Question
Reduce to lowest terms: \( \frac{4}{6} \) \( 3 / 2 \) \( 1 / 4 \) \( 2 / 3 \)
Ask by Daniels Powers. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{4}{6}\) reduces to \(\frac{2}{3}\), \(\frac{3}{2}\) is already in lowest terms, \(\frac{1}{4}\) is already in lowest terms, and \(\frac{2}{3}\) is already in lowest terms.
Solution
Sure, let's reduce each of the given fractions to their lowest terms.
1. **\(\frac{4}{6}\)**
- **Find the Greatest Common Divisor (GCD)** of 4 and 6, which is 2.
- **Divide both numerator and denominator** by the GCD:
\[
\frac{4 \div 2}{6 \div 2} = \frac{2}{3}
\]
- **Reduced Form:** \(\frac{2}{3}\)
2. **\(\frac{3}{2}\)**
- **Find the GCD** of 3 and 2, which is 1.
- Since the GCD is 1, the fraction is already in its lowest terms.
- **Reduced Form:** \(\frac{3}{2}\)
3. **\(\frac{1}{4}\)**
- **Find the GCD** of 1 and 4, which is 1.
- Since the GCD is 1, the fraction is already in its lowest terms.
- **Reduced Form:** \(\frac{1}{4}\)
4. **\(\frac{2}{3}\)**
- **Find the GCD** of 2 and 3, which is 1.
- Since the GCD is 1, the fraction is already in its lowest terms.
- **Reduced Form:** \(\frac{2}{3}\)
---
**Summary of Reduced Fractions:**
- \(\frac{4}{6} = \frac{2}{3}\)
- \(\frac{3}{2}\) (already in lowest terms)
- \(\frac{1}{4}\) (already in lowest terms)
- \(\frac{2}{3}\) (already in lowest terms)
If you have any more fractions you'd like to simplify or any other questions, feel free to ask!
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
In reducing \( \frac{4}{6} \) to its lowest terms, you can divide both the numerator and the denominator by their greatest common divisor, which is 2. This gives you \( \frac{4 \div 2}{6 \div 2} = \frac{2}{3} \). Voilà, reduced! Now, if you were to compare \( \frac{4}{6} \) with other fractions like \( 3/2, 1/4, \) and \( 2/3 \), you'd find that \( \frac{2}{3} \) is less than \( \frac{3}{2} \), more than \( \frac{1}{4} \), and equal to itself, keeping your fraction relationships fresh and in check!
