Fraction, Decimal, Percentage conversion worksheet for practice.

Problem Overview:

The worksheet involves two main tasks:
1. Converting fractions to decimals.
2. Matching fractions with their equivalent decimals.

Let's solve each part step by step.

---

Part 1: Convert the following fractions to decimals

#### Step-by-Step Solution:
To convert a fraction to a decimal, divide the numerator by the denominator.

1. $\frac{45}{100}$
$$
\frac{45}{100} = 0.45
$$

2. $\frac{12}{50}$
Simplify first:
$$
\frac{12}{50} = \frac{6}{25}
$$
Now divide:
$$
\frac{6}{25} = 0.24
$$

3. $\frac{17}{75}$
Divide directly:
$$
\frac{17}{75} \approx 0.2267
$$

4. $\frac{33}{90}$
Simplify first:
$$
\frac{33}{90} = \frac{11}{30}
$$
Now divide:
$$
\frac{11}{30} \approx 0.3667
$$

5. $\frac{25}{50}$
Simplify first:
$$
\frac{25}{50} = \frac{1}{2}
$$
Now divide:
$$
\frac{1}{2} = 0.5
$$

6. $\frac{11}{20}$
Divide directly:
$$
\frac{11}{20} = 0.55
$$

7. $\frac{3}{25}$
Divide directly:
$$
\frac{3}{25} = 0.12
$$

8. $\frac{21}{50}$
Divide directly:
$$
\frac{21}{50} = 0.42
$$

9. $\frac{10}{45}$
Simplify first:
$$
\frac{10}{45} = \frac{2}{9}
$$
Now divide:
$$
\frac{2}{9} \approx 0.2222
$$

10. $\frac{12}{20}$
Simplify first:
$$
\frac{12}{20} = \frac{3}{5}
$$
Now divide:
$$
\frac{3}{5} = 0.6
$$

11. $\frac{10}{30}$
Simplify first:
$$
\frac{10}{30} = \frac{1}{3}
$$
Now divide:
$$
\frac{1}{3} \approx 0.3333
$$

12. $\frac{16}{75}$
Divide directly:
$$
\frac{16}{75} \approx 0.2133
$$

13. $\frac{15}{25}$
Simplify first:
$$
\frac{15}{25} = \frac{3}{5}
$$
Now divide:
$$
\frac{3}{5} = 0.6
$$

14. $\frac{25}{55}$
Simplify first:
$$
\frac{25}{55} = \frac{5}{11}
$$
Now divide:
$$
\frac{5}{11} \approx 0.4545
$$

15. $\frac{10}{50}$
Simplify first:
$$
\frac{10}{50} = \frac{1}{5}
$$
Now divide:
$$
\frac{1}{5} = 0.2
$$

#### Final Answers for Part 1:
1. $0.45$
2. $0.24$
3. $0.2267$
4. $0.3667$
5. $0.5$
6. $0.55$
7. $0.12$
8. $0.42$
9. $0.2222$
10. $0.6$
11. $0.3333$
12. $0.2133$
13. $0.6$
14. $0.4545$
15. $0.2$

---

Part 2: Match each fraction with its equivalent decimal

#### Step-by-Step Solution:
We need to match the given fractions with their corresponding decimals from the list provided.

1. $\frac{22}{100}$
Simplify:
$$
\frac{22}{100} = 0.22
$$
Match: $0.22$

2. $\frac{45}{50}$
Simplify:
$$
\frac{45}{50} = \frac{9}{10} = 0.9
$$
Match: $0.9$

3. $\frac{12}{50}$
Simplify:
$$
\frac{12}{50} = \frac{6}{25} = 0.24
$$
Match: $0.24$

4. $\frac{2}{100}$
Simplify:
$$
\frac{2}{100} = 0.02
$$
Match: $0.02$

5. $\frac{5}{10}$
Simplify:
$$
\frac{5}{10} = 0.5
$$
Match: $0.5$

#### Final Matches for Part 2:
1. $\frac{22}{100} \rightarrow 0.22$
2. $\frac{45}{50} \rightarrow 0.9$
3. $\frac{12}{50} \rightarrow 0.24$
4. $\frac{2}{100} \rightarrow 0.02$
5. $\frac{5}{10} \rightarrow 0.5$

---

Final Answer:

$$
\boxed{
\text{Part 1: } 0.45, 0.24, 0.2267, 0.3667, 0.5, 0.55, 0.12, 0.42, 0.2222, 0.6, 0.3333, 0.2133, 0.6, 0.4545, 0.2 \\
\text{Part 2: } \frac{22}{100} \rightarrow 0.22, \frac{45}{50} \rightarrow 0.9, \frac{12}{50} \rightarrow 0.24, \frac{2}{100} \rightarrow 0.02, \frac{5}{10} \rightarrow 0.5
}
$$