what is the quotient of 1/2 and 1/2?

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$ and $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$

Step2: Calculate the quotient

$\frac{3}{2}\div\frac{5}{2}=\frac{3}{2}\times\frac{2}{5}$ (Dividing by a fraction is multiplying by its reciprocal)

Step3: Simplify the product

$\frac{3\times2}{2\times5}=\frac{3}{5}$

Answer:

$\frac{3}{5}$