Question

$$\frac{ 9 }{ a } = \frac{ 2 }{ 3 }$$

Answer

a=27/2

Solution


Multiply both sides by \(a\).
\[9=\frac{2}{3}a\]
Simplify  \(\frac{2}{3}a\)  to  \(\frac{2a}{3}\).
\[9=\frac{2a}{3}\]
Multiply both sides by \(3\).
\[9\times 3=2a\]
Simplify  \(9\times 3\)  to  \(27\).
\[27=2a\]
Divide both sides by \(2\).
\[\frac{27}{2}=a\]
Switch sides.
\[a=\frac{27}{2}\]

Decimal Form: 13.5