Question

$$\frac{ 4 }{ 7 } = \frac{ x }{ 21 }$$

Answer

x=12

Solution


Multiply both sides by \(21\).
\[\frac{4}{7}\times 21=x\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\frac{4\times 21}{7}=x\]
Simplify  \(4\times 21\)  to  \(84\).
\[\frac{84}{7}=x\]
Simplify  \(\frac{84}{7}\)  to  \(12\).
\[12=x\]
Switch sides.
\[x=12\]