Question

$$\frac{ 5 }{ x } = \frac{ 25 }{ 30 }$$

Answer

x=6

Solution


Simplify  \(\frac{25}{30}\)  to  \(\frac{5}{6}\).
\[\frac{5}{x}=\frac{5}{6}\]
Multiply both sides by \(x\).
\[5=\frac{5}{6}x\]
Simplify  \(\frac{5}{6}x\)  to  \(\frac{5x}{6}\).
\[5=\frac{5x}{6}\]
Multiply both sides by \(6\).
\[5\times 6=5x\]
Simplify  \(5\times 6\)  to  \(30\).
\[30=5x\]
Divide both sides by \(5\).
\[\frac{30}{5}=x\]
Simplify  \(\frac{30}{5}\)  to  \(6\).
\[6=x\]
Switch sides.
\[x=6\]