Question

$$\frac{ 6 }{ a } = \frac{ 3 }{ 5 }$$

Answer

a=10

Solution


Multiply both sides by \(a\).
\[6=\frac{3}{5}a\]
Simplify  \(\frac{3}{5}a\)  to  \(\frac{3a}{5}\).
\[6=\frac{3a}{5}\]
Multiply both sides by \(5\).
\[6\times 5=3a\]
Simplify  \(6\times 5\)  to  \(30\).
\[30=3a\]
Divide both sides by \(3\).
\[\frac{30}{3}=a\]
Simplify  \(\frac{30}{3}\)  to  \(10\).
\[10=a\]
Switch sides.
\[a=10\]