Twice a fraction plus half that fraction, all times that fraction, equals the fraction. What is the fraction?

Let

*x*be the fraction. First, we note that*x*= 0 is a solution. Now let’s look for a nonzero solution.(2

2

4

5

*x*+*x*/2) ·*x*=*x*2

*x*+*x*/2 = 14

*x*+*x*= 25

*x*= 2*x*= 2/5