Question

$$- \frac{ 2 }{ 6 } =3 \frac{ c }{ 9 }$$

Answer

c=-1

Solution


Simplify  \(\frac{2}{6}\)  to  \(\frac{1}{3}\).
\[-\frac{1}{3}=3\times \frac{c}{9}\]
Simplify  \(3\times \frac{c}{9}\)  to  \(\frac{c}{3}\).
\[-\frac{1}{3}=\frac{c}{3}\]
Multiply both sides by \(3\).
\[-\frac{1}{3}\times 3=c\]
Cancel \(3\).
\[-1=c\]
Switch sides.
\[c=-1\]