Question

$$\frac{ 18 }{ a } = \frac{ 3 }{ 4 }$$

Answer

a=24

Solution


Multiply both sides by \(a\).
\[18=\frac{3}{4}a\]
Simplify  \(\frac{3}{4}a\)  to  \(\frac{3a}{4}\).
\[18=\frac{3a}{4}\]
Multiply both sides by \(4\).
\[18\times 4=3a\]
Simplify  \(18\times 4\)  to  \(72\).
\[72=3a\]
Divide both sides by \(3\).
\[\frac{72}{3}=a\]
Simplify  \(\frac{72}{3}\)  to  \(24\).
\[24=a\]
Switch sides.
\[a=24\]