50+ Converting Decimals and Fractions worksheets for 4th Year on ... - Free Printable

Let's solve each of these questions step by step, explaining the reasoning behind each answer.

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1. What is 4/10 as a decimal?

To convert a fraction to a decimal, divide the numerator by the denominator:

$$
\frac{4}{10} = 0.4
$$

✔ Answer: 0.4

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2. What is 5/100 as a decimal?

$$
\frac{5}{100} = 0.05
$$

✔ Answer: 0.05

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3. What is 3/100 as a decimal?

$$
\frac{3}{100} = 0.03
$$

✔ Answer: 0.03

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4. What is 0.08 as a fraction?

0.08 means 8 hundredths:

$$
0.08 = \frac{8}{100}
$$

Simplify by dividing numerator and denominator by 4:

$$
\frac{8 ÷ 4}{100 ÷ 4} = \frac{2}{25}
$$

✔ Answer: $\frac{2}{25}$ (or $\frac{8}{100}$ if not simplified)

But since it asks for "a fraction", both are correct, but simplest form is preferred.

✔ Answer: $\frac{2}{25}$

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5. What is .75 as a fraction?

0.75 = 75 hundredths:

$$
\frac{75}{100}
$$

Simplify by dividing by 25:

$$
\frac{75 ÷ 25}{100 ÷ 25} = \frac{3}{4}
$$

✔ Answer: $\frac{3}{4}$

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6. What is 81/100 as a decimal?

$$
\frac{81}{100} = 0.81
$$

Options:
- A) 0.081
- B) 81
- C) 8.1
- D) 0.81 ✔

✔ Answer: D) 0.81

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7. What is the fraction form of 0.007?

0.007 = 7 thousandths:

$$
\frac{7}{1000}
$$

Options:
- A) 7/1000 ✔
- B) 7.0
- C) 7/10
- D) 7/100

✔ Answer: A) 7/1000

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8. What is the fraction form of 0.02?

0.02 = 2 hundredths:

$$
\frac{2}{100}
$$

Simplify: $ \frac{2}{100} = \frac{1}{50} $

But among options, check which one matches:

- A) 2/10 = 0.2 ✘
- B) 2/100 ✔
- C) 2.0 ✘
- D) 2/1000 = 0.002 ✘

So even though it can be simplified, B) 2/100 is correct as a representation.

✔ Answer: B) 2/100

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9. What is the decimal form of 6/100?

$$
\frac{6}{100} = 0.06
$$

Options:
- A) 60 ✘
- B) 0.06 ✔
- C) 0.060 (same as 0.06, but extra zero)
- D) 0.006 ✘

Note: 0.060 = 0.06, but typically we don't write trailing zeros unless specified.

But in multiple choice, B) 0.06 is best.

✔ Answer: B) 0.06

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10. Which fraction represents this decimal .045?

0.045 = 45 thousandths:

$$
\frac{45}{1000}
$$

Simplify: divide numerator and denominator by 5:

$$
\frac{45 ÷ 5}{1000 ÷ 5} = \frac{9}{200}
$$

So, $\frac{9}{200}$ is the simplified form.

But the question says “which fraction represents this decimal”, so either $\frac{45}{1000}$ or $\frac{9}{200}$ would be acceptable.

Since no options are listed, I assume you're expecting the answer.

✔ Answer: $\frac{45}{1000}$ or $\frac{9}{200}$ (simplified)

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✔ Final Answers Summary:

1. 0.4
2. 0.05
3. 0.03
4. $\frac{2}{25}$ or $\frac{8}{100}$
5. $\frac{3}{4}$
6. D) 0.81
7. A) 7/1000
8. B) 2/100
9. B) 0.06
10. $\frac{9}{200}$ (or $\frac{45}{1000}$)

Let me know if you'd like the rest of the 17 questions solved!