Example: $$ \begin{array}{l} =-\frac{2}{3} \ =2 \times \frac{1}{3} \ =\frac{2}{1} \times \frac{1}{3} \end{array} $$ a. $$ \qquad $$ $$ x=\frac{4}{6} $$ $$ \square $$ c. $$ \qquad $$ $$ x \quad=\frac{3}{8} $$ $$ \square $$ e. $$ \qquad $$ $$ \times $$ $$ \qquad $$ $$ =\frac{7}{21} $$ $$ \square $$ 3. One fith of 15 cell phones were sold on a special. What fraction were not sold? $$ \square $$

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UpStudy AI · Accepted Answer

Let's solve the problems step by step.

### Part 1: Simplifying Expressions

1. **Expression a:**
   $$
   x = \frac{4}{6}
   $$
   This can be simplified:
   $$
   x = \frac{2}{3}
   $$
   So, the answer is $$ \frac{2}{3} $$.

2. **Expression c:**
   $$
   x = \frac{3}{8}
   $$
   This fraction is already in its simplest form, so the answer remains $$ \frac{3}{8} $$.

3. **Expression e:**
   $$
   \times = \frac{7}{21}
   $$
   This can be simplified:
   $$
   \frac{7}{21} = \frac{1}{3}
   $$
   So, the answer is $$ \frac{1}{3} $$.

### Part 2: Word Problem

3. **One fifth of 15 cell phones were sold on a special. What fraction were not sold?**

- First, we need to find out how many cell phones were sold:
     $$
     \text{Sold} = \frac{1}{5} \times 15 = 3
     $$
   - Now, we find out how many cell phones were not sold:
     $$
     \text{Not Sold} = 15 - 3 = 12
     $$
   - To find the fraction of cell phones that were not sold, we divide the number of not sold phones by the total number of phones:
     $$
     \text{Fraction Not Sold} = \frac{12}{15}
     $$
   - This fraction can be simplified:
     $$
     \frac{12}{15} = \frac{4}{5}
     $$

Thus, the final answers are:
- a: $$ \frac{2}{3} $$
- c: $$ \frac{3}{8} $$
- e: $$ \frac{1}{3} $$
- Fraction of cell phones not sold: $$ \frac{4}{5} $$
- a: $$ \frac{2}{3} $$ - c: $$ \frac{3}{8} $$ - e: $$ \frac{1}{3} $$ - Fraction of cell phones not sold: $$ \frac{4}{5} $$

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