Math worksheet for converting fractions to percents.

Let's solve each part of the worksheet step by step.

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Part A: Convert the following fractions to percents.

To convert a fraction to a percent, follow these steps:
1. Divide the numerator by the denominator.
2. Multiply the result by 100.
3. Add the % sign.

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(a) $ \frac{1}{4} $

$$
\frac{1}{4} = 0.25 \quad \Rightarrow \quad 0.25 \times 100 = 25\%
$$

✔ Answer: 25%

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(b) $ \frac{7}{10} $

$$
\frac{7}{10} = 0.7 \quad \Rightarrow \quad 0.7 \times 100 = 70\%
$$

✔ Answer: 70%

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(c) $ \frac{9}{20} $

$$
\frac{9}{20} = 0.45 \quad \Rightarrow \quad 0.45 \times 100 = 45\%
$$

✔ Answer: 45%

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(d) $ \frac{1}{5} $

$$
\frac{1}{5} = 0.2 \quad \Rightarrow \quad 0.2 \times 100 = 20\%
$$

✔ Answer: 20%

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(e) $ \frac{3}{5} $

$$
\frac{3}{5} = 0.6 \quad \Rightarrow \quad 0.6 \times 100 = 60\%
$$

✔ Answer: 60%

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(f) $ \frac{17}{20} $

$$
\frac{17}{20} = 0.85 \quad \Rightarrow \quad 0.85 \times 100 = 85\%
$$

✔ Answer: 85%

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Part B: Match each fraction to its equivalent percent.

We'll evaluate each fraction and match it to the correct percent.

(i) $ \frac{1}{2} $

$$
\frac{1}{2} = 0.5 = 50\%
$$

✔ Matches with 50%

(ii) $ \frac{1}{4} $

$$
\frac{1}{4} = 0.25 = 25\%
$$

✔ Matches with 25%

(iii) $ \frac{3}{4} $

$$
\frac{3}{4} = 0.75 = 75\%
$$

✔ Matches with 75%

(iv) $ \frac{1}{5} $

$$
\frac{1}{5} = 0.2 = 20\%
$$

✔ Matches with 20%

So:

- $ \frac{1}{2} $ → 50%
- $ \frac{1}{4} $ → 25%
- $ \frac{3}{4} $ → 75%
- $ \frac{1}{5} $ → 20%

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Part C: Which of the following is equivalent to $ \frac{1}{20} $?

Let’s convert $ \frac{1}{20} $ to a percent:

$$
\frac{1}{20} = 0.05 \quad \Rightarrow \quad 0.05 \times 100 = 5\%
$$

Now check the options:

(a) 20% ✘
(b) 3% ✘
(c) 5% ✔
(d) 2% ✘

✔ Answer: (c) 5%

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✔ Final Answers:

#### Part A:
(a) 25%
(b) 70%
(c) 45%
(d) 20%
(e) 60%
(f) 85%

#### Part B:
- $ \frac{1}{2} $ → 50%
- $ \frac{1}{4} $ → 25%
- $ \frac{3}{4} $ → 75%
- $ \frac{1}{5} $ → 20%

#### Part C:
(c) 5%

Let me know if you'd like this in a printable format or need explanations for any specific step!