Question

$$\frac{ 2 }{ 3 } = \frac{ x }{ 6 }$$

Answer

x=4

Solution


Multiply both sides by \(6\).
\[\frac{2}{3}\times 6=x\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\frac{2\times 6}{3}=x\]
Simplify  \(2\times 6\)  to  \(12\).
\[\frac{12}{3}=x\]
Simplify  \(\frac{12}{3}\)  to  \(4\).
\[4=x\]
Switch sides.
\[x=4\]