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

Question

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

UpStudy AI · Accepted Answer

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 $$ \frac{1}{4} $$.
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) $$ \frac{1}{2} $$ of $$ \frac{1}{2} $$ of the whole unit is $$ \frac{1}{4} $$.

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

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