Worksheet for converting fractions to decimals and decimals to fractions.

Let’s solve each problem step by step.

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Part 1: Express each fraction as a decimal

We know:
- Dividing by 100 moves the decimal point 2 places to the left.
- Dividing by 1000 moves the decimal point 3 places to the left.
- For mixed numbers like 4 5/100, we write the whole number and then add the decimal part.

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1. 73/100
→ 73 ÷ 100 = 0.73

2. 9/100
→ 9 ÷ 100 = 0.09

3. 6/1000
→ 6 ÷ 1000 = 0.006

4. 16/1000
→ 16 ÷ 1000 = 0.016

5. 4 5/100
→ Whole number is 4, and 5/100 = 0.05 → So, 4 + 0.05 = 4.05

6. 1 4/1000
→ Whole number is 1, and 4/1000 = 0.004 → So, 1 + 0.004 = 1.004

7. 109/1000
→ 109 ÷ 1000 = 0.109

8. 13/100
→ 13 ÷ 100 = 0.13

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Part 2: Express each decimal as a fraction

We look at how many digits are after the decimal point:
- 1 digit → tenths (denominator 10)
- 2 digits → hundredths (denominator 100)
- 3 digits → thousandths (denominator 1000)

Then simplify if needed — but in this worksheet, they likely want the unsimplified version with denominator 10, 100, or 1000.

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9. 0.38
→ Two digits → 38/100

10. 0.06
→ Two digits → 6/100

11. 0.005
→ Three digits → 5/1000

12. 1.01
→ This is 1 and 0.01 → 1 1/100 OR as improper fraction: 101/100
But since others are written as mixed or simple fractions, let’s check the pattern. Looking at Q5 and Q6, they used mixed numbers. But here, the instruction says “express as fractions” — so either way is fine, but to match style, maybe write as mixed? Wait — looking at the answer blanks, probably just write the fractional form without mixing unless specified. Actually, for consistency with Part 1, where mixed numbers were given, but here decimals are given — better to write as single fraction or mixed? Let’s see:

Actually, in most school worksheets, for decimals like 1.01, they expect 1 1/100 or 101/100. Since the first part had mixed numbers, and this part doesn’t specify, I’ll go with the form that matches the place value directly.

Wait — let’s look at Q13: 0.054 → that’s 54/1000. Similarly, Q14: 14.564 → that’s 14 and 564/1000 → so likely they want mixed numbers when there’s a whole part.

So:

12. 1.01 → 1 and 1/100 → 1 1/100

But wait — in the blank, it might be expecting just the fraction part? No, because 1.01 has a whole number. Let me check standard practice.

Actually, looking back at the worksheet layout — for example, Q5 was “4 5/100 = ___” and we wrote 4.05. Now going backwards, 1.01 should become 1 1/100.

Similarly, Q14: 14.564 → 14 564/1000

So yes, use mixed numbers when there’s a whole part.

But let’s confirm with Q9: 0.38 → no whole part → 38/100

Q10: 0.06 → 6/100

Q11: 0.005 → 5/1000

Q12: 1.01 → 1 1/100

Q13: 0.054 → 54/1000

Q14: 14.564 → 14 564/1000

Q15: 3.007 → 3 7/1000

Q16: 0.786 → 786/1000

Yes, that makes sense.

Now, do we simplify? The original fractions in Part 1 were not simplified (e.g., 73/100 stays as is), so probably don’t simplify here either.

So:

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Final Answers:

1. 0.73
2. 0.09
3. 0.006
4. 0.016
5. 4.05
6. 1.004
7. 0.109
8. 0.13
9. 38/100
10. 6/100
11. 5/1000
12. 1 1/100
13. 54/1000
14. 14 564/1000
15. 3 7/1000
16. 786/1000

Wait — for Q12, 1.01: is it 1 1/100 or 101/100? In the context of the worksheet, since Q5 and Q6 used mixed numbers on the left side, and now we’re converting decimals to fractions, it’s consistent to use mixed numbers when applicable.

Also, for Q14: 14.564 → 14 and 564 thousandths → 14 564/1000

Same for Q15: 3.007 → 3 and 7 thousandths → 3 7/1000

For Q16: 0.786 → no whole number → 786/1000

All good.

Let me double-check one: Q11: 0.005 → that’s 5 thousandths → 5/1000 ✔️

Q13: 0.054 → 54 thousandths → 54/1000 ✔️

Q10: 0.06 → 6 hundredths → 6/100 ✔️

Perfect.

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Final Answer:
1. 0.73
2. 0.09
3. 0.006
4. 0.016
5. 4.05
6. 1.004
7. 0.109
8. 0.13
9. 38/100
10. 6/100
11. 5/1000
12. 1 1/100
13. 54/1000
14. 14 564/1000
15. 3 7/1000
16. 786/1000