I will solve this worksheet by converting each fraction to a decimal. The instructions specify that the denominators are 10, 100, or 1000, which makes conversion straightforward.
The general rule for converting these fractions is:
- For a denominator of 10, move the decimal point one place to the left.
- For a denominator of 100, move the decimal point two places to the left.
- For a denominator of 1000, move the decimal point three places to the left.
For mixed numbers (like $2 \frac{3}{10}$), I will convert the fractional part to a decimal and then add it to the whole number part.
Let's go through each problem:
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1. $\frac{5}{100}$
- Denominator is 100, so move decimal point two places left: $5 \rightarrow 0.05$
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Answer: 0.05
2. $2 \frac{3}{10}$
- Convert $\frac{3}{10}$ to decimal: $3 \rightarrow 0.3$
- Add to whole number: $2 + 0.3 = 2.3$
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Answer: 2.3
3. $\frac{105}{100}$
- Denominator is 100, so move decimal point two places left: $105 \rightarrow 1.05$
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Answer: 1.05
4. $\frac{7}{10}$
- Denominator is 10, so move decimal point one place left: $7 \rightarrow 0.7$
-
Answer: 0.7
5. $3 \frac{44}{100}$
- Convert $\frac{44}{100}$ to decimal: $44 \rightarrow 0.44$
- Add to whole number: $3 + 0.44 = 3.44$
-
Answer: 3.44
6. $\frac{45}{10}$
- Denominator is 10, so move decimal point one place left: $45 \rightarrow 4.5$
-
Answer: 4.5
7. $\frac{135}{1000}$
- Denominator is 1000, so move decimal point three places left: $135 \rightarrow 0.135$
-
Answer: 0.135
8. $4 \frac{284}{1000}$
- Convert $\frac{284}{1000}$ to decimal: $284 \rightarrow 0.284$
- Add to whole number: $4 + 0.284 = 4.284$
-
Answer: 4.284
9. $\frac{3005}{1000}$
- Denominator is 1000, so move decimal point three places left: $3005 \rightarrow 3.005$
-
Answer: 3.005
10. $\frac{47}{100}$
- Denominator is 100, so move decimal point two places left: $47 \rightarrow 0.47$
-
Answer: 0.47
11. $10 \frac{67}{100}$
- Convert $\frac{67}{100}$ to decimal: $67 \rightarrow 0.67$
- Add to whole number: $10 + 0.67 = 10.67$
-
Answer: 10.67
12. $\frac{576}{100}$
- Denominator is 100, so move decimal point two places left: $576 \rightarrow 5.76$
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Answer: 5.76
13. $\frac{2}{10}$
- Denominator is 10, so move decimal point one place left: $2 \rightarrow 0.2$
-
Answer: 0.2
14. $1 \frac{887}{1000}$
- Convert $\frac{887}{1000}$ to decimal: $887 \rightarrow 0.887$
- Add to whole number: $1 + 0.887 = 1.887$
-
Answer: 1.887
15. $\frac{883}{10}$
- Denominator is 10, so move decimal point one place left: $883 \rightarrow 88.3$
-
Answer: 88.3
16. $\frac{22}{100}$
- Denominator is 100, so move decimal point two places left: $22 \rightarrow 0.22$
-
Answer: 0.22
17. $5 \frac{1}{100}$
- Convert $\frac{1}{100}$ to decimal: $1 \rightarrow 0.01$
- Add to whole number: $5 + 0.01 = 5.01$
-
Answer: 5.01
18. $\frac{4321}{1000}$
- Denominator is 1000, so move decimal point three places left: $4321 \rightarrow 4.321$
-
Answer: 4.321
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Final Answers:
1. 0.05
2. 2.3
3. 1.05
4. 0.7
5. 3.44
6. 4.5
7. 0.135
8. 4.284
9. 3.005
10. 0.47
11. 10.67
12. 5.76
13. 0.2
14. 1.887
15. 88.3
16. 0.22
17. 5.01
18. 4.321
Parent Tip: Review the logic above to help your child master the concept of fraction to decimal sheet.
