Question: so $\frac{7}{2}$ = $3*\frac{1}{2}$
1. The problem is to express the fraction $\frac{7}{2}$ in the form $3 \times \frac{1}{2}$ or a similar mixed number format.
2. First, recognize that $\frac{7}{2}$ is an improper fraction because the numerator (7) is greater than the denominator (2).
3. To convert $\frac{7}{2}$ to a mixed number, divide 7 by 2:
$$7 \div 2 = 3 \text{ remainder } 1$$
4. This means $\frac{7}{2}$ can be written as $3$ whole parts plus a remainder of $1$ over the denominator $2$:
$$3 + \frac{1}{2}$$
5. Using multiplication, this is equivalent to:
$$3 \times 1 + \frac{1}{2}$$
6. Note that $3 \times \frac{1}{2} = \frac{3}{2} = 1.5$, which is less than $\frac{7}{2} = 3.5$.
7. Therefore, $3 \times \frac{1}{2}$ alone does not equal $\frac{7}{2}$.
8. The correct mixed number form is:
$$3 + \frac{1}{2} = 3 \frac{1}{2}$$
Final answer: $\frac{7}{2} = 3 + \frac{1}{2} = 3 \frac{1}{2}$, not $3 \times \frac{1}{2}$.