Question

1\(\dfrac{5}{6}\)=\(\dfrac{-x}{5}\)

Answer 1

\(1\dfrac{5}{6}=\dfrac{-x}{5}\)

\(\Leftrightarrow\dfrac{11}{6}=\dfrac{-x}{5}\)

\(\Leftrightarrow\left(-x\right).6=11.5\)

\(\Rightarrow\left(-x\right).6=55\)

\(\Rightarrow\left(-x\right)=55:6\)

\(\Rightarrow\left(-x\right)=\dfrac{55}{6}\)

\(\Rightarrow x=\dfrac{-55}{6}\)

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Answer 2

\(\Rightarrow\) -x : 5 = 1 \(\dfrac{5}{6}\)

\(\Rightarrow\) -x : 5 = \(\dfrac{11}{6}\)

\(\Rightarrow\) -x = \(\dfrac{11}{6}\) : 5

\(\Rightarrow\) -x = \(^{\dfrac{11}{30}}\)

\(\Rightarrow\) -x = \(\dfrac{-11}{30}\)