Multiplication by 2 over 3 in Egyptian Fractions/Examples

Examples of Use of Multiplication by 2 over 3 in Egyptian Fractions

Example: $\dfrac 2 3 \times \dfrac 1 5$

$\dfrac 2 3 \times \dfrac 1 5 = \dfrac 1 {10} + \dfrac 1 {30}$

Example: $\dfrac 2 3 \times \dfrac 1 8$

$\dfrac 2 3 \times \dfrac 1 8 = \dfrac 1 {16} + \dfrac 1 {48}$

despite the fact that it is apparent that:

$\dfrac 2 3 \times \dfrac 1 8 = \dfrac 1 {12}$