1. **State the problem:** We need to find the number $x$ such that 60 is $\frac{6}{12}$ of $x$. 2. **Write the equation:** Since 60 is $\frac{6}{12}$ of $x$, we write: $$60 = \frac{6}{12} \times x$$ 3. **Simplify the fraction:** $$\frac{6}{12} = \frac{1}{2}$$ So the equation becomes: $$60 = \frac{1}{2} \times x$$ 4. **Solve for $x$:** Multiply both sides by 2 to isolate $x$: $$2 \times 60 = 2 \times \frac{1}{2} \times x$$ $$120 = \cancel{2} \times \frac{1}{\cancel{2}} \times x$$ $$120 = x$$ 5. **Answer:** The number is $120$. This means 60 is half of 120, which matches the fraction $\frac{6}{12}$ simplified to $\frac{1}{2}$.