Question 211376
Let x = first piece  (one piece)
4-x = second piece  (the other piece)


Write the equation:
x = 2/3(4-x)


Multiply both sides by the denominator 3 to clear the fraction:
3x = 2(4-x)
3x= 8 -2x
5x=8
x=8/5  


The "other piece" is 4-x, which is 4-8/5


Get a common denominator of 5
{{{(20/5)-(8/5)=(12/5) }}}


It's ugly, but that is your final answer!


Check:  "One piece is 2/3 the other"
{{{(8/5) = (2/3)*(12/5)}}}
{{{8/5=24/15 }}}


R^2