To simplify each fraction to its lowest terms, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). Let's solve each fraction step by step.
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1. Simplify \( \frac{6}{12} \)
- The GCD of 6 and 12 is 6.
- Divide both the numerator and the denominator by 6:
\[
\frac{6 \div 6}{12 \div 6} = \frac{1}{2}
\]
-
Answer: \( \frac{1}{2} \)
---
2. Simplify \( \frac{2}{8} \)
- The GCD of 2 and 8 is 2.
- Divide both the numerator and the denominator by 2:
\[
\frac{2 \div 2}{8 \div 2} = \frac{1}{4}
\]
-
Answer: \( \frac{1}{4} \)
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3. Simplify \( \frac{12}{36} \)
- The GCD of 12 and 36 is 12.
- Divide both the numerator and the denominator by 12:
\[
\frac{12 \div 12}{36 \div 12} = \frac{1}{3}
\]
-
Answer: \( \frac{1}{3} \)
---
4. Simplify \( \frac{4}{20} \)
- The GCD of 4 and 20 is 4.
- Divide both the numerator and the denominator by 4:
\[
\frac{4 \div 4}{20 \div 4} = \frac{1}{5}
\]
-
Answer: \( \frac{1}{5} \)
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5. Simplify \( \frac{3}{12} \)
- The GCD of 3 and 12 is 3.
- Divide both the numerator and the denominator by 3:
\[
\frac{3 \div 3}{12 \div 3} = \frac{1}{4}
\]
-
Answer: \( \frac{1}{4} \)
---
6. Simplify \( \frac{2}{6} \)
- The GCD of 2 and 6 is 2.
- Divide both the numerator and the denominator by 2:
\[
\frac{2 \div 2}{6 \div 2} = \frac{1}{3}
\]
-
Answer: \( \frac{1}{3} \)
---
7. Simplify \( \frac{5}{20} \)
- The GCD of 5 and 20 is 5.
- Divide both the numerator and the denominator by 5:
\[
\frac{5 \div 5}{20 \div 5} = \frac{1}{4}
\]
-
Answer: \( \frac{1}{4} \)
---
8. Simplify \( \frac{18}{30} \)
- The GCD of 18 and 30 is 6.
- Divide both the numerator and the denominator by 6:
\[
\frac{18 \div 6}{30 \div 6} = \frac{3}{5}
\]
-
Answer: \( \frac{3}{5} \)
---
9. Simplify \( \frac{10}{20} \)
- The GCD of 10 and 20 is 10.
- Divide both the numerator and the denominator by 10:
\[
\frac{10 \div 10}{20 \div 10} = \frac{1}{2}
\]
-
Answer: \( \frac{1}{2} \)
---
10. Simplify \( \frac{12}{24} \)
- The GCD of 12 and 24 is 12.
- Divide both the numerator and the denominator by 12:
\[
\frac{12 \div 12}{24 \div 12} = \frac{1}{2}
\]
-
Answer: \( \frac{1}{2} \)
---
11. Simplify \( \frac{20}{30} \)
- The GCD of 20 and 30 is 10.
- Divide both the numerator and the denominator by 10:
\[
\frac{20 \div 10}{30 \div 10} = \frac{2}{3}
\]
-
Answer: \( \frac{2}{3} \)
---
12. Simplify \( \frac{18}{36} \)
- The GCD of 18 and 36 is 18.
- Divide both the numerator and the denominator by 18:
\[
\frac{18 \div 18}{36 \div 18} = \frac{1}{2}
\]
-
Answer: \( \frac{1}{2} \)
---
Final Answers:
\[
\boxed{
\begin{array}{ccc}
1. & \frac{1}{2} & 2. & \frac{1}{4} & 3. & \frac{1}{3} \\
4. & \frac{1}{5} & 5. & \frac{1}{4} & 6. & \frac{1}{3} \\
7. & \frac{1}{4} & 8. & \frac{3}{5} & 9. & \frac{1}{2} \\
10. & \frac{1}{2} & 11. & \frac{2}{3} & 12. & \frac{1}{2}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of lowest term worksheet.
