Simplify \(\frac{27}{63}\) to \(\frac{3}{7}\).
\[\frac{3}{x}=\frac{3}{7}\]
Multiply both sides by \(x\).
\[3=\frac{3}{7}x\]
Simplify \(\frac{3}{7}x\) to \(\frac{3x}{7}\).
\[3=\frac{3x}{7}\]
Multiply both sides by \(7\).
\[3\times 7=3x\]
Simplify \(3\times 7\) to \(21\).
\[21=3x\]
Divide both sides by \(3\).
\[\frac{21}{3}=x\]
Simplify \(\frac{21}{3}\) to \(7\).
\[7=x\]
Switch sides.
\[x=7\]
x=7
