Multiplication by 2 over 3 in Egyptian Fractions/Examples/1 over 8

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

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

despite the fact that it is apparent that:
 * $\dfrac 2 3 \times \dfrac 1 8 = \dfrac 1 {12}$