Express the following fractions as percentages.
a. `(3)/(5)` b. `(1)/(12)` c. `(3)/(20)` d. `(2)/(3)`

Answer

To express the given fractions as percentages, we will follow these steps:

### Step 1: Convert the fraction to a percentage
To convert a fraction to a percentage, we multiply the fraction by 100.

### Step 2: Solve for each fraction

#### a. For the fraction \( \frac{3}{5} \):
1. Multiply by 100:
\[ \frac{3}{5} \times 100 = \frac{3 \times 100}{5} = \frac{300}{5} = 60 \]
So, \( \frac{3}{5} = 60\% \).

#### b. For the fraction \( \frac{1}{12} \):
1. Multiply by 100:
\[ \frac{1}{12} \times 100 = \frac{1 \times 100}{12} = \frac{100}{12} \]
2. Simplify \( \frac{100}{12} \):
\[ \frac{100}{12} = \frac{25}{3} \approx 8.33 \]
So, \( \frac{1}{12} \approx 8.33\% \).

#### c. For the fraction \( \frac{3}{20} \):
1. Multiply by 100:
\[ \frac{3}{20} \times 100 = \frac{3 \times 100}{20} = \frac{300}{20} = 15 \]
So, \( \frac{3}{20} = 15\% \).

#### d. For the fraction \( \frac{2}{3} \):
1. Multiply by 100:
\[ \frac{2}{3} \times 100 = \frac{2 \times 100}{3} = \frac{200}{3} \]
2. Simplify \( \frac{200}{3} \):
\[ \frac{200}{3} \approx 66.67 \]
So, \( \frac{2}{3} \approx 66.67\% \).

### Final Answers:
- \( \frac{3}{5} = 60\% \)
- \( \frac{1}{12} \approx 8.33\% \)
- \( \frac{3}{20} = 15\% \)
- \( \frac{2}{3} \approx 66.67\% \)

---