Question

$$\frac{ 68 }{ a } = \frac{ 9 }{ 4 }$$

Answer

a=272/9

Solution


Multiply both sides by \(a\).
\[68=\frac{9}{4}a\]
Simplify  \(\frac{9}{4}a\)  to  \(\frac{9a}{4}\).
\[68=\frac{9a}{4}\]
Multiply both sides by \(4\).
\[68\times 4=9a\]
Simplify  \(68\times 4\)  to  \(272\).
\[272=9a\]
Divide both sides by \(9\).
\[\frac{272}{9}=a\]
Switch sides.
\[a=\frac{272}{9}\]

Decimal Form: 30.222222