Solve 3 × 1/2: Multiplying a Whole Number by a Fraction

The denominator tells us the size of each piece. When you have 3 groups of $\frac{1}{2}$, you still have halves - just more of them! Only multiply the numerator to count how many pieces you have total.

Divide the numerator by the denominator: 3 ÷ 2 = 1 remainder 1. The quotient becomes the whole number, and the remainder goes over the original denominator: $1\frac{1}{2}$.

Yes! $\frac{3}{2}$ is mathematically correct. However, mixed numbers like $1\frac{1}{2}$ are often preferred because they're easier to visualize and understand.

Same process! Multiply: $5 \times 1 = 5$, so you get $\frac{5}{2}$. Then convert: 5 ÷ 2 = 2 remainder 1, giving you $2\frac{1}{2}$.

Think of it as 3 groups of half! If you have 3 cookies and each is cut in half, you get 3 halves total. That's $\frac{3}{2}$ or $1\frac{1}{2}$ whole cookies.