My fraction

My fraction is not a mixed number. My fraction is equivalent to 1/2. When my fraction is divided by 1/3, the answer is 1 1/2. The numerator of the fraction is 4. What is my fraction?

Correct answer:

x =  1/2

Step-by-step explanation:

$$\begin{gathered} x=\frac{4}{4\cdot 2}=\frac{1}{2}=0.5 \\ x=\frac{4}{8}=\frac{1}{2}=0.5 \\ \text{ Verifying Solution: } \\ t=x/\frac{1}{3}=\frac{1}{2}/\frac{1}{3}=\frac{1}{2}:\frac{1}{3}=\frac{1}{2}\cdot \frac{3}{1}=\frac{1\cdot 3}{2\cdot 1}=\frac{3}{2}=1.5 \\ t=1\frac{1}{2} \end{gathered}$$

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