Identify Place Value Grids as Fractions & Decimals - Math - Free Printable

Let’s solve each problem step by step. We’ll convert decimals to fractions and simplify them.

Remember:
- A decimal like 0.5 means “5 tenths” → 5/10 → simplify to 1/2
- For two decimal places, like 0.04, it’s “4 hundredths” → 4/100 → simplify to 1/25
- For mixed numbers like 1.25, write as 1 + 0.25 → 1 + 25/100 → 1 + 1/4 = 5/4 or 1¼ (but we’ll use improper fractions unless told otherwise)

We’ll go one by one:

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1. 0.5
= 5/10 = 1/2

2. 0.3
= 3/10 → already simplified → 3/10

3. 0.9
= 9/10 → already simplified → 9/10

4. 0.04
= 4/100 = 1/25

5. 0.13
= 13/100 → already simplified → 13/100

6. 0.1
= 1/10 → 1/10

7. 0.25
= 25/100 = 1/4

8. 0.75
= 75/100 = 3/4

9. 0.05
= 5/100 = 1/20

10. 0.7
= 7/10 → 7/10

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Now the second column:

11. 1.25
= 1 + 0.25 = 1 + 25/100 = 1 + 1/4 = 5/4 → 5/4

12. 1.3
= 1 + 0.3 = 1 + 3/10 = 13/10 → 13/10

13. 1.1
= 1 + 0.1 = 1 + 1/10 = 11/10 → 11/10

14. 1.5
= 1 + 0.5 = 1 + 1/2 = 3/2 → 3/2

15. 1.22
= 1 + 0.22 = 1 + 22/100 = 1 + 11/50 = 61/50 → 61/50

16. 2.3
= 2 + 0.3 = 2 + 3/10 = 23/10 → 23/10

17. 1.43
= 1 + 0.43 = 1 + 43/100 = 143/100 → 143/100

18. 4.15
= 4 + 0.15 = 4 + 15/100 = 4 + 3/20 = 83/20 → 83/20

19. 2.1
= 2 + 0.1 = 2 + 1/10 = 21/10 → 21/10

20. 1.7
= 1 + 0.7 = 1 + 7/10 = 17/10 → 17/10

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All answers are simplified fractions. Let me double-check a few tricky ones:

- 0.04 → 4/100 → divide numerator and denominator by 4 → 1/25 ✔
- 1.22 → 122/100 → divide by 2 → 61/50 ✔
- 4.15 → 415/100 → divide by 5 → 83/20 ✔
- 0.05 → 5/100 → 1/20 ✔

Everything checks out.

Final Answer:
1. 1/2
2. 3/10
3. 9/10
4. 1/25
5. 13/100
6. 1/10
7. 1/4
8. 3/4
9. 1/20
10. 7/10
11. 5/4
12. 13/10
13. 11/10
14. 3/2
15. 61/50
16. 23/10
17. 143/100
18. 83/20
19. 21/10
20. 17/10