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Printable math worksheet for converting fractions to decimals, featuring 21 practice problems.

Worksheet titled "Converting Fractions to Decimals #3" with 21 fraction-to-decimal conversion problems, including examples like 3/4, 35/100, and 391/500, with blank spaces for answers.

Worksheet titled "Converting Fractions to Decimals #3" with 21 fraction-to-decimal conversion problems, including examples like 3/4, 35/100, and 391/500, with blank spaces for answers.

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Show Answer Key & Explanations Step-by-step solution for: Convert Fractions to Decimals 3 Worksheet
To convert a fraction to a decimal, you divide the top number (numerator) by the bottom number (denominator).

Here are the step-by-step calculations for each problem:

1. 3/4: Divide 3 by 4.
$3 \div 4 = 0.75$

2. 7/35: First, simplify the fraction. Both numbers can be divided by 7.
$7 \div 7 = 1$ and $35 \div 7 = 5$. So, it becomes $1/5$.
$1 \div 5 = 0.2$

3. 2/8: Simplify the fraction by dividing both by 2.
$2 \div 2 = 1$ and $8 \div 2 = 4$. So, it becomes $1/4$.
$1 \div 4 = 0.25$

4. 40/50: Simplify by dividing both by 10.
$40 \div 10 = 4$ and $50 \div 10 = 5$. So, it becomes $4/5$.
$4 \div 5 = 0.8$

5. 6/8: Simplify by dividing both by 2.
$6 \div 2 = 3$ and $8 \div 2 = 4$. So, it becomes $3/4$.
$3 \div 4 = 0.75$

6. 8/32: Simplify by dividing both by 8.
$8 \div 8 = 1$ and $32 \div 8 = 4$. So, it becomes $1/4$.
$1 \div 4 = 0.25$

7. 35/100: Since the denominator is 100, you just move the decimal point in the numerator two places to the left.
$35 \rightarrow 0.35$

8. 29/50: To make the denominator 100, multiply the top and bottom by 2.
$29 \times 2 = 58$ and $50 \times 2 = 100$. So, it becomes $58/100$.
$58/100 = 0.58$

9. 31/50: Multiply the top and bottom by 2 to get a denominator of 100.
$31 \times 2 = 62$ and $50 \times 2 = 100$. So, it becomes $62/100$.
$62/100 = 0.62$

10. 49/50: Multiply the top and bottom by 2 to get a denominator of 100.
$49 \times 2 = 98$ and $50 \times 2 = 100$. So, it becomes $98/100$.
$98/100 = 0.98$

11. 18/25: Multiply the top and bottom by 4 to get a denominator of 100.
$18 \times 4 = 72$ and $25 \times 4 = 100$. So, it becomes $72/100$.
$72/100 = 0.72$

12. 4/20: Simplify by dividing both by 4.
$4 \div 4 = 1$ and $20 \div 4 = 5$. So, it becomes $1/5$.
$1 \div 5 = 0.2$

13. 391/500: Multiply the top and bottom by 2 to get a denominator of 1000.
$391 \times 2 = 782$ and $500 \times 2 = 1000$. So, it becomes $782/1000$.
$782/1000 = 0.782$

14. 49/250: Multiply the top and bottom by 4 to get a denominator of 1000.
$49 \times 4 = 196$ and $250 \times 4 = 1000$. So, it becomes $196/1000$.
$196/1000 = 0.196$

15. 179/500: Multiply the top and bottom by 2 to get a denominator of 1000.
$179 \times 2 = 358$ and $500 \times 2 = 1000$. So, it becomes $358/1000$.
$358/1000 = 0.358$

16. 121/125: Multiply the top and bottom by 8 to get a denominator of 1000.
$121 \times 8 = 968$ and $125 \times 8 = 1000$. So, it becomes $968/1000$.
$968/1000 = 0.968$

17. 113/125: Multiply the top and bottom by 8 to get a denominator of 1000.
$113 \times 8 = 904$ and $125 \times 8 = 1000$. So, it becomes $904/1000$.
$904/1000 = 0.904$

18. 49/250: Multiply the top and bottom by 4 to get a denominator of 1000.
$49 \times 4 = 196$ and $250 \times 4 = 1000$. So, it becomes $196/1000$.
$196/1000 = 0.196$

Final Answer:
1. 0.75
2. 0.2
3. 0.25
4. 0.8
5. 0.75
6. 0.25
7. 0.35
8. 0.58
9. 0.62
10. 0.98
11. 0.72
12. 0.2
13. 0.782
14. 0.196
15. 0.358
16. 0.968
17. 0.904
18. 0.196
Parent Tip: Review the logic above to help your child master the concept of 3rd grade worksheet on fractions and decimals.
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