If is one unit, \( \begin{array}{ll}\text { a) show } \frac{1}{2} \text { of one unit. } & \text { b) show } \frac{1}{2} \text { of } \frac{1}{2} \text { of one unit. } \\ \text { c) What fraction is } \frac{1}{2} \text { of } \frac{1}{2} \text { of the whole unit? }\end{array} \)

Let's break down the problem step by step. ### a) Show \( \frac{1}{2} \) of one unit. To find \( \frac{1}{2} \) of one unit, we simply multiply one unit by \( \frac{1}{2} \): \[ \frac{1}{2} \times 1 = \frac{1}{2} \] So, \( \frac{1}{2} \) of one unit is \( \frac{1}{2} \). ### b) Show \( \frac{1}{2} \) of \( \frac{1}{2} \) of one unit. First, we already found that \( \frac{1}{2} \) of one unit is \( \frac{1}{2} \). Now, we need to find \( \frac{1}{2} \) of \( \frac{1}{2} \): \[ \frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4} \] Thus, \( \frac{1}{2} \) of \( \frac{1}{2} \) of one unit is \( \frac{1}{4} \). ### c) What fraction is \( \frac{1}{2} \) of \( \frac{1}{2} \) of the whole unit? From part b, we found that \( \frac{1}{2} \) of \( \frac{1}{2} \) of one unit is \( \frac{1}{4} \). To express this as a fraction of the whole unit (which is 1), we can write: \[ \frac{1}{4} \text{ is } \frac{1}{4} \text{ of the whole unit.} \] Thus, the fraction is \( \frac{1}{4} \). ### Summary of Results: - a) \( \frac{1}{2} \) of one unit is \( \frac{1}{2} \). - b) \( \frac{1}{2} \) of \( \frac{1}{2} \) of one unit is \( \frac{1}{4} \). - c) The fraction of \( \frac{1}{2} \) of \( \frac{1}{2} \) of the whole unit is \( \frac{1}{4} \).