How to Use the Greatest Common Factor (GCF) to Simplify Fractions

📚 Quick Study Guide

• 🔢 The Greatest Common Factor (GCF) is the largest number that divides evenly into two or more numbers.
• ➗ To simplify a fraction using the GCF, find the GCF of the numerator and the denominator.
• ✍️ Divide both the numerator and the denominator by their GCF.
• 💡 The resulting fraction is the simplified form of the original fraction.
• 🧮 Example: Simplify $\frac{12}{18}$. The GCF of 12 and 18 is 6. $\frac{12 \div 6}{18 \div 6} = \frac{2}{3}$.

Practice Quiz

1. Question 1: What is the GCF of 16 and 24?
   1. 8
   2. 4
   3. 16
   4. 24
2. Question 2: Simplify the fraction $\frac{20}{30}$ using the GCF.
   1. $\frac{2}{3}$
   2. $\frac{4}{5}$
   3. $\frac{10}{15}$
   4. $\frac{1}{2}$
3. Question 3: What is the GCF of 45 and 60?
   1. 15
   2. 5
   3. 3
   4. 45
4. Question 4: Simplify the fraction $\frac{36}{48}$ using the GCF.
   1. $\frac{3}{4}$
   2. $\frac{6}{8}$
   3. $\frac{9}{12}$
   4. $\frac{1}{2}$
5. Question 5: Find the GCF of 28 and 42.
   1. 14
   2. 7
   3. 2
   4. 28
6. Question 6: Simplify the fraction $\frac{24}{36}$ using the GCF.
   1. $\frac{2}{3}$
   2. $\frac{4}{6}$
   3. $\frac{8}{12}$
   4. $\frac{1}{2}$
7. Question 7: What is the GCF of 15 and 25?
   1. 5
   2. 3
   3. 1
   4. 15