Convert Fraction to Decimal: Solving 7/2

To convert the improper fraction $\frac{7}{2}$ into a mixed number, we will perform the following steps:

• Step 1: Divide the numerator by the denominator. Here, divide 7 by 2.
• Step 2: Calculate the quotient and the remainder from the division.
• Step 3: Express the result as a mixed number, with the quotient as the whole number and the remainder over the original denominator as the fractional part.

Let's solve:

Step 1: Perform the division $7 \div 2$.

Step 2: The quotient is 3, and the remainder is 1. This can be calculated as follows:
$7 \div 2 = 3$ with a remainder of 1 (since $2 \times 3 = 6$ and $7 - 6 = 1$).

Step 3: The mixed number representation of this division is:
$3\frac{1}{2}$.

Therefore, the improper fraction $\frac{7}{2}$ is equal to the mixed number $3\frac{1}{2}$.