1\)

Answer 5

\(\frac{x}{2}+\frac{x}{3}+\frac{x}{6}=\frac{13}{12}\)

\(\Leftrightarrow\frac{6x+4x+2x}{12}=\frac{13}{12}\)

\(\Leftrightarrow6x+4x+2x=13\)

\(\Leftrightarrow x\left(6+4+2\right)=13\)

\(\Leftrightarrow x.12=13\)

\(\Leftrightarrow x=\frac{13}{12}\)