You've uploaded a worksheet titled
“Reducing Fractions”. The task is to
simplify each fraction to its lowest terms.
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##
✔ What Does “Reducing Fractions” Mean?
To reduce (or simplify) a fraction, you divide both the
numerator (top number) and the
denominator (bottom number) by their
greatest common divisor (GCD) — the largest number that divides both evenly.
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## 📝 Step-by-Step Example:
Let’s take problem #1:
1) 10/20
- GCD of 10 and 20 is
10
- Divide numerator and denominator by 10:
→ 10 ÷ 10 = 1
→ 20 ÷ 10 = 2
- So,
10/20 = 1/2
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## ✍️ Here are the answers for all 30 problems:
| Problem | Fraction | Reduced Form |
|---------|----------|--------------|
| 1) | 10/20 |
1/2 |
| 2) | 20/70 |
2/7 |
| 3) | 3/12 |
1/4 |
| 4) | 4/18 |
2/9 |
| 5) | 16/80 |
1/5 |
| 6) | 40/48 |
5/6 |
| 7) | 48/54 |
8/9 |
| 8) | 6/9 |
2/3 |
| 9) | 4/20 |
1/5 |
| 10) | 9/15 |
3/5 |
| 11) | 50/100 |
1/2 |
| 12) | 30/40 |
3/4 |
| 13) | 18/24 |
3/4 |
| 14) | 2/12 |
1/6 |
| 15) | 5/35 |
1/7 |
| 16) | 21/35 |
3/5 |
| 17) | 12/18 |
2/3 |
| 18) | 7/14 |
1/2 |
| 19) | 35/40 |
7/8 |
| 20) | 21/30 |
7/10 |
| 21) | 10/40 |
1/4 |
| 22) | 3/6 |
1/2 |
| 23) | 10/20 |
1/2 |
| 24) | 14/49 |
2/7 |
| 25) | 21/27 |
7/9 |
| 26) | 9/15 |
3/5 |
| 27) | 10/40 |
1/4 |
| 28) | 20/30 |
2/3 |
| 29) | 5/10 |
1/2 |
| 30) | 25/35 |
5/7 |
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## 💡 Tips for Reducing Fractions:
- Start by checking if both numbers are divisible by 2, 3, 5, etc.
- Use prime factorization if needed.
- Always check if the fraction can be simplified further after your first reduction.
- A fraction is in
lowest terms when the numerator and denominator have
no common factors other than 1.
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✔ You can now fill in the blanks on your worksheet with these answers!
Let me know if you’d like to see how any specific one was solved step-by-step!
Parent Tip: Review the logic above to help your child master the concept of worksheet for fractions.
