Let's solve the problem step by step.
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Task: Write these decimals as fractions. Some you may be able to simplify.
We are given 12 decimal numbers, and we need to convert each into a fraction. The key idea is:
> A decimal can be written as a fraction by placing the decimal number over its place value (e.g., hundredths, tenths, etc.), then simplifying if possible.
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Step-by-step conversions:
1.
0.27
→ 27 hundredths = $ \frac{27}{100} $
→ Cannot be simplified further.
✔ Answer: $ \frac{27}{100} $
2.
0.45
→ $ \frac{45}{100} $
→ Simplify: divide numerator and denominator by 5 → $ \frac{9}{20} $
✔ Answer: $ \frac{9}{20} $
3.
0.72
→ $ \frac{72}{100} $
→ Simplify: divide by 4 → $ \frac{18}{25} $
✔ Answer: $ \frac{18}{25} $
4.
0.5
→ $ \frac{5}{10} $
→ Simplify: $ \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
5.
0.67
→ $ \frac{67}{100} $
→ 67 is prime, so cannot simplify.
✔ Answer: $ \frac{67}{100} $
6.
0.80
→ $ \frac{80}{100} $
→ Simplify: divide by 20 → $ \frac{4}{5} $
✔ Answer: $ \frac{4}{5} $
7.
0.77
→ $ \frac{77}{100} $
→ 77 = 7×11, 100 not divisible by 7 or 11 → no simplification
✔ Answer: $ \frac{77}{100} $
8.
0.25
→ $ \frac{25}{100} $
→ Simplify: divide by 25 → $ \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
9.
0.60
→ $ \frac{60}{100} $
→ Simplify: divide by 20 → $ \frac{3}{5} $
✔ Answer: $ \frac{3}{5} $
10.
0.99
→ $ \frac{99}{100} $
→ Cannot simplify (99 and 100 have no common factors besides 1)
✔ Answer: $ \frac{99}{100} $
11.
0.13
→ $ \frac{13}{100} $
→ 13 is prime → no simplification
✔ Answer: $ \frac{13}{100} $
12.
0.1
→ $ \frac{1}{10} $
→ Already simplified
✔ Answer: $ \frac{1}{10} $
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✔ Final Answers:
1. $ \frac{27}{100} $
2. $ \frac{9}{20} $
3. $ \frac{18}{25} $
4. $ \frac{1}{2} $
5. $ \frac{67}{100} $
6. $ \frac{4}{5} $
7. $ \frac{77}{100} $
8. $ \frac{1}{4} $
9. $ \frac{3}{5} $
10. $ \frac{99}{100} $
11. $ \frac{13}{100} $
12. $ \frac{1}{10} $
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📌 Summary:
- To convert a decimal to a fraction:
1. Write the decimal as a fraction with denominator based on place value (e.g., 0.27 → 27/100).
2. Simplify by dividing numerator and denominator by their greatest common divisor (GCD).
Let me know if you'd like a printable version or explanation for any specific one!
Parent Tip: Review the logic above to help your child master the concept of basic decimal worksheet.
