Question

$$\frac{ 10 }{ a } = \frac{ 5 }{ 7 }$$

Answer

a=14

Solution


Multiply both sides by \(a\).
\[10=\frac{5}{7}a\]
Simplify  \(\frac{5}{7}a\)  to  \(\frac{5a}{7}\).
\[10=\frac{5a}{7}\]
Multiply both sides by \(7\).
\[10\times 7=5a\]
Simplify  \(10\times 7\)  to  \(70\).
\[70=5a\]
Divide both sides by \(5\).
\[\frac{70}{5}=a\]
Simplify  \(\frac{70}{5}\)  to  \(14\).
\[14=a\]
Switch sides.
\[a=14\]