Question

$$9 \frac{ c }{ 10 } = \frac{ 9 }{ 5 }$$

Answer

c=2

Solution


Simplify  \(9\times \frac{c}{10}\)  to  \(\frac{9c}{10}\).
\[\frac{9c}{10}=\frac{9}{5}\]
Multiply both sides by \(10\).
\[9c=\frac{9}{5}\times 10\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[9c=\frac{9\times 10}{5}\]
Simplify  \(9\times 10\)  to  \(90\).
\[9c=\frac{90}{5}\]
Simplify  \(\frac{90}{5}\)  to  \(18\).
\[9c=18\]
Divide both sides by \(9\).
\[c=\frac{18}{9}\]
Simplify  \(\frac{18}{9}\)  to  \(2\).
\[c=2\]