Question

$$\left. \begin{array} { l } { \frac { 2 } { 6 } 6 = } \\ { \frac { 1 } { 5 } 10 = } \end{array} \right.$$

Answer

b=e

Solution


Cancel \(o\) on both sides.
\[b\times \frac{2}{6}f\times 6=\frac{1}{5}ef\times 10\]
Cancel \(6\).
\[b\times 2f=\frac{1}{5}ef\times 10\]
Regroup terms.
\[2bf=\frac{1}{5}ef\times 10\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[2bf=\frac{1\times ef\times 10}{5}\]
Simplify  \(1\times ef\times 10\)  to  \(10fe\).
\[2bf=\frac{10fe}{5}\]
Regroup terms.
\[2bf=\frac{10ef}{5}\]
Simplify  \(\frac{10ef}{5}\)  to  \(2ef\).
\[2bf=2ef\]
Cancel \(2\) on both sides.
\[bf=ef\]
Cancel \(f\) on both sides.
\[b=e\]

Decimal Form: 2.718282