Sure! Let’s solve the worksheet
“Converting Fractions to Decimals” step by step.
---
## 🧠 Key Concept:
To convert a fraction to a decimal, especially when the denominator is
10 or
100, we use
place value:
- If the denominator is
10 → the numerator goes in the
tenths place → write as `0.X`
- If the denominator is
100 → the numerator goes in the
hundredths place → write as `0.XX`
Examples from the worksheet:
- `9/10 = 0.9` → 9 tenths
- `63/100 = 0.63` → 63 hundredths
- `12/100 = 0.12` → 12 hundredths (as shown)
---
##
✔ Solutions:
Let’s go problem by problem:
---
1) `8/10`
→ 8 tenths →
0.8
2) `5/10`
→ 5 tenths →
0.5
3) `51/100`
→ 51 hundredths →
0.51
4) `6/10`
→ 6 tenths →
0.6
5) `8/100`
→ 8 hundredths →
0.08
6) `7/10`
→ 7 tenths →
0.7
7) `1/10`
→ 1 tenth →
0.1
8) `3/10`
→ 3 tenths →
0.3
9) `59/100`
→ 59 hundredths →
0.59
10) `4/10`
→ 4 tenths →
0.4
11) `5/100`
→ 5 hundredths →
0.05
12) `9/100`
→ 9 hundredths →
0.09
13) `58/100`
→ 58 hundredths →
0.58
14) `30/100`
→ 30 hundredths →
0.30 (can also be written as
0.3, but since it's hundredths, writing 0.30 is more precise for place value)
> 💡 Note: 0.30 = 0.3 — both are correct, but for this worksheet’s focus on hundredths,
0.30 is preferred.
15) `4/100`
→ 4 hundredths →
0.04
16) `49/100`
→ 49 hundredths →
0.49
17) `1/100`
→ 1 hundredth →
0.01
18) `17/100`
→ 17 hundredths →
0.17
19) `7/100`
→ 7 hundredths →
0.07
20) `2/100`
→ 2 hundredths →
0.02
---
## 📝 Final Answer Key (to fill in the "Answers" column):
```
Ex. 0.12
1. 0.8
2. 0.5
3. 0.51
4. 0.6
5. 0.08
6. 0.7
7. 0.1
8. 0.3
9. 0.59
10. 0.4
11. 0.05
12. 0.09
13. 0.58
14. 0.30
15. 0.04
16. 0.49
17. 0.01
18. 0.17
19. 0.07
20. 0.02
```
---
## 🎯 Teaching Tip:
This worksheet reinforces
place value and helps students see the direct relationship between fractions with denominators of 10 or 100 and their decimal equivalents. It’s foundational for understanding decimals, money, and metric measurements later on!
Let me know if you want a printable version or additional practice problems 😊
Parent Tip: Review the logic above to help your child master the concept of decimals tenths and hundredths fractions worksheet.